MATH 225N Week 7 Assignment Conducting a Hypothesis Test for Mean – Population Standard Deviation Known P-Value Approach

MATH 225N Week 7 Assignment: Conducting a Hypothesis Test for Mean – Population Standard Deviation Known P-Value Approach

1. Question: Jacqueline a golfer has a sample driving distance mean of 2.2 yd from 12 drives. Jacqueline still claims that her average driving distance is 223 yards and averaged can be attributed to chance. at the 2% significance level does the data provide sufficient evidence to conclude that Jacqueline’s mean driving distance is less than 223 yards. Given the sample data below accept or reject the hypothesis?
2. Question: what is the P value of two tailed one mean hypothesis test with the test statistics of z=-1.01. do not round your answer compute your answer using the value from the table below?
3. Question: what is the P value of two tailed one mean hypothesis test with the test statistics of z=-2.1. do not round your answer compute your answer using the value from the table below?
4. Question: Timothy a bowler has a sample game score mean of 20 2.1 from 11 games. Timothy still claim that his average game score is 182 and the highest average can be contributed to chairs at the 5% significance level does the data provide sufficient evidence to conclude that the motive mean game score is greater than 182.? given the sample data below accept or reject the hypothesis.
5. Question: Mary a javelin thrower claim that her average throw is 61 meters during a practice session Mary has a sample true meaning of 55.5 M based on 12th throws. at the 1% significance level does the data provide sufficient evidence to conclude that Mary’s mean throw is less than 61 meters? accept or reject null hypothesis given the sample data below.
6. Question: Christina a javelin thrower has a sample throw mean of 62.3 from 29 throws. Christina still claim that her average throw is 57 M and the high average can be attributed to chance, at the 2% significance level. Does the data provide sufficient evidence to conclude that Christina’s mean throw is greater than 57 M?? given the sample data below accept or reject the hypothesis.
7. Question: what is the P value of a two-tailed one mean hypothesis test with the test statistics of z=0.27? do not round your answer computer answers using a value from the table below.
8. Question: Curtis is a statistician who claims that the average salary of an employee in the city of yarmouth is no more than $55,000 per year. Jena his colleague believes this to be incorrect so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculate the sample mean income to be $56,500 per year with the sample standard deviation of 3750. using the alternative hypothesis find the test statistics and the P value for the appropriate hypothesis test rounded to two decimal places and the P value to three decimal places?
   

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MATH 225N Week 7 Assignment: Conducting a Hypothesis Test for Mean – Population Standard Deviation Known P-Value Approach

1. Question: Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis H_a:μ>55,000, find the test statistic t and the p-value for the appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places.
2. Question: Mary, a javelin thrower, claims that her average throw is 61 meters. During a practice session, Mary has a sample throw mean of 55.5 meters based on 12 throws. At the 1% significance level, does the data provide sufficient evidence to conclude that Mary’s mean throw is less than 61meters? Accept or reject the hypothesis given the sample data below.
3. Question: Jacqueline, a golfer, has a sample driving distance mean of 202.0 yards from 12 drives. Jacqueline still claims that her average driving distance is 223yards, and the low average can be attributed to chance. At the 2% significance level, does the data provide sufficient evidence to conclude that Jacqueline’s mean driving distance is less than 223yards? Given the sample data below, accept or reject the hypothesis.
4. Question: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=−1.59? (Do not round your answer; compute your answer using a value from the table below.)
5. Question: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=−1.73? (Do not round your answer; compute your answer using a value from the table below.)
6. Question: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z₀=0.27? (Do not round your answer; compute your answer using a value from the table below.)
7. Question: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z₀=0.27? (Do not round your answer; compute your answer using a value from the table below.)
8. Question: Christina, a javelin thrower, has a sample throw mean of 62.3 meters from 29 throws. Christina still claims that her average throw is 57 meters, and the high average can be attributed to chance. At the 2% significance level, does the data provide sufficient evidence to conclude that Christina’s mean throw is greater than 57meters? Given the sample data below, accept or reject the hypothesis.
9. Question: Elizabeth claims that her average typing speed is greater than 87 words per minute. From recent typing trials, it is observed that Elizabeth has a sample typing speed mean of 98.9 words per minute (based on 18trials).
10. Question: Shawn, a competitor in cup stacking, has a sample stacking time mean of 9.2 seconds from 13 trials. Shawn still claims that her average stacking time is 8.5 seconds, and the high average can be attributed to chance. At the 4% significance level, does the data provide sufficient evidence to conclude that Shawn’s mean stacking time is greater than 8.5seconds? Given the sample data below, accept or reject the hypothesis.
11. Question: Marty, a typist, claims that his average typing speed is 72 words per minute. During a practice session, Marty has a sample typing speed mean of 84 words per minute based on 12 trials. At the 5% significance level, does the data provide sufficient evidence to conclude that his mean typing speed is greater than 72 words per minute? Accept or reject the hypothesis given the sample data below.
12. Question: Kathryn, a golfer, has a sample driving distance mean of 187.3 yards from 13 drives. Kathryn still claims that her average driving distance is 207yards, and the low average can be attributed to chance. At the 1% significance level, does the data provide sufficient evidence to conclude that Kathryn’s mean driving distance is less than 207 yards? Given the sample data below, accept or reject the hypothesis.
13. Question: Timothy, a bowler, has a sample game score mean of 202.1 from 11 games. Timothy still claims that his average game score is 182, and the high average can be attributed to chance. At the 5% significance level, does the data provide sufficient evidence to conclude that Timothy’s mean game score is greater than 182? Given the sample data below, accept or reject the hypothesis.
14. Question: Jose, a competitor in cup stacking, has a sample stacking time mean of 7.5 seconds from 13 trials. Jose still claims that his average stacking time is 8.5 seconds, and the low average can be attributed to chance. At the 2% significance level, does the data provide sufficient evidence to conclude that Jose’s mean stacking time is less than 8.5 seconds? Given the sample data below, accept or reject the hypothesis.
15. Question: Nancy, a golfer, claims that her average driving distance is 253 yards. During a practice session, Nancy has a sample driving distance mean of 229.6 yards based on 18 drives. At the 2% significance level, does the data provide sufficient evidence to conclude that Nancy’s mean driving distance is less than 253 yards? Accept or reject the hypothesis given the sample data below.
    

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MATH 225N Week 7 Assignment: Conducting a Hypothesis Test for Mean – Population Standard Deviation Known P-Value Approach

1. Question: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=−1.73? (Do not round your answer; compute your answer using a value from the table below.)…. z−1.8−1.7−1.6−1.5−1.40.000.0360.0450.0550.0670.0810.010.0350.0440.0540.0660.0790.020.0340.0430.0530.0640.0780.030.0340.0420.0520.0630.0760.040.0330.0410.0510.0620.0750.050.0320.0400.0490.0610.0740.060.0310.0390.0480.0590.0720.070.0310.0380.0470.0580.0710.080.0300.0380.0460.0570.0690.090.0290.0370.0460.0560.068

2. Question: Mary, a javelin thrower, claims that her average throw is 61 During a practice session, Mary has a sample throw mean of 55.5 meters based on 12 throws. At the 1% significance level, does the data provide sufficient evidence to conclude that Mary’s mean throw is less than 61 meters? Accept or reject the hypothesis given the sample data below.

• H0:μ=61 meters; Ha:μ<61 meters
• α=0.01 (significance level)
• z0=−1.99
• p=0.0233
• The Right Choice Is Option E
• i.e
• Do Not Reject The Null Hypothesis because The P value is 0.02333 is Greater than The Significance Level 0.01

3. Question: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=0.27? (Do not round your answer; compute your answer using a value from the table below.)….. 10.20.30.40.50.000.5400.5790.6180.6550.6910.010.5440.5830.6220.6590.6950.020.5480.5870.6260.6630.6980.030.5520.5910.6290.6660.7020.040.5560.5950.6330.6700.7050.050.5600.5990.6370.6740.7090.060.5640.6030.6410.6770.7120.070.5670.6060.6440.6810.7160.080.5710.6100.6480.6840.7190.090.5750.6140.6520.6880.722

4. Question: Marty, a typist, claims that his average typing speed is 72 words per minute. During a practice session, Marty has a sample typing speed mean of 84 words per minute based on 12 At the 5% significance level, does the data provide sufficient evidence to conclude that his mean typing speed is greater than 72 words per minute? Accept or reject the hypothesis given the sample data below.

• H0:μ≤72 words per minute; Ha:μ>72 words per minute
• α=0.05 (significance level)
• z0=2.1
• p=0.018

5. Question: Nancy, a golfer, claims that her average driving distance is 253 During a practice session, Nancy has a sample driving distance mean of 229.6 yards based on 18 drives. At the 2% significance level, does the data provide sufficient evidence to conclude that Nancy’s mean driving distance is less than 253 yards? Accept or reject the hypothesis given the sample data below.

• H0:μ=253 yards; Ha:μ<253 yards
• α=0.02 (significance level)
• z0=−0.75
• p=0.2266

6. Question: Kathryn, a golfer, has a sample driving distance mean of 3 yards from 13 drives. Kathryn still claims that her average driving distance is 207 yards, and the low average can be attributed to chance. At the 1% significance level, does the data provide sufficient evidence to conclude that Kathryn’s mean driving distance is less than 207 yards? Given the sample data below, accept or reject the hypothesis.

• H0:μ=207 yards; Ha:μ<207 yards
• α=0.01 (significance level)
• z0=−1.46
• p=0.0721

7. Question: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=−1.01? (Do not round your answer; compute your answer using a value from the table below.)….. z−1.2−1.1−1.0−0.90.000.1150.1360.1590.1840.010.1130.1330.1560.1810.020.1110.1310.1540.1790.030.1090.1290.1520.1760.040.1070.1270.1490.1740.050.1060.1250.1470.1710.060.1040.1230.1450.1690.070.1020.1210.1420.1660.080.1000.1190.1400.1640.090.0990.1170.1380.161

8. Question: What is the p-value of a left-tailed one-mean hypothesis test, with a test statistic of z0=−1.19?…. Use a p-value rounded to 3 decimal places…… Here is a portion of the Standard Normal Table. To read the Standard Normal table, match the ones and tenths digits of the z-value in the first column with the correct hundredths digit in the first row.

9. Question: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=−1.59? (Do not round your answer; compute your answer using a value from the table below.)…. z−1.8−1.7−1.6−1.5−1.40.000.0360.0450.0550.0670.0810.010.0350.0440.0540.0660.0790.020.0340.0430.0530.0640.0780.030.0340.0420.0520.0630.0760.040.0330.0410.0510.0620.0750.050.0320.0400.0490.0610.0740.060.0310.0390.0480.0590.0720.070.0310.0380.0470.0580.0710.080.0300.0380.0460.0570.0690.090.0290.0370.0460.0560.068

10. Question: Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis Ha:μ>55,000, find the test statistic t and the p-value for the appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places.

1. Question: .Jamie, a bowler, claims that her bowling score is less than 168 points, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 1% significance level, to persuade them. She bowls 17 games. The mean score of the sample games is 155 points. Jamie knows from experience that the standard deviation for her bowling score is 19 points.   H0: μ≥168; Ha: μ<168    α=0.01 (significance level)    What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?
2. Question: Which of the following results in a null hypothesis p≤0.61 and alternative hypothesis p>0.61?
3. Question: Lexie, a bowler, claims that her bowling score is more than 140 points, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She bowls 18 games. The mean score of the sample games is 155 points. Lexie knows from experience that the standard deviation for her bowling score is 17 points. H0: μ≤140; Ha: μ>140  α=0.05 (significance level)    What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?
4. Question: Determine the Type II error if the null hypothesis, H0, is: a wooden ladder can withstand weights of 250 pounds and less.
5. Question: Which of the following results in a null hypothesis p=0.3 and alternative hypothesis p≠0.3?
6. Question: Determine the Type I error if the null hypothesis, H0, is: an electrician claims that no more than 10% of homes in the city are not up to the current electric codes.
7. Question: Which graph below corresponds to the following hypothesis test?
   H0:μ≥5.9, Ha:μ<5.9
8. Question: Which graph below corresponds to the following hypothesis test?
   H0:p≤8.1, Ha:p>8.1
9. Question: Suppose the null hypothesis, H0, is: a sporting goods store claims that at least 70% of its customers do not shop at any other sporting goods stores. What is the Type I error in this scenario?
10. Question: Determine the Type II error if the null hypothesis, H0, is: researchers claim that 65% of college students will graduate with debt.
11. Question: Which graph below corresponds to the following hypothesis test?
    H0:μ≤16.9, Ha:μ>16.9
12. Question: Which of the hypothesis tests listed below is a left-tailed test? Select all correct answers.
13. Question: Determine the Type I error if the null hypothesis, H0, is: researchers claim that 65% of college students will graduate with debt.
14. Question: A consumer protection company is testing a seat belt to see how much force it can hold. The null hypothesis, H0, is that the seat belt can hold at least 5000 pounds of force. The alternative hypothesis, Ha, is that the seat belt can hold less than 5000 pounds of force. What is a Type II error in this scenario?
15. Question: Suppose the null hypothesis, H0, is: a sporting goods store claims that at least 70% of its customers do not shop at any other sporting goods stores. What is β, the probability of a Type II error in this scenario?
16. Question: Suppose the null hypothesis, H0, is: doctors believe that a surgical procedure is successful at least 80% of the time. Which of the following gives β, the probability of a Type II error?
17. Question: A car magazine claims that 68% of car owners follow a normal maintenance schedule. A mechanic does not think this is accurate, and so he wants to show that the percentage of people who follow a normal maintenance schedule is not equal to 68%. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the parameter p.H0: p=0.68; Ha: p≠0.68
18. Question: Which of the following results in a null hypothesis p≤0.62 and alternative hypothesis p>0.62?
19. Question: Which of the following results in a null hypothesis μ≥31 and alternative hypothesis μ<31?
20. Question: Which of the following results in a null hypothesis μ≤7 and alternative hypothesis μ>7?
21. Question: Which of the following answers give valid null and alternative hypotheses for a hypothesis test?
22. Question: A mattress store advertises that their beds last at least 5 years, on average. A consumer group thinks that they do not last that long and wants to set up a hypothesis test….. If μ denotes the average time, in years, that the mattresses last, what are the null and alternative hypotheses in this situation?
23. Question: Which of the following results in a null hypothesis p≥0.44 and alternative hypothesis p<0.44?
24. Question: Which of the following results in a null hypothesis p≥0.44 and alternative hypothesis p<0.44?
25. Question: Suppose a pitcher claims that her pitch speed is not equal to 45 miles per hour, on average. Several of her teammates do not believe her, so the pitcher decides to do a hypothesis test, at a 1% significance level, to persuade them. She throws 21 pitches. The mean speed of the sample pitches is 46 miles per hour. The pitcher knows from experience that the standard deviation for her pitch speed is 6 miles per hour. H0: μ=45; Ha: μ≠45    α=0.01 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?
26. Question: Suppose a bowler claims that her bowling score is less than 116 points, on average. Several of her teammates do not believe her, so the bowler decides to do a hypothesis test, at a 5% significance level, to persuade them. She bowls 25 games. The mean score of the sample games is 103 points. The bowler knows from experience that the standard deviation for her bowling score is 19 points. H0: μ≥116; Ha: μ<116 α=0.05 (significance level) What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?
27. Question: Suppose the null hypothesis, H0, is: the mean age of the horses on a ranch is 6 years. What is the Type II error in this scenario?
28. Question: Suppose the null hypothesis, H0, is: a weightlifting bar can withstand weights of 800 pounds and less. What is the Type I error in this scenario?
29. Question: Suppose the null hypothesis, H0, is: doctors believe that a surgical procedure is successful at least 80% of the time. What is the Type I error in this scenario?
30. Question: A consumer protection company is testing a towel rack to see how much force it can hold. The null hypothesis, H0, is that the rack can hold at least 100 pounds of force. The alternative hypothesis, Ha, is that the rack can hold less than 100 pounds of force.What is a Type I error in this scenario?
31. Question: What is β, the probability of a Type II error if the null hypothesis, H0, is: an electrician claims that no more than 10% of homes in the city are not up to the current electric codes. the probability that the electrician thinks that no more than 10% of homes in the city are not up to the current electrical codes when, in fact, more than 10% of the homes are not up to the current electric codes
32. Question: Determine the Type I error if the null hypothesis, H0, is: Carmin believes that her chemistry exam will only cover material from chapters four and five.

1. Question: Mary, a javelin thrower, claims that her average throw is 61 During a practice session, Mary has a sample throw mean of 55.5 meters based on 12 throws. At the 1% significance level, does the data provide sufficient evidence to conclude that Mary’s mean throw is less than 61 meters? Accept or reject the hypothesis given the sample data below.

• H0:μ=61 meters; Ha:μ<61 meters
• α=0.01 (significance level)
• z0=−1.99
• p=0.0233

2. Question: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=−1.73? (Do not round your answer; compute your answer using a value from the table below.)
3. Question: What is the p-value of a left-tailed one-mean hypothesis test, with a test statistic of z0=−0.88? (Do not round your answer; compute your answer using a value from the table below.)
4. Question: Marty, a typist, claims that his average typing speed is 72 words per minute. During a practice session, Marty has a sample typing speed mean of 84 words per minute based on 12 At the 5% significance level, does the data provide sufficient evidence to conclude that his mean typing speed is greater than 72 words per minute? Accept or reject the hypothesis given the sample data below.
5. Question: What is the p-value of a right-tailed one-mean hypothesis test, with a test statistic of z0=2.1? (Do not round your answer; compute your answer using a value from the table below.)
6. Question: What is the p-value of a left-tailed one-mean hypothesis test, with a test statistic of z0=−1.19? Use a p-value rounded to 3 decimal places. Here is a portion of the Standard Normal Table. To read the Standard Normal table, match the ones and tenths digits of the z-value in the first column with the correct hundredths digit in the first row.
7. Question: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=−1.01? (Do not round your answer; compute your answer using a value from the table below.)
8. Question: What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=0.27? (Do not round your answer; compute your answer using a value from the table below.)
9. Question: Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis Ha:μ>55,000, find the test statistic t and the p-value for the appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places.