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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 8.5 seconds? Given the sample data below, accept or reject the hypothesis.

• H0:μ=8.5 seconds; Ha:μ>8.5 seconds
• α=0.04(significance level)
• z0=0.61
• p=0.2709

Do not reject the null hypothesis because 0.61>0.04.

Reject the null hypothesis because the value of z is positive.

Reject the null hypothesis because 0.61>0.04.

Reject the null hypothesis because the p-value 0.2709 is greater than the significance level α=0.04.

Do not reject the null hypothesis because the p-value 0.2709 is greater than the significance level α=0.04.

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 57 meters? Given the sample data below, accept or reject the hypothesis.

• H0:μ=57 meters; Ha:μ>57 meters
• α=0.02(significance level)
• z0=2.61
• p=0.0045

Ans:

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.)

Ans.

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 223 yards, 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 223 yards? Given the sample data below, accept or reject the hypothesis.

• H0:μ=223 yards; Ha:μ<223 yards
• α=0.02(significance level)
• z0=−1.26
• p=0.1038

Reject the null hypothesis because the p-value 0.1038 is greater than the significance level α=0.02.

Do not reject the null hypothesis because the p-value 0.1038 is greater than the significance level α=0.02.

Reject the null hypothesis because |−1.26|>0.02.

Do not reject the null hypothesis because the value of z is negative.

Do not reject the null hypothesis because |−1.26|>0.02.

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.)

Ans.

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.) Ans.

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 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

• Reject the null hypothesis because |−1.99|>0.01.
• Do not reject the null hypothesis because |−1.99|>0.01.
• Reject the null hypothesis because the p-value 0233is greater than the significance level α=0.01.
• Do not reject the null hypothesis because the value of this negative.
• Do not reject the null hypothesis because the p-value 0233is greater than the significance level α=0.01.

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.

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

• Do not reject the null hypothesis because 1>0.05.
• Do not reject the null hypothesis because the value of zis positive.
• Reject the null hypothesis because 75>0.05.
• Reject the null hypothesis because the p-value 018is less than the significance level α=0.05.
• Do not reject the null hypothesis because the p-value 018is less than the significance level α=0.05.

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.

Right-Tailed T-Table

 probability 0.0004 0.0014 0.0024 0.0034 0.0044 0.0054 0.0064 Degrees of Freedom 54 3.562 3.135 2.943 2.816 2.719 2.641 2.576 55 3.558 3.132 2.941 2.814 2.717 2.640 2.574 56 3.554 3.130 2.939 2.812 2.716 2.638 2.572 57 3.550 3.127 2.937 2.810 2.714 2.636 2.571 58 3.547 3.125 2.935 2.808 2.712 2.635 2.569 59 3.544 3.122 2.933 2.806 2.711 2.633 2.568 60 3.540 3.120 2.931 2.805 2.709 2.632 2.567

Therefore,  and P value

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.) Ans.

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.

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

Do not reject the null hypothesis because the p-value 0.2266 is greater than the significance level α=0.02.

Do not reject the null hypothesis because the value of z is negative.

Do not reject the null hypothesis because |−0.75|>0.02.

Reject the null hypothesis because |−0.75|>0.02.

Reject the null hypothesis because the p-value 0.2266 is greater than the significance level α=0.02.

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 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

Reject the null hypothesis because the p-value 0.0721 is greater than the significance level α=0.01.

Do not reject the null hypothesis because the p-value 0.0721 is greater than the significance level α=0.01.

Reject the null hypothesis because |−1.46|>0.01.

Do not reject the null hypothesis because |−1.46|>0.01.

Do not reject the null hypothesis because the value of z is negative.

Question

Ruby, a bowler, has a sample game score mean of 125.8 from 25 games. Ruby still claims that her average game score is 140, and the low average can be attributed to chance. At the 5% significance level, does the data provide sufficient evidence to conclude that Ruby’s mean game score is less than 140? Given the sample data below, accept or reject the hypothesis.

• H0:μ=140; Ha:μ<140
• α=0.05(significance level)
• z0=−0.52
• p=0.3015

Question

Marie, a bowler, has a sample game score mean of 129.2 from 24 games. Marie still claims that her average game score is 143, and the low average can be attributed to chance. At the 5% significance level, does the data provide sufficient evidence to conclude that Marie’s mean game score is less than 143? Given the sample data below, accept or reject the hypothesis.

• H0:μ=143; Ha:μ<143
• α=0.05 (significance level)
• z0=−1.07
• p=0.1423