 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