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(CORRECT ANSWER) MATH225N Week 8 Final Exam : Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds.

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QUESTION 6

Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials. At the 4% significance level, does the data provide sufficient evidence to conclude that Kenneth’s mean stacking time is less than 8.2 seconds? Accept or reject the hypothesis given the sample data below.

  • H0:μ=8.2 seconds; Ha:μ<8.2 seconds
  • α=0.04(significance level)
  • z0=−1.75
  • p=0.0401

Select the correct answer below:

Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04.

Reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04.

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

Reject the null hypothesis because |−1.75|>0.04.

Do not reject the null hypothesis because |−1.75|>0.04.

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