Question: Kenneth, a competitor in cup stacking, claims that his average stacking time is8.2 seconds. During a practice session, Kenneth has a sample stacking time mean

Kenneth, a competitor in cup stacking, claims that his average stacking time is8.2

seconds. During a practice session, Kenneth has a sample stacking time mean of7.8

seconds based on11 trials. At the4% significance level, does the data provide sufficient evidence to conclude that Kenneth's mean stacking time is less than8.2 seconds? Accept or reject the hypothesis given the sample data below.

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

Select the correct answer below:

1) Do not reject the null hypothesis because thep-value0.0401is greater than the significance level=0.04

.

2) Reject the null hypothesis because thep-value0.0401is greater than the significance level=0.04

.

3) Reject the null hypothesis because the value ofz is negative.

4) Reject the null hypothesis because|1.75|>0.04

.

5) Do not reject the null hypothesis because|1.75|>0.04

.

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