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:   a. Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04.   b. Reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04.   c. Reject the null hypothesis because the value of z is negative.   d. Reject the null hypothesis because |−1.75|>0.04.   e. Do not reject the null hypothesis because |−1.75|>0.04.

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Author:Amos Gilat
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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:

 
a. Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04.
 
b. Reject the null hypothesis because the p-value 0.0401 is greater than the significance level α=0.04.
 
c. Reject the null hypothesis because the value of z is negative.
 
d. Reject the null hypothesis because |−1.75|>0.04.
 
e. Do not reject the null hypothesis because |−1.75|>0.04.
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