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
S
elect 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.