SOLUTION: A local retailer claims that the mean waiting time is less than 8 minutes. A random sample of 20 waiting times has a sample mean of 6.4 minutes with a sample standard deviation of

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Question 928128: A local retailer claims that the mean waiting time is less than 8 minutes. A random sample of 20 waiting times has a sample mean of 6.4 minutes with a sample standard deviation of 2.1 minutes. A a=0.01 test the retailer's claim. The null hypothesis is mu=8 mins.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: u = 8min
Ha: u < 8min (claim)
.......
sample of 20: mean of 6.4 minutes with a sample standard deviation of 2.1 minutes.
t(6.4) = -1.6/(2.1/sqrt(20)) = -3.407
p-value = tcdf(-100, -3.407, 19) = .0015
.......
confidence level .01
.0015< .01
Test results rejects Ho and supports retailer's claim