The Myers Summer Casual Furniture Store tells customers that a special order wil
ID: 3434821 • Letter: T
Question
The Myers Summer Casual Furniture Store tells customers that a special order will take six weeks (42 days). During the recent months the owner has received several complaints that the special orders take longer than 46 days. A sample of 15 special orders delivered in the last month showed that the sample mean waiting time was 56 days with a sample standard deviation of 8 days. At the .05 (5%) level of significance are the customers waiting an average of more than 42 days
show all 5 steps in your hypotheses test
Explanation / Answer
Given n=15, xbar=56, s=8, mean=42
The test hypothesis is
Ho:<=42
Ha:>42
The test statistic is
t=(xbar-)/(s/n)
=(56-42)/(8/sqrt(15))
=6.78
Given a=0.05, the critical value is |t(0.05, df=n-1=14)|=1.76 (check student t table)
Since t=6.78 is larger than 1.76, we reject Ho.
So we can conclude that he customers are waiting an average of more than 42 days