# Students T-Test for Furniture Store Data

A furniture store claims that a specially ordered product will take, on average, M = 35 days (5 weeks) to arrive. The standard deviation of these waiting times is 8 days. We suspect that the special orders are taking longer than this. To test this suspicion, we track a random sample of 100 special orders and find that the orders took a mean of 36 days to arrive. Can we conclude at the 0.05 level of significance that the mean waiting time on special orders at this furniture store exceeds 35 days?

Perform a one-tailed test. Then fill in the table below.

The null hypothesis is:

The alternative hypothesis is:

The type of test statistic is: z, t, chi square or f

The value of the test statistic (rounded to at least three decimals

The p-value (rounded to at least three decimals)

Can we conclude that the mean waiting time on special orders at this furniture store exceeds 35 day?

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#### Solution Summary

The Null Hypothesis, Alternative Hypothesis, Significance Level, Critical Value, P value are given in the solution in an attached Word document.