SOLUTION: Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, � spent by customers at the

Question 329679: Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, � spent by customers at the supermarkets has been reported to be 35 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that � is greater than 35 minutes .
To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 40 minutes and the standard deviation of the times to be 12 minutes.
What are the null hypothesis ( Ho ) and the alternate hypothesis( H1) that should be used in the test.?
In the context of this test, what is the type II error?
A type II error is __________________the hypothesis that is � is ________when, in fact, � is___________
Suppose the consultant decides to reject the null hypothesis. What type of error might she be making?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, � spent by customers at the supermarkets has been reported to be 35 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that � is greater than 35 minutes .
To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 40 minutes and the standard deviation of the times to be 12 minutes.
What are the null hypothesis ( Ho ) and the alternate hypothesis( H1) that should be used in the test.?
---
Ho: u = 35
Ha: u > 35
------
In the context of this test, what is the type II error?
A type II error is failing to reject Ho, the hypothesis that � is = 35
when, in fact, � is not equal to 35.
Suppose the consultant decides to reject the null hypothesis. What type of error might she be making?
Ans: Type I
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Cheers,
Stan H.
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