his problem is fill in the blank.  Just choose the correct answers.  Thank you for your help   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,μ, spent by customers at the supermarkets has been reported to be 36 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that μ is less than 36 minutes. To perform the statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be  29 minutes and the standard deviation of the times to be 12 minutes.   Based on this information, answer the questions below. 1. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0:  (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.      (choose one)      12 minutes, 29 minutes, or 36 minutes. H1: (Choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.          (Choose one)     12 minutes, 29 minutes, or 36 minutes.     2.  In the context of this test, what is a Type I error? A type I error is: (choose one) rejecting or failing to reject the hypothesis the  μ is (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to (Choose one)   12 minutes, 29 minutes, or 36 minutes, when, in fact, μ is (choose one)  less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to (Choose one)   12 minutes, 29 minutes, or 36 minutes.   3.  Suppose that we decide to reject the null hypothesis. What sort of error might we be making?  (Choose one)  Type I or Type II

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This problem is fill in the blank.  Just choose the correct answers.  Thank you for your help

 

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,μ, spent by customers at the supermarkets has been reported to be 36 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that μ is less than 36 minutes.

To perform the statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 

29 minutes and the standard deviation of the times to be 12 minutes.

 

Based on this information, answer the questions below.

1. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?

H0:  (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.

     (choose one)      12 minutes, 29 minutes, or 36 minutes.

H1: (Choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.

         (Choose one)     12 minutes, 29 minutes, or 36 minutes.

 

 

2.  In the context of this test, what is a Type I error?

A type I error is:

(choose one) rejecting or failing to reject the hypothesis the  μ is

(choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to

(Choose one)   12 minutes, 29 minutes, or 36 minutes, when, in fact, μ is

(choose one)  less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to

(Choose one)   12 minutes, 29 minutes, or 36 minutes.

 

3.  Suppose that we decide to reject the null hypothesis. What sort of error might we be making? 

(Choose one)  Type I or Type II

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