Question

In: Statistics and Probability

Consider the following hypothesis test: H 0:   50 H a:  > 50 A sample of 70 is used...

Consider the following hypothesis test:

H 0:   50

H a:  > 50

A sample of 70 is used and the population standard deviation is 7. Use the critical value approach to state your conclusion for each of the following sample results. Use  = .05.

a. With x = 52.5, what is the value of the test statistic (to 2 decimals)?

b.  With x = 51, what is the value of the test statistic (to 2 decimals)?

c. With x = 51.8, what is the value of the test statistic (to 2 decimals)?

Solutions

Expert Solution

Critical value = Z0.05 = 1.645

Rejection region: if test statistic > 1.645

a) test statistic

                       

                        = 2.99

Reject H0 because test statistic > 1.645

b) test statistic

                       

                        = 1.20

Do not reject H0 because test statistic < 1.645

c) test statistic

                       

                        = 2.15

Reject H0 because test statistic > 1.645

orchestra answered 2 years ago
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