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 = Z_0.05 = 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 1 year ago

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