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A random sample of 1 562 undergraduates enrolled in management ethics

A random sample of 1,562 undergraduates enrolled in management ethics courses was asked to respond, on a scale from 1 (strongly disagree) to 7 (strongly agree), to this proposition: Senior corporate executives are interested in social justice. The sample mean response was 4.27, and the sample standard deviation was 1.32.

a. Test at the 1% level, against a two-sided alternative, the null hypothesis that the population mean is 4.

b. Find the probability of a 1%-level test accepting the null hypothesis when the true mean response is 3.95.

a. Test at the 1% level, against a two-sided alternative, the null hypothesis that the population mean is 4.

b. Find the probability of a 1%-level test accepting the null hypothesis when the true mean response is 3.95.

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