(a) A random sample of 20 observations yielded a mean of 40 and standard deviation 10. Test...

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(a) A random sample of 20 observations yielded a mean of 40 and standard deviation 10. Test the hypothesis that μ = 45 against the alternative that it is not. Use the 5% significance level.

(b) What assumption are you implicitly making in carrying out this test?

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