A random sample of 8 has a mean of 543. Test the null hypothesis that =

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A random sample of 8 has a mean of 543. Test the null hypothesis that μ = 500 against the alternative hypothesis that μ > 120 at a 1% level of significance for the following cases;

(a) assuming the population standard deviation of 45 is known, and

(b) assuming that the population standard deviation is unknown with a sample value of 45. Discuss the results.

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