A random sample of 10 has a mean of 110. Test the null hypothesis that =

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A random sample of 10 has a mean of 110. Test the null hypothesis that μ = 120 against the alternative hypothesis that μ < 120 at the 5% level of significance for the following cases:

(a) assuming that the population standard deviation of 18 is known; and

(b) assuming that the population standard deviation is unknown and the sample value is 18.

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