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Hypothesis testing of a single mean.

Someone claims that the mean age of residents of a certain neighbourhood is 50, but you suspect that the mean age is actually higher than that. A sample of 36 residents reveals a mean age of 53, with a sample standard deviation of 15.

a. position the null and alternative hypotheses.

b. work out the value of the test statistic.

c. Taking α to be 0.05, what are the critical values associated with testing your hypothesis?

d. What end do you come to?

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