Question

In: Statistics and Probability

H1: ≠ 200, S = 30, n = 64, and = 218. Conduct a two-tailed hypothesis...

H1: ≠ 200, S = 30, n = 64, and = 218. Conduct a two-tailed hypothesis test at the 0.05 significance level. Do you reject or not reject the null hypothesis?

Please show the work and comment on the results.

If the data had been generated with a sample of 25 (n = 25), what statistical test would have been appropriate?

Solutions

Expert Solution

For n = 64, since sample size is large enough (>30), we can approximate the sampling distribution of sample mean by normal distribution. So, we can use t statistic.

But, for n = 25, we can not approximate the sampling distribution of sample mean by normal distribution. So, we can't use t statistic.


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