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Problem 1.
Suppose data is drawn from a normal distribution with unknown mean and unknown standard deviation. We make the following hypotheses:There are 100 points with a sample mean of 2 and sample variance of 36.
For a one-sample -test let : and : .
(a) What is the value of the statistic?
(b) How many degrees of freedom does the null distribution have?
(c) What is the -value for this test? Use R to compute your answer.
(d) At a significance level of do you reject the null hypothesis in favor of ?
Yes
No