Repeat Problem 15.1.5 using the data set in DS 15.1.2 and for the null hypothesis that the

Question:

Repeat Problem 15.1.5 using the data set in DS 15.1.2 and for the null hypothesis that the median of the is equal to 40 against a two-sided alternative hypothesis.
Problem 15.1.5
Suppose that the data set in DS 15.1.1 consists of values that can be taken to be independent observations from a particular Consider testing whether the median of the is equal to 18.0 against a two-sided alternative.
(a) What is the value of the test statistic used by the sign test?
(b) Write down an expression for the exact p-value using the sign test.
(c) Use the normal approximation to calculate the p-value using the sign test.
(d) What is the value of the test statistic used by the signed rank test?
(e) Use the normal approximation to calculate the p-value using the signed rank test.
Distribution
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