Repeat Problem 15 1 5 using the data set in DS 15 1 2 and for the null hypothesis that the median of the distribution 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 distribution Consider testing whether the median of the distribution 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

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 distribution is equal to 40

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.

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