Suppose that the data set in DS 15.1.1 consists of values

Chapter 15, Problem 15.1.5

(choose chapter or problem)

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.

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