Let X equal the weight (in grams) of a Hershey’s

Chapter 8, Problem 3E

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QUESTION:

PROBLEM 3E

Let X equal the weight (in grams) of a Hershey’s grape-flavored Jolly Rancher. Denote the median of X by m. We shall test H0: m = 5.900 against H1: m > 5.900. A random sample of size n = 25 yielded the following ordered data:

(a) Use the sign test to test the hypothesis.

(b) Use the Wilcoxon test statistic to test the hypothesis.

(c) Use a t test to test the hypothesis.

(d) Write a short comparison of the three tests.

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QUESTION:

PROBLEM 3E

Let X equal the weight (in grams) of a Hershey’s grape-flavored Jolly Rancher. Denote the median of X by m. We shall test H0: m = 5.900 against H1: m > 5.900. A random sample of size n = 25 yielded the following ordered data:

(a) Use the sign test to test the hypothesis.

(b) Use the Wilcoxon test statistic to test the hypothesis.

(c) Use a t test to test the hypothesis.

(d) Write a short comparison of the three tests.

ANSWER:

Step 1 of 5

a) Given, test hypothesis

Test  of Null and alternative hypothesis

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