Question

In: Statistics and Probability

A graphing calculator is recommended. Three students, Linda, Tuan, and Javier, are given five laboratory rats...

A graphing calculator is recommended.

Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 10%, test the hypothesis that the three formulas produce the same mean weight gain. (Let 1 = Linda's rats, 2 = Tuan's rats and 3 = Javier's rats.)

Weights of Student Lab Rats
Linda's rats Tuan's rats Javier's rats
45.3 48.7 52.7
40.9 42.0 42.2
42.8 40.2 39.5
47.7 47.6 46.9
40.0 45.6 50.1

1) What is the p-value? (Round your answer to four decimal places.)

A graphing calculator is recommended.

A researcher wants to know if the mean times (in minutes) that people watch their favorite news station are the same. Suppose that the table below shows the results of a study.

CNN FOX Local
45 16 72
13 43 37
18 68 56
38 50 60
23 31 51
35 22

Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05. (Let 1 = CNN, 2 = FOX, and 3 = Local.)

1)What is the test statistic? (Round your answer to two decimal places.)

2) What is the p-value? (Round your answer to four decimal places.)

Solutions

Expert Solution

1)

pvalue = 0.5582

we don't reject theHo

conclusion--

three formulas have same mean weight gain


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