In: Statistics and Probability
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.)
1)
pvalue = 0.5582
we don't reject theHo
conclusion--
three formulas have same mean weight gain