For each of the following situations in problems 1-7, determine which of the fol

Question

For each of the following situations in problems 1-7, determine which of the following tests should be used. Assume necessary conditions have been met. (Answers may be used more than once or not at all.)

A. 1 sample z test B. 1 sample t test C. 2 sample t test D. Chi-squared E. 1 proportion z test F. 2 proportion z test G. matched pairs t test

6. Based on information from Consumer Reports (October 1993), a random sample of 86 thirty-gram servings of Duncan Hines Chocolate Chip Cookies had a mean of 132 calories with standard deviation 27 calories. A random sample of 75 Pepperidge Farm Chocolate Chip Cookies (30-gram servings) had a mean of 124 calories and standard deviation of 33 calories. Does this information indicate that there is a difference in the average number of calories for these two cookies brands?

7. Math Horizons is a publication of the Mathematical Association of America. The 1993 issue reports that in the U.S., graduating math majors who also have studied actuarial science (statistics) have a mean first-year salary of $27,600. Suppose that a random sample of 36 such graduates in the Denver region showed that they were earning an average of $27,810 with standard deviation $915. Does this indicate that the population mean salary in the Denver region is higher than the national average?

Explanation / Answer

6:

Here we have two independent samples of cookies from two different barnds and we want to know whether there is a difference in the average number of calories for these two cookies brands so C. 2 sample t test will be used.

Here t test is used becaue population standard deviation is unknonw.

7:

Here we have sinlge sample and hypothesis is about mean.

Here t test is used becaue population standard deviation is unknonw.

Correct option is : B. 1 sample t test

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