10. (12 points) Select three of the following (lettered) questions to answer. If

Question

10. (12 points) Select three of the following (lettered) questions to answer. If you do all of them, I will three. For each example given, state the null and alternative hypotheses and the mos type of statistical test to use. Explain why you chose that test. appropriate A. A particular cookie manufacturer used to claim that their chocolate chip cookies contained "1000 chocolate chips per bag". A group of schoolchildren were concerned that the customers were actually being cheated, so they bought 15 bags of the cookies and then picked each cookie in the bag apart and counted the number of chips per bag so they could test if the "1000 chips per bag" claim was true. Their data are normal. the orain yield of wheat grown in bottomland versus

Explanation / Answer

Answer:

The appropriate type of statistical test to use is one sample t test for the population mean.

The null and alternative hypothesis for this test is given as below:

Null hypothesis: H0: The average chocolate chip cookies per bag is 1000.

Alternative hypothesis: Ha: The average chocolate chip cookies per bag is less than 1000.

H0: µ = 1000 versus Ha: µ < 1000

(Customers were being cheated, means less than 1000 cookies present in per bag.)

This is a one tailed test. This is a lower tailed or left tailed test.

We use t test because population standard deviation is not available and it is given that the population data is normal.

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