MATH 221 Week 7 DQ Rejection Region

. A study claims that the mean survival time for certain cancer patients treated immediately with chemotherapy and radiation is 16 months.

STUDY PLAN: 7.1.29, 7.1.30

OBJECTIVE: TEST A CLAIM ABOUT A MEAN USING CRITICAL VALUES

2. A company that makes colas drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 43.3 milligrams with a standard deviation of 6.8 milligrams. At alpha = 0.05, can you reject the company’s claim?

STUDY PLAN: 7.2.35, 7.2.37

OBJECTIVE: TEST A CLAIM ABOUT A MEAN USING T- TEST

3. Use technology and a t-test to test the claim about the population mean at the given level of significance aloha using the given sample statistics. Assume the population is normally distributes. Claim mu > 71; alpha = 0.01; sample mean = 73.1, s= 3.6 , n= 27

STUDY PLAN 7.3.23, 7.3.31

OBJECTIVE: Find P Value for t- test

4. For your study on the food consumption habits of teenage males, you randomly select 10 teenage males and ask each how many 12-ounce servings of soda he drinks each day. The results are listed below. At alpha =0.05, is there enough evidence to support the claim that teenage males drink fewer than three 12-ounce servings of soda per day? Assume the population is normally distributed.

3.9 2.7 2.8 2.6 1.9 3.8 2.6 3.8 3.5 1.1

STUDY PLAN: 7.3.29, 7.3.30

OBJECTIVE: TEST THE CLAIM FOR PROPORTIONS USING REJECTION REGION

5. A humane society claims that less than 35% of U.S households owns a dog. In a random sample of 409 U.S households, 154 say they own a dog. At alpha =0.10, is there enough evidence to support the society’s claim?

STUDY PLAN: 7.4.15, 7.4.17