# B DESIGN State Significance Level of the test

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Chapter 9 / Exercise 30
Mathematics for Elementary School Teachers
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Math 10 - Homework 6 – Answers to homework 1. In your work for a national health organization, you are asked to monitor the amount of sodium in a certain brand of cereal. You find that a random sample of 82 cereal servings has a mean sodium content of 232 milligrams with a standard deviation of 10 milligrams. At α = 0.01 , can you conclude that the mean sodium content per serving of cereal is more than 230 milligrams? (a) (DESIGN) State your Hypothesis Ho: μ ≤ 230 Ha: μ > 230 (d) (DESIGN) Determine decision rule (pvalue method) Reject Ho if p-value < α (.01) (e) (DATA) Conduct the test and circle your decision Z ≈ t = (232-230)/(10/sqrt(82)) = 1.81 p-value =P(Z>1.81) = 0.0351 > α (b) (DESIGN) State Significance Level of the test (c) (DESIGN) Determine the statistical model (test statistic)
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Chapter 9 / Exercise 30
Mathematics for Elementary School Teachers
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2. A tourist agency in Florida claims the mean daily cost of meals and lodging for a family of four traveling in Florida is \$284. You work for a consumer protection advocate and want to test this claim. In a random sample of 50 families of four traveling in Florida, the mean daily cost of meals and lodging is \$292 and the standard deviation is \$25. At α = 0.05, do you have enough evidence to reject the agency's claim?