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# A statistical quality control process for cereal

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Question 18 (4 points) A statistical quality control process for cereal production measures the weight of a cereal box. The population standard deviation is known to be .06 ounces. In order to achieve a 97% confidence with a margin of error of .02 ounces, how large a sample should be used? Student response: Percent Value Correct Response Student Response Answer Choices 100.0% a. 43 0.0% b. 707 0.0% c. 32 0.0% d. 25 0.0% e. 20 Score: 4 / 4 Question 19 (4 points) The power of a statistical test is the probability of rejecting the null hypothesis when it is true. Student response: Percent Value Correct Response Student Response Answer Choices 0.0% 100.0% Score: 4 / 4 Question 20 (4 points) When conducting a hypothesis test about a single mean, at a given level of significance, as the sample size n increases, the power of the test: Student response: Percent Value Correct Response Student Response Answer Choices

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0.0% 100.0% 0.0% 0.0% Score: 4 / 4 Question 21 (4 points) If a one-sided null hypothesis for a single mean cannot be rejected at a given significance level, then the corresponding two-sided null hypothesis (i.e., the same sample size, the same standard deviation, and the same mean) will_________ be rejected at the same significance level. Student response: Percent Value Correct Response Student Response Answer Choices 0.0% 0.0% 100.0% Score: 4 / 4 Question 22 (4 points) When the level of confidence and the sample size remain the same, a confidence interval for a population mean μ will be wider, when the sample standard deviation s is small than when s is large. Student response: Percent Value Correct Response Student Response Answer Choices 0.0% a. True 100.0% b. False Score: 4 / 4 Question 23 (4 points) In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3 inches with a variance of .09. What is the 90% confidence interval for the true mean length of the bolt?
Student response: Percent Value Correct Response Student Response Answer Choices 0.0% 0.0% 0.0% 100.0% 0.0% Score: 4 / 4 Question 24 (4 points) In a manufacturing process, we are interested in measuring the average length of a certain type of bolt. Past data indicates that the standard deviation is .25 inches. How many bolts should be sampled in order to make us 95% confident that the sample mean bolt length is within .02 inches of the true mean bolt length? Student response: Percent Value Correct Response Student Response Answer Choices 0.0% 0.0% 0.0% 100.0% 0.0% Score: 4 / 4

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