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12. A company that sells thousands of bicycles online maintains a telephone help line to assembling their bicycle. The company keeps detailed records of the percentage of customers who purchase a bicycle who call in for help. The company claims that 18% of all customers who purchase a bicycle call the help line. (a) Would it be appropriate to use a normal distribution to model the sampling distribution of p^? Support your answer with appropriate math calculations. (b) Let p^= the proportion of customers in a sample who call the help line. Draw the sampling distribution of p for samples of size n = 100 from this population. Include all values on the x axis for plus and minus 3 standar deviations from the mean. Taft New snode and (c) In an effort to reduce the percentage of customers who call in for help, the assembly instructions were rewritten with improved illustrations. The company selects an SRS of 100 purchasers who received the instructions with the improved illustrations. What is the probability that at most 14% of the customers in the sample call the help line? (d) The company finds that 14% of the customers in the sample called the help line. Does this data provide convincing evidence that the proportion of customers who would call the help line when given the improved assembly instructions is less than 0.18? Explain your reasoning by comparing your value you got from question (c) to 5%.

12. A company that sells thousands of bicycles online maintains a telephone help line to assembling their bicycle. The company keeps detailed records of the percentage of customers who purchase a bicycle who call in for help. The company claims that 18% of all customers who purchase a bicycle call the help line. (a) Would it be appropriate to use a normal distribution to model the sampling distribution of p^? Support your answer with appropriate math calculations. (b) Let p^= the proportion of customers in a sample who call the help line. Draw the sampling distribution of p for samples of size n = 100 from this population. Include all values on the x axis for plus and minus 3 standar deviations from the mean. Taft New snode and (c) In an effort to reduce the percentage of customers who call in for help, the assembly instructions were rewritten with improved illustrations. The company selects an SRS of 100 purchasers who received the instructions with the improved illustrations. What is the probability that at most 14% of the customers in the sample call the help line? (d) The company finds that 14% of the customers in the sample called the help line. Does this data provide convincing evidence that the proportion of customers who would call the help line when given the improved assembly instructions is less than 0.18? Explain your reasoning by comparing your value you got from question (c) to 5%.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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12. A company that sells thousands of bicycles online maintains a telephone help line to assist customers who are assembling their bicycle. The company keeps detailed records of the percentage of customers who purchase a bicycle who call in for help. The company claims that 18% of all customers who purchase a bicycle call the help line. (a) Would it be appropriate to use a normal distribution to model the sampling distribution of p^? Support your answer with appropriate math calculations. (b) Let p^ = the proportion of customers in a sample who call the help line. Draw the sampling distribution of p for samples of size n = 100 from this population. Include all values on the x axis for plus and minus 3 standard deviations from the mean. peralat (SU ose mene spisem wildres row to 1 (r) (c) In an effort to reduce the percentage of customers who call in for help, the assembly instructions were rewritten with improved illustrations. The company selects an SRS of 100 purchasers who received the instructions with the improved illustrations. What is the probability that at most 14% of the customers in the sample call the help line? (d) The company finds that 14% of the customers in the sample called the help line. Does this data provide convincing evidence that the proportion of customers who would call the help line when given the improved assembly instructions is less than 0.18? Explain your reasoning by comparing your value you got from question (c) to 5%.
Transcribed Image Text:12. A company that sells thousands of bicycles online maintains a telephone help line to assist customers who are assembling their bicycle. The company keeps detailed records of the percentage of customers who purchase a bicycle who call in for help. The company claims that 18% of all customers who purchase a bicycle call the help line. (a) Would it be appropriate to use a normal distribution to model the sampling distribution of p^? Support your answer with appropriate math calculations. (b) Let p^ = the proportion of customers in a sample who call the help line. Draw the sampling distribution of p for samples of size n = 100 from this population. Include all values on the x axis for plus and minus 3 standard deviations from the mean. peralat (SU ose mene spisem wildres row to 1 (r) (c) In an effort to reduce the percentage of customers who call in for help, the assembly instructions were rewritten with improved illustrations. The company selects an SRS of 100 purchasers who received the instructions with the improved illustrations. What is the probability that at most 14% of the customers in the sample call the help line? (d) The company finds that 14% of the customers in the sample called the help line. Does this data provide convincing evidence that the proportion of customers who would call the help line when given the improved assembly instructions is less than 0.18? Explain your reasoning by comparing your value you got from question (c) to 5%.
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