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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. Let p = the proportion of customers in a sample who call the help line. Calculate the mean and standard deviation of the sampling distribution of p for random samples of size 150 from this population. b. Interpret the standard deviation from part (a). c. Would it be appropriate to use a normal distribution to model the sampling distribution of p? Justify your answer.

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. Let p = the proportion of customers in a sample who call the help line. Calculate the mean and standard deviation of the sampling distribution of p for random samples of size 150 from this population. b. Interpret the standard deviation from part (a). c. Would it be appropriate to use a normal distribution to model the sampling distribution of p? Justify your answer.

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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2. 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. Let the proportion of customers in a sample who call the help line. Calculate the mean and standard deviation of the sampling distribution of p for random samples of size 150 from this population. b. Interpret the standard deviation from part (a). c. Would it be appropriate to use a normal distribution to model the sampling distr ution of p? Justify your answer. d. In an effort to reduce costs, the assembly instructions were rewritten with fewer pages. The company selects an SRS of 150 purchasers who received the new instructions. What is the probability that at least 25% of the customers in the sample call the help line? e. The company finds that 25% of the customers in the sample called the help line. Based on your answer to part (d), do these data provide convincing evidence that the proportion of customers who would call the help line when given the new assembly instructions has increased from 0.18 Explain your reasoning.
Transcribed Image Text:2. 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. Let the proportion of customers in a sample who call the help line. Calculate the mean and standard deviation of the sampling distribution of p for random samples of size 150 from this population. b. Interpret the standard deviation from part (a). c. Would it be appropriate to use a normal distribution to model the sampling distr ution of p? Justify your answer. d. In an effort to reduce costs, the assembly instructions were rewritten with fewer pages. The company selects an SRS of 150 purchasers who received the new instructions. What is the probability that at least 25% of the customers in the sample call the help line? e. The company finds that 25% of the customers in the sample called the help line. Based on your answer to part (d), do these data provide convincing evidence that the proportion of customers who would call the help line when given the new assembly instructions has increased from 0.18 Explain your reasoning.
Expert Solution
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Given that

n=150, p=18%=0.18, q=1-0.18=0.82

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