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Researchers obtained a random sample of 104 social robots through a Web search and determined the number that were designed with legs, but no wheels.
Researchers obtained a random sample of 104 social robots through a Web search and determined the number that were designed with legs, but no wheels. Let p represent the sample proportion of social robots designed with legs, but no wheels. Assume that in the population of all social robots, 42% are designed with legs, but no wheels. Complete parts a through d below. a. Give the mean and standard deviation of the sampling distribution of p. The mean is 0.42 (Round to four decimal places as needed.) The standard deviation is 0.04840 . (Round to four decimal places as needed.) b. Describe the shape of the sampling distribution of p. Choose the correct answer below. A. The sampling distribution is approximately normal. O B. The sampling distribution is exactly normal. O C. The sampling distribution is bimodal. O D. The sampling distribution is skewed right. O E. There is not enough information given to determine the shape of the sampling distribution. OF. The sampling distribution is uniform. O G. The sampling distribution is skewed left. c. Find P (p > 0.62) P(p > 0.62) = (Round to four decimal places as needed.)
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