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An automobile club comes to the aid of stranded motorists who are members. Over the long run, about 5% of the members utilize this service in any 12-month period. A small town has 400 members of the club. Consider the 400 members to be representative of the larger club membership. Let P^ be the proportion of them who will utilize the service in the coming 12-month period.
a. Explain how Conditions 1 to 3 (p. 325) for the approximate normality of the sampling distribution for a sample proportion are met in this scenario. State any assumptions that you need to make to do so.
b. What are the values of n and p in this situation?
c. Describe the sampling distribution of P^, including values for the mean and standard deviation.
d. The towing service in town contracts with the club to come to the aid of up to 28 members in the next 12-month period. What proportion is that of the 400 members in town? What is the approximate probability that the actual proportion requiring aid will exceed that value?
Find out the estimate of the population mean.The mean daily sales at the Stop and Go are $20,000 for a sample of 40 days. The standard deviation of the sample is $3,000.
scores on a standardized test are normally distributed with a mean of 100 and a standard deviation of 12. an
suppose 60 of american adults believe martha stewart is guilty of obstruction of justice and fraud related to insider
Past studies indicate that only 85% of booked passengers show up for their flight. Find the probability that if the airline books 150 persons for a 140-seat plane, not enough seats will be available.
Indicate with Yes or No whether the given statement could apply to a data set consisting of 1,000 values that are all different. a. The 29th percentile is greater than the 30th percentile.
What is the shape of the theoretical sampling distribution of the mean for samples of (a) 10 if the parent population is normal? (b) 50 if the parent population is not normal?
The national median sales price for new single-family homes is $230,000 (The Associated Press, March 25, 2006). Assume that the following data were obtained for sales of existing single-family homes in Houston and Boston.
If a woman gets a SAT score that is the 67th percentile, find her actual SAT score and her equivalent ACT score. If a woman gets a SAT score of 1220, find her equivalent ACT score.
What is the mean number of streaked-shelled snails and what is the standard deviation of the number of streaked-shelled snails?
A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability that the sample mean is Between 74 and 76.
The sample results are given below. At the 0.10 significance level, test the claim that response and major are independent.
Assume the population proportion is p = .25. What is the probability that the sample proportion will be within +/- .03 of the population proportion if a sample of size 1,000 is selected (to 4 decimals)?
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