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Exam 7: Sampling and Sampling Distributions

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Question 71

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A sample of 66 observations will be taken from an infinite population. The population proportion equals 0.12. The probability that the sample proportion will be less than 0.1768 is

A) 0.0568
B) 0.0778
C) 0.4222
D) 0.9222

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Question 72

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The sample statistic s is the point estimator of

A) $\mu$
B) $\sigma$
C) $\bar{x}$
D) $\overline{\mathrm{p}}$

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Question 73

Multiple Choice

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A subset of a population selected to represent the population is

A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within 2 of the population mean?

The standard deviation of all possible values is called the

A department store has determined that 25% of all their sales are credit sales. A random sample of 60 sales is selected. a.What is the sampling distribution of? b.What is the probability that the sample proportion will be greater than 0.30? c.What is the probability that the sample proportion will be between 0.20 to 0.30?

Michael is running for president. The proportion of voters who favor Michael is 0.8. A simple random sample of 100 voters is taken. a.What are the expected value, standard deviation, and shape of the sampling distribution of? b.What is the probability that the number of voters in the sample who will not favor Michael will be between 26 and 30? c.What is the probability that the number of voters in the sample who will not favor Michael will be more than 16?

The following data was collected from a simple random sample of a population. The mean of the population

A random sample of nine telephone calls in an office provided the following information. a.Determine the point estimate for the average duration of all calls. b.What is the point estimate for the standard deviation of the population? c.Determine the standard error of the mean. d.What is the point estimate for the proportion of all calls that were long distance? e. Determine the standard error of proportion.

A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the sample mean will be larger than 82 is

The following data was collected from a simple random sample of a population. The point estimate of the population standard deviation is