21.True or False: The difference between the sample mean and the population mean is called the sampling error.

22.True or False: The difference between the sample proportion and the population proportion is called the sampling error.

23.True or False: The difference between the sample size and the population size is called the sampling error.

24.True or False: The confidence interval estimate of the population mean is constructed around the sample mean.

25.A 99% confidence interval estimate can be interpreted to mean that

a)if all possible samples of size *n* are taken and confidence interval estimates are developed, 99% of them would include the true population mean somewhere within their interval.

b)we have 99% confidence that we have selected a sample whose interval does include the population mean.

c)Both of the above.

d)None of the above.

26.An economist is interested in studying the incomes of consumers in a particular country. The population standard deviation is known to be $1,000. A random sample of 50 individuals resulted in a mean income of $15,000. What is the upper end point in a 99% confidence interval for the average income?

a)$15,052

b)$15,141

c)$15,330

d)$15,364

27.An economist is interested in studying the incomes of consumers in a particular country. The population standard deviation is known to be $1,000. A random sample of 50 individuals resulted in a mean income of $15,000. What is the width of the 90% confidence interval?

a)$232.60

b)$364.30

c)$465.23

d)$728.60

28.True or False: Given a sample mean of 2.1 and a population standard deviation of 0.7 from a sample of 10 data points, a 90% confidence interval will have a width of 2.36.

29.True or False: A sample size of 5 provides a sample mean of 9.6. If the population variance is known to be 5 and the population distribution is assumed to be normal, the lower limit for a 90% confidence interval is 7.96.

30.The *t* distribution approaches the standardized normal distribution when the number of degrees of freedom increases.

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