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Course 39045

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Suppose that scores for men on an aptitude test have greater variability than scores for women on the same test. In other words, the population standard deviation is greater for the population of men than for the population of women.

Based on a sample of size 50, a 95% confidence interval for the mean score, μ, of all women has a margin of error of 2.2.

Which of the following confidence intervals will have a margin of error smaller than this 2.2?

A.  99% confidence interval for a sample size = 50

B.  95% confidence interval for a sample size = 100

C.  95% confidence interval for a sample size = 50

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A random sample of 40 adults had a sample mean height of 168 cms with a sample standard deviation of 10 cms. The standard error (from the standard deviation of the sampling distribution) of the sample mean height, correct to one decimal place, is

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Interpret the confidence interval.

A credit union took a random sample of 40 accounts and yielded the following 90% confidence interval for the mean checking account balance at the institution:

$2183 < μ(balance) < $3828.

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To calculate a 99% confidence interval for a mean, from a sample of 15 data values, the required t-multiplier, correct to three decimal places, would be

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