Exam 8: Sampling Distributions and Estimation

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If a normal population has parameters μ = 40 and σ = 8, then for a sample size n = 4:

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A company wants to estimate the time its trucks take to drive from city A to cityB. The standard deviation is known to be 12 minutes. What sample size is required in order that the error will not exceed ±2 minutes, with 95 percent confidence?

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For a sample of size 16, the critical values of chi-square for a 95 percent confidence interval for the population variance are:

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As the sample size increases, the standard error of the mean:

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A financial institution wishes to estimate the mean balances owed by its credit card customers. The population standard deviation is $300. If a 99 percent confidence interval is used and an interval of ± $75 is desired, how many cardholders should be sampled?

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The confidence level refers to the procedure used to construct the confidence interval, rather than to the particular confidence interval we have constructed.

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