Suppose the mean per-person check for brunch at a restaurant chain is approximately $16.50. Complete parts...

 

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Suppose the mean per-person check for brunch at a restaurant chain is approximately $16.50. Complete parts (a) through (d) below. a. Assuming a standard deviation of $4.00, what sample size is needed to estimate, with 99% confidence, the mean per-person check for brunch to within + $0.75? The sample size needed is (Round up to the nearest integer.) b. Assuming a standard deviation of $4.50, what sample size is needed to estimate, with 99% confidence, the mean per-person check for brunch to within + $0.75? The sample size needed is (Round up to the nearest integer.) c. Assuming a standard deviation of $5.00, what sample size is needed to estimate, with 99% confidence, the mean per-person check for brunch to within + $0.75? The sample size needed is (Round up to the nearest integer.) d. Discuss the effect of variation on the sample size needed. For the same level of confidence and sampling error, how are variation and sample size needed related? O A. Populations with greater variability require smaller samples to estimate the mean. O B. There is no relation between variation and sample size needed. OC. Populations with greater variability require larger samples to estimate the mean. Suppose the mean per-person check for brunch at a restaurant chain is approximately $16.50. Complete parts (a) through (d) below. a. Assuming a standard deviation of $4.00, what sample size is needed to estimate, with 99% confidence, the mean per-person check for brunch to within + $0.75? The sample size needed is (Round up to the nearest integer.) b. Assuming a standard deviation of $4.50, what sample size is needed to estimate, with 99% confidence, the mean per-person check for brunch to within + $0.75? The sample size needed is (Round up to the nearest integer.) c. Assuming a standard deviation of $5.00, what sample size is needed to estimate, with 99% confidence, the mean per-person check for brunch to within + $0.75? The sample size needed is (Round up to the nearest integer.) d. Discuss the effect of variation on the sample size needed. For the same level of confidence and sampling error, how are variation and sample size needed related? O A. Populations with greater variability require smaller samples to estimate the mean. O B. There is no relation between variation and sample size needed. OC. Populations with greater variability require larger samples to estimate the mean.

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