Calculus and Above

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I calculated the sample mean...

I calculated the sample mean for 12 randomly selected high school seniors’ test scores. The mean was 908.3 and the sample standard deviation was 305.4. Can you construct a 99% confidence interval for the population mean?

Round to one decimal place as needed.

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28% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive.

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A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.05 in.

(a) Determine the minimum sample size required to construct a 99% confidence interval for the population mean. Assume the population standard deviation is .20 in.

(b) Repeat part (a) using a standard deviation of .30 in. Which standard deviation requires a larger sample size?

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A population standard deviation of (.2/.3) in. requires a larger sample size. Due to the increased variability in the population, (smaller/larger) sample size is needed for desired accuracy.

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