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Many college students enjoy eating pizza, but college is expensive, so it is imp

ID: 3370099 • Letter: M

Question

Many college students enjoy eating pizza, but college is expensive, so it is important to get a good deal on the pizza you eat. A very savvy statistics student investigated the cost per square inch for a random sample of 5 pizza shops. The student looked up the prices online and found that for a delivered large 1-topping pizza, the price per square inch fluctuated considerably. Here are the results. The mean cost per square inch was 0.18 with a sample standard deviation of 0.0332. Based upon these sample data, we can be 95% confident that the true mean price per square inch for a large 1-topping pizza is between the lower value of _____________and the upper value of ________________.

Explanation / Answer

The formula for estimation is:

? = M ± t(sM)

where:

M = sample mean
t = t statistic determined by confidence level
sM = standard error = ?(s2/n)

M = 0.18
t = 2.78
sM = ?(0.03322/5) = 0.01

? = M ± t(sM)
? = 0.18 ± 2.78*0.01
? = 0.18 ± 0.0412

0.1388, 0.2212

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