Directions: Answer each question fully-show all work and include appropriate int

Question

Directions: Answer each question fully-show all work and include appropriate interpretation and units Question: One of the reasons that many people buy a Toyotay Corolla is for the gas mileage. We would like to look at how many miles per gallon one would get for a Toyota Corolla on the 12 highway. A random sample of Toyota Corollas was taken and driven for 300 miles on the highway. For each Corolla we recorded the miles per gallon it got (MPG), type of gasoline used (premium or regular), and the specific model (LE, S, Splus etc). Use the histogram and summary statistics provided to help you answer the questions. Construct a 98% confidence interval for the parameter of interest. Be sure to show all steps! (7 points) a. 30 35 Column n Mean Std. dev. Median Min Max 147 34.13 | 2.83 | 34.7 27.1 | 38.9 MORE ON BACK!

Explanation / Answer

A) At 98% confidence interval the critical value is Z* = 2.33

Confidence interval is

Mean +/- Z* * SD/sqrt (n)

= 34.13 +/- 2.33 * 2.83/sqrt (47)

= 34.13 +/- 0.96

= 33.17, 35.09

B) The mean 35 lies between the confidence interval values.

C) At 95% confidence interval the critical value is 1.96

margin of error = 0.7

Or, Z* * SD/sqrt (n) = 0.7

Or, 1.96 * 2.83/sqrt (n) = 0.7

Or, sqrt(n) = 7.924

Or, n = 62.79 = 63

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