Question

The combined city/highway fuel economy of a 2016 Toyota 4Runner 2WD 6-cylinder 4-L automatic 5-speed using regular gas is a normally distributed random variable with a range 22 mpg to 25 mpg.

**(a)** Estimate the standard deviation using Method 3 (the Empirical Rule for a normal distribution) from Table 8.11. **(Round your answer to 4 decimal places.)**

Standard deviation _________

**(b)** What sample size is needed to estimate the mean with 98 percent confidence and an error of ± 0.25 mpg? **(Enter your answer as a whole number (no decimals). Use a z-value taken to 3 decimal places in your calculations.)**

Sample size _________

Step 1

Given Data

Range from 22 mpg to 25 mpg

a = 22 mpg

b = 25 mpg

a) Standard Deviation using method 3 for normal distribution is calculated as

Step 2

b)

Estimation of sample size...

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