construct a 95% confidence interval estimate for the population mean MPG of 2010 family sedans, assuming a normal distribution.

Necessary data missing. Mean? SD? Number in sample?

95% = mean ± 1.96 SEm

SEm = SD/√n

To construct a 95% confidence interval estimate for the population mean MPG of 2010 family sedans, you would need a sample of MPG data from 2010 family sedans.

Here are the steps to calculate the confidence interval:

1. Gather a representative sample: Obtain a random sample of 2010 family sedans and record their MPG (miles per gallon) values. Make sure the sample is large enough for the Central Limit Theorem to apply.

2. Calculate sample statistics: Calculate the sample mean (x̄) and sample standard deviation (s) of the MPG values. These statistics will be used to estimate the population mean and determine the precision of the estimate.

3. Determine the critical value: To construct a 95% confidence interval, you need to find the critical value corresponding to a 95% confidence level. The critical value depends on the sample size and the desired confidence level.

4. Calculate the margin of error: The margin of error represents the range of values within which the population mean is likely to be. It is calculated by multiplying the critical value by the standard deviation of the sample mean.

Margin of error = (critical value) * (standard deviation / sqrt(sample size))

5. Calculate the confidence interval: Finally, you can calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error to the sample mean (x̄).

Confidence interval = (x̄ - margin of error, x̄ + margin of error)

By following these steps, you will obtain a 95% confidence interval estimate for the population mean MPG of 2010 family sedans.