Question

toyota would like to know how many miles per gallon the average driver gets when driving the hybrid toyota prius. a random sample of 225 drivers yields a mean of 50 mpg and a standard deviation of 7.5 mpg.estimate the population mean for the miles per gallon of the prius using a 90% confidence interval.group of answer choices50 mpg(49.1775 mpg, 50.8225 mpg)(0.12, 0.32)(49.94517 mpg, 50.05483 mpg)

Answer 1

The population mean for the miles per gallon of the Prius can be estimated with a 90% confidence interval.

Step-by-step explanation:

To estimate the population mean for the miles per gallon of the Prius using a 90% confidence interval, we can use the formula:

Confidence interval = sample mean ± (critical value × standard deviation / √sample size)

First, we need to find the critical value for a 90% confidence interval. Since the sample size is large (225 drivers), we can use the Z-score table or a calculator to find the critical value. For a 90% confidence interval, the critical value is approximately 1.645.

Next, we can calculate the confidence interval:

Confidence interval = 50 ± (1.645 × 7.5 / √225)

Confidence interval = (49.1775, 50.8225)

Therefore, the population mean for the miles per gallon of the Prius can be estimated to be between 49.1775 and 50.8225 with 90% confidence.