Recent Environmental Protection Agency (EPA) fuel economy estimates for automobile models tested predicted a mean of 24.8 mpg and a standard deviation of 6.2 mpg for highway driving. Assume the data is normally distributed. If Cash for Clunkers had targeted the cars with the lowest 8 % mpg what would the cutoff be? about 16 mpg less than 1% about 33 mpg about 42%

Find the mode, mean, and standard deviation of the following data: 3, 2, 3, 4, 6

The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.27° F. What temperature represents the 95th percentile? Click to view page 1 of the table. Click to view page 2 of the table. OA. 99.04° F OB. 98.95° F OC. 98.16° F O D. 99.13° F C

Choose the correct option and explain.

The mean Math ACT score was 20.5, with a standard deviation of 5.5. Sarah scored a 26 on the Math ACT. According to the empirical rule, what percent of students taking the Math ACT scored higher than Sarah? O 5.5% O 16% O 84% O 2.5%

Suppose you are asked to toss a coin 16 times and calculate the proportion of the tosses that were heads. a.    What shape would you expect this histogram to be and why? b.    Where you do expect the histogram to be centered? c.    How much variability would you expect among these proportions? d.    Explain why a Normal model should not be used here.

In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a number of high outliers, mainly hybrid gas-electric vehicles. If we ignore the vehicles identified as outliers, however, the combined city and highway gas mileage of the other 1146 vehicles is approximately Normal with mean 23.0 miles per gallon (mpg) and standard deviation 4.9 mpg. Exercises 3.35 through 3.38 concern this distribution 3.37: The middle half. The quartiles of any distribution are the values with cumulative proportions 0.25 and 0.75. They span the middle half of the distribution. What are the quartiles of the distribution of gas mileage?

Heights of women are normally distributed with mean 63.7 inches and standard deviation 2.47 inches.a. Find the height that is the 10th percentile.b. Find the three quartiles for the height of the women.

As reported in Runner's World magazine, the times of the finishers in the New York City 10- km run are normally distributed with mean 61 minutes and standard deviation 9 minutes. The 75th percentile for the finishing times is 67 minutes. What is the interpretation of this value?

The typical amount of sleep per night for college graduate students has a normal distribution with a mean of 5 hours. What is the standard deviation of this distribution if ​16% of students sleep more than 6.5​ hours?   A. ​-1.52   B. ​-1.55   C. 1.52   D. 1.55