The number of potholes in any given 10 mile stretch of freeway pavement is normally distributed. This distribution has a mean of 23 potholes and a standard deviation of 3 potholes. Use the Empirical Rule and a sketch of the normal distribution in order to answer these questions. a) 95% of the number of potholes in any given 10 mile stretch of freeway pavement lie between and b) What percentage of the number of potholes in any given 10 mile stretch of freeway pavement lie between 20 and 29 ounces? % c) What percentage of the number of potholes in any given 10 mile stretch of freeway pavement lie above 14? %

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 ​adults, how many consume at least 320 mg of caffeine​ daily?

For a certain type of computers, the length of time between charges of the battery is normally distributed with a mean of 62 hours and a standard deviation of 11 hours. John owns one of these computers and wants to know the number of hours when the computer would have 12%  of its battery life left. Sketch the region in question. Write a sentence describing what your answer represents about the problem's specefics.

Suppose that blood chlorine concentration (mmol/L) has a normal distribution with mean=98 and standard deviation=7. For a sample of n=40, what is the corresponding mean and standard deviation of the sampling distribution?

The distribution of the student heights at a large college is approximately bell shaped. If the mean height is 66 inches,and approximately 95% of the heights fall between 32 and 100 inches, then, the standard deviation of the heightdistribution is approximately equal to

Maddie has two different routes that she can take to get to school. The first route is a longer distance, but has no traffic lights. The second route is a shorter distance, but has a lot of traffic lights. The amount of time it takes to get to school by the "longer distance" route follows a Normal distribution with mean 20 minutes and standard deviation o = 1.5 mirutes. The amount of time it takes to get to school by the "shorter distance" route follows a Normal distribution with mean =17 minutes and standard deviation a = 6.5 minutes. Suppose we select independent random samples of 20 days for each route. Let XL-Xs be the đifference in the sample mean travel time for the two routes %3D %3D (a) Calculate the probability that the sample mean time for the longer distance is shorter than the sample mean time for the shorter distance. (b) Should we be surprised if the sample mean time for the longer distance is shorter than the sample mean time for the shorter distance?

In​ 2011, the mean property crime rate​ (per 100,000​ people) for 10 northeastern regions of a certain country was 2367. The standard deviation was 394. Assume the distribution of crime rates is unimodal and symmetric. What percentage of northeastern regions would you expect to have property crime rates between 1973 and 2761.

he annual per capita consumption of fresh bananas (in pounds) in the United States can be approximiated by the normal distribution, with a mean of 8.7 pounds and a standard deviation of 1 pound. Answer the following questions about the specified normal distribution. a) What is the smallest annual per capita consumption of bananas that can be in the top 10% of consumptions? b) What is the largest annual per capita consumption of bananas that can be in the bottom 5% of consumption? Click to view page 1 of the Standard Normal Table. Click to view page 2 of the Standard Normal Table a) The smallest annual per captita consumption of bananas that can be in the top 10% of consulmptions is Round to one decimal place as needed.) pounds. ) The largest annual per capita consumption of bananas that can be in the bottom 5% of consumptions is Round to one decimal place as needed.) pounds.

The weights of people in a certain population are normally distributed with a mean of 159 lb and a standard deviation of 24 lb. Determine the sampling distribution of the mean for samples of size 5.