A vending machine dispenses coffee into aneight-ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.06 ounce. You can allow the cup to overfill 3% of the time. What amount should you set as the mean amount of coffee to bedispensed?

A population has a mean =88 and a standard deviation =27. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=81.

The graph of the waiting time(in seconds) at a red light is shown below on the left with its mean and standard deviation. Assume that a sample size of 100 is drawn from the population. Decide which of the graphs labeled(a)-(c) would most closely resemble the sampling distribution of the sample means. Explain your reasoning.

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.

For a sample of n=75, find the probability of a sample mean being greater than 220 if =219 and =6.1.

The heights of fully grown trees of a specific species are normallydistributed, with a mean of 56.5 feet and a standard deviation of 5.25 feet. Random samples of size 15 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.

Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution.

The per capita consumption of red meat by people in a country in a recent year was normallydistributed, with a mean of 103 pounds and a standard deviation of 39.4 pounds. Random samples of size 15 are drawn from this population and the mean of each sample is determined.

Find the probability and interpret the results. Ifconvenient, use technology to find the probability. During a certain week the mean price of gasoline was $2.711 per gallon. A random sample of 36 gas stations is drawn from this population. What is the probability that the mean price for the sample was between $2.697 and $2.733 thatweek? Assume =$0.049.

The mean height of women in a country(ages 2029) is 63.6 inches. A random sample of 70 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume =2.64.

The height of women ages20-29 is normallydistributed, with a mean of 63.8 inches. Assume =2.3 inches. Are you more likely to randomly select 1 woman with a height less than 65 inches or are you more likely to select a sample of 19 women with a mean height less than 65 inches? Explain.

The sample sizen, probability of successp, and probability of failure q are given for a binomial experiment. Decide whether you can use the normal distribution to approximate the random variable x.

n=15

p=0.62

q=0.38

A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If youcan, find the mean and standard deviation. If youcannot, explain why.

A survey of adults found that 48% have used a multivitamin in the past 12 months. You randomly select 50 adults and ask them if they have used a multivitamin in the past 12 months.

Decide whether you can use the normal distribution to approximate the binomial distribution. If youcan, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If youcannot, explain why and use the binomial distribution to find the indicated probabilities.

A survey of adults found that 65% of those who text on cell phones receive spam or unwanted messages. You randomly select 100 adults who text on cell phones. Complete parts(a) through(d).

A drug tester claims that a drug cures a rare skin disease 74% of the time. The claim is checked by testing the drug on 100 patients. If at least 69 patients arecured, the claim will be accepted.

Find the probability that the claim will be rejected assuming that themanufacturer's claim is true. Use the normal distribution to approximate the binomial distribution if possible.