An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150   lb and 201   lb. The new population of pilots has normally distributed weights with a mean of 158 lb   and a standard deviation of 27.7 lb   a. If a pilot is randomly​ selected, find the probability that his weight is between 150 lb and 201 lb.

Frito Lay did a study on the weights of their bags of corn chips. It was found that the weight is normally distributed with a mean of 22 oz. and standard deviation of 0.90 oz. If a sample of 35 bags are randomly selected, find the probability that their sample mean is less than 21.5 ounces.

A concierge is interested in how long it takes to bring passengers to the airport and then return to the hotel. The round-trip travel times for six taxi drivers were: 3,3,2,8,4,4 minutes. a. Compute the mean, variance, and standard deviation. Label them clearly. SHOW ALL CALCULATIONS/WORK! b. Explain what you have done and what the results mean to a person who has never had a course in statistics.

Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.

A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby girls is approximately normally distributed. A study claimed that the mean of this population is 5.94 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 15 baby girls, and you record the weight each gained in their first year. Follow the steps below to construct a 95% confidence interval for the population mean of all the weight gains for baby girls in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: 0 Point estimate: 0 Sample standard deviation: 10 Critical value: 0 Number of baby girls Compute 15 Enter the values of the sample size, the point estimate of the mean, the sample standard…

If the gondola is filled with 25 randomly selected​ skiers, what is the probability that their mean weight exceeds 140 lbs. The mean is 180 lbs and standard deviation is 44 lbs

One brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’ recommendations. One brand of baby bathtub comes with a dial to set the water temperature. When the “babysafe” setting is selected and the tub is filled, the temperature X of the water follows a Normal distribution with a mean of 93.2°F and a standard deviation of 3.6°F. According to pediatricians, the temperature of a baby’s bathwater should be between 90°F and 100°F. Find the probability that the water temperature on a randomly selected day when the “babysafe” setting is used meets pediatricians’…

Sadie deals 5 cards from a standard deck of 52 cards. She would like to deal as many spades as possible. Is it reasonable to approximate this distribution with a normal distribution? Give a reason.

A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 4.93 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 16 baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Sample standard Number of baby boys Sample mean deviation Take Sample 16 5.496 1.873 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for…

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 129 lb and a standard deviation of 27.3 lb.   If a pilot is randomly​ selected, find the probability that his weight is between 120 lb and 181 lb. The probability is approximately nothing