A survey of 250 lobster fishermen found that they catch an average of 32.0 pounds of lobster per day with a standard deviation of 4.0 pounds. If a random sample of 36 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds?

A market researcher analyzes how many cases of bottled water a customer buys at a grocery store. The distribution has a mean of 3.0 and standard deviation of 0.7. Assuming a random sample of 400 customers, what is the probability that the total cases of bottled water purchased is less than 1,186?

Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is greater than 82 mm?

Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average (mean) of 32 grams of fat per pound, with a standard deviation of 8 grams of fat per pound. A random sample of 40 farm-raised trout is selected. The mean fat content for the sample is 30.2 grams per pound. Find the probability of observing a sample mean of 30.2 grams of fat per pound or less in a random sample of 40 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. Check esc 23 2$ 5 2 e r t y tab

The time that a shopper spends in the grocery store is normally distributed, with a mean of 45 minutes and a standard deviation of 12 minutes. For a sample of 40 shoppers, what is the probability that the mean time spent in the grocery store is more than 47 minutes?

According to one study, the amount of time a customer spends shopping in a grocery store is normally distributed with a mean of 45 minutes and a standard deviation of 12 minutes. Choose one:     The amount of time a customer spends shopping is a discrete random variable.     The amount of time a customer spends shopping is a continuous random variable.

Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a research pysician you are randomly assigned 100 patients. What is the probability that the average blood pressure for your sample of 100 patients is less than 84 mm?

The MPG (miles per gallon) for a certain compact car is normally distributed with a mean of 30 and a standard deviation of 1. What is the probability that the MPG for a randomly selected compact car would be less than 28?

Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average (mean) of 32 grams of fat per pound, with a standard deviation of 8 grams of fat per pound. A random sample of 34 farm-raised trout is selected. The mean fat content for the sample is 31.8 grams per pound.   Find the probability of observing a sample mean of 31.8 grams of fat per pound or less in a random sample of 34 farm-raised trout.Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

The diameter of a brand of tennis balls is approximately normally distributed with a mean of 2.5 inches and a standard deviation of 0.5 inches.  A random sample of 50 ping-pong balls is selected.    What is the probability that the sample mean will be between 2.4 and 2.6 inches?