Ms. Berry is concerned about the average amount of food Fred, the elephant, eats each day. Zookeeper Mr. Johnson claims that the amount of food Fred eats daily is normally distributed with a population mean of 150 pounds and population standard deviation of 20 pounds. Ms. Berry takes a sample of 25 days and determines that the average amount of food Fred ate was 160 pounds.  a. Assuming Mr. Johnson is correct, what is the probability that a sample of 25 days will have Fred eating an average of 160 pounds of food or more?  b. Given your answer in part a should Ms. Berry be concerned that Fred is overeating?

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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

Cynthia is president of an international chemical distribution company, Cchem. Weekly gross sales for Cchem has a mean of $1 million and standard deviation of $0.2 million; the distribution of sales is highly right-skewed. One week’s sales are independent of the sales in any other week. Use this information to answer questions 5 to 6 below. What is the probability that sales for the week of October 5, 2009 will be more than $1.25 million? In order for Cynthia to receive a bonus, Cchem’s annual sales must exceed $53 million. What is the probability that Cynthia will receive a bonus for the fiscal year starting in 2010? Assume there are 52 weeks in a year.

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 49 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.1 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables a. More than 58 poundsb. More than 56 poundsc. Between 55 and 57 poundsd. Less than 54 poundse. Less than 48 pounds(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)a. enter the probability that the sample mean will be more than 58 poundsb. enter the probability that the sample mean will be more than 56 poundsc. enter the probability that the sample mean will be between 55 and 57 poundsd. enter the probability that the sample mean will be less than 54 poundse. enter the probability that the sample mean will be less than 48 pounds

Some sources report that the weights of full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 1.2 pounds and are Normally distributed. a. What is the probability that one newborn baby will have the mean? weight within 1.2 pounds of the mean-that is, between 7.8 and 10.2 pounds, or within one standard deviation of b. What is the probability that the average of four babies' weights will be within 1.2 pounds of the mean; will be between 7.8 and 10.2 pounds? c. Explain the difference between (a) and (b). a. The probability is: (Round to four decimal places as needed.) b. The probability is. (Round to four decimal places as needed.) c. The distribution of means is taller and than the original distribution. Therefore, the distribution of means will have narrower more observations located closer to the center of the distribution.

Beef Consumption. According to Food Consumption, Prices, and Expenditures, published by the U.S. Department of Agriculture, the mean consumption of beef per person in 2011 was 57.5 lb. A sample of 40 people taken this year yielded the data, in pounds, on last year’s beef consumption given on the WeissStats site. Use the technology of your choice to do the following. a. Obtain a normal probability plot, a boxplot, a histogram, and a stem-and-leaf diagram of the data on beef consumptions. b. Decide, at the 5% significance level, whether last year’s mean beef consumption is less than the 2011 mean of 57.5 lb. Apply the onemean t-test. c. The sample data contain four potential outliers: 0, 0, 0, and 13. Remove those four observations, repeat the hypothesis test in part (b), and compare your result with that obtained in part (b). d. Assuming that the four potential outliers are not recording errors, comment on the advisability of removing them from the sample data before performing the…

The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.Refer to Exhibit 6-5. What is the random variable in this experiment?   a. 8 ounces     b. Weight of items produced by a machine     c. Normal distribution     d. 2 ounces

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables d. Less than 55 poundse. Less than 49 pounds

Suppose that a plaque in an elevator contains the following statement: Maximum weight 3500 pounds or 18 people. What is the probability that this elevator will be overloaded given that the weight of men is normally distributed with a mean of 179.2 pounds and a standard deviation of 29.6 pounds? A. 0.3468 O B. 0.0144 O C. 0,6532 O D. 0.9856