Suppose the average annual consumption of milk in Zambia is 23.4 gallons per person with a standard deviation of 7.1 gallons per person. (i) If a random sample of 40 Zambians is selected, what is the probability that their average milk consumption is less than 25 gallons per person annually? (ii) If a random sample of 40 Zambian citizens is selected, what is the probability that their average milk consumption is between 21 and 22 gallons of milk per person annually? (iii) If a random sample of 60 Zambian citizens is selected, what is the probability that their average milk consumption is more than 23 gallons of milk per person annually?

Suppose the average annual consumption of milk in Zambia is 23.4 gallons per person with a standard deviation of 7.1 gallons per person. (i) If a random sample of 40 Zambians is selected, what is the probability that their average milk consumption is less than 25 gallons per person annually? (ii) If a random sample of 40 Zambian citizens is selected, what is the probability that their average milk consumption is between 21 and 22 gallons of milk per person annually? (iii) If a random sample of 60 Zambian citizens is selected, what is the probability that their average milk consumption is more than 23 gallons of milk per person annually?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks) for 2005 was 21 miles per gallon (mpg). If the standard deviation of the population was 2.8 and the gas ratings were normally distributed, (a) what is the probability that the mean mpg for a random sample of 25 light vehicles is under 18? (b) between 20 and 24?
The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.75 pounds with a standard deviation of 1.02 pounds. In a recent study, a group of 60 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.9 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 60 individuals will be 1.9 pounds or less? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
4. Manufacturer A's television picture tubes have a mean lifespan of 7.3 years and a standard deviation of 0.57 years; while those of manufacturer B have a mean duration of 6.39 years and a standard deviation of 0.42 years. What is the probability that a random sample of 39 kinescopes from manufacturer A will have a mean lifespan that is 1 year less than the mean lifespan in a sample of 43 kinescopes from manufacturer B? Round your answer to four decimal places after the period.
You are interested in studying the average gestational length of pregnancies among African American women in the United States to see if it is different from the rest of the US population. The population mean for gestational length is 39 weeks with a standard deviation of 2 weeks. You take a simple random sample of 22 African American women that gave birth in the last year and find that their mean gestational length is is 38.5 weeks. If you decide to conduct a two-sided test with α = .05. What is the power of this test?
An automobile battery manufacturer claims that its mid grade battery has a mean life of 50 months with a standard deviation of 6 months Suppose the distribution of battery lives of this particular brand is approximately normal. Find the probability that the mean of a random sample of 36 such batteries will be less than 48 months. Is the assumption of the manufacturers' claims true? Why?
The manager of a restaurant believes that waiters and waitresses who introduce themselves by telling customers their names will get larger tips than those who don't. In fact, she claims that the average tip for the former group is 17% while that of the latter is only 12%. If tips are normally distributed with a standard deviation of 9%. what is the probability that in a random sample of 13 tips recorded from waiters and waitresses who introduce themselves and 13 tips from waiters and waitresses who don't, the mean of the former will exceed that of the latter? Probability =
A manufacturer knows that their items have a normally distributed length, with a mean of 16.1 inches, and standard deviation of 5.2 inches.If 22 items are chosen at random, what is the probability that their mean length is less than 13.4 inches?
A manufacturer knows that their items have a normally distributed length, with a mean of 6.7 inches, and standard deviation of 2.1 inches.If 21 items are chosen at random, what is the probability that their mean length is less than 6.9 inches?
A report on egg consumption shows that people living in China eat an average of 196 eggs each year with a standard deviation of 18.3 eggs. If a group of 81 Chinese people are selected at random, what is the probability that the average egg consumption of this group will be more than 200 eggs?