Question

In: Statistics and Probability

The average American consumed 10.6 pounds of mozzarella cheese in 2009 (U.S. Department of Agriculture, February...

The average American consumed 10.6 pounds of mozzarella cheese in 2009 (U.S. Department of Agriculture, February 20, 2012). Do male and female consumers differ in the amounts of mozzarella cheese they consume? The average consumption in a survey of 50 male consumers was 13.1 pounds, and the average consumption in a survey of 35 female consumers was 8.6 pounds. What is the point estimate of the difference between the population mean consumption for males and the population mean consumption for females?

Select one:

a. 4.5

b. 2.22

c. 2.89

d. 3.75

Expert Solution

The average American consumed 10.6 pounds of Mozzarella cheese in 2009.

The average consumption in a survey of 50 male consumers was 13.1 pounds.

The average consumption in a survey of 35 female customers was 8.6 pounds.

We have to find the point estimate of the difference between the population mean consumption for males and the population mean consumption for females.

So, basically we have to find the point estimate for

when

is given.

Now, we know that

We use as the point estimate of .

So, the point estimate of

is .

So, the point estimate is

So, the answer is option (a) 4.5.

orchestra answered 2 years ago

Suppose the average American eats about 31 pounds of cheese per year with a standard deviation...

Suppose the average American eats about 31 pounds of cheese per year with a standard deviation of 7.75 pounds. Find the probability that a sample of 32 Americans will eat between 28 and 35 pounds of cheese. Include a sketch.

According to the U.S. Department of Labor, the average American household spends $639 on household supplies...

According to the U.S. Department of Labor, the average American household spends $639 on household supplies per year. Suppose annual expenditures on household supplies per household are uniformly distributed between the values of $263 and $1,015. (a) What is the standard deviation of this distribution? (b) What is the height of this distribution? (c) What proportion of households spend more than $880 per year on household supplies? (d) What proportion of households spend more than $1,260 per year on household...

The U.S. Department of Agriculture defines a food desert as a census tract in which a...

The U.S. Department of Agriculture defines a food desert as a census tract in which a sizable percentage of the tract's population resides a long distance from the nearest supermarket or large grocery store. Below are fabricated data for ten census tracts. The independent variable is percent low-income residents, the dependent variable is the distance (in miles) between each tract and the nearest grocery store. The hypothesis: In a comparison of census tracts, those with higher percentages of low-income residents...

The U.S. Department of Agriculture claims that the mean consumption of bottled water by a person...

The U.S. Department of Agriculture claims that the mean consumption of bottled water by a person in the United States is 28.5 gallons per year. A random sample of 100 people in the United States has a mean bottled water consumption of 27.8 gallons per year with a standard deviation of 4.1 gallons. At α = 0.08, can you reject the claim? Please show all work!!

The Economic Research Service of the U.S. Department of Agriculture has reported the results of a...

The Economic Research Service of the U.S. Department of Agriculture has reported the results of a study of the effects of the price of various types of oranges on the quantity demanded of the oranges. The oranges are sold in perfectly competitive markets. In particular, three types of oranges were studied: 1) Florida Valencia, 2) California Navel, and 3) California Blood Orange. In nine test stores in Grand Rapids, Michigan, the researchers varied the price of each of these types...

The U.S. Department of Agriculture is interested in analyzing the domestic market for soybean. The USDA’s...

The U.S. Department of Agriculture is interested in analyzing the domestic market for soybean. The USDA’s staff economists estimate the following equations for the demand and supply curves: The demand curve of soybean is P = 700 - 2Qd, and the supply curve of soybean is: P = 200 + 3Qs where P represents price of soybean in dollars per bushel and Q represents quantity of soybean in bushels 1.Calculate the price elasticity of demand at the following prices: P...

1) A U.S. Department of Agriculture study of the demand for food products showed that the...

1) A U.S. Department of Agriculture study of the demand for food products showed that the price elasticity of demand for potatoes is -0.42; the elasticity of demand for potatoes with respect to the price of tomatoes is 0.09; and the income elasticity of demand for potatoes is 0.10. a. If consumer incomes rise by 10%, by what percentage will the quantity of potatoes demanded change? Will it rise or fall? Show your work. b. If consumer incomes rise by...

Chocolate consumption A study conducted by Hershey’s discovered that Americans consumed an average of 11.3 pounds...

Chocolate consumption A study conducted by Hershey’s discovered that Americans consumed an average of 11.3 pounds of chocolate pre year. Let’s assume that the annual chocolate consumption follows a normal distribution with a standard deviation of 3.7 pounds. What is the probability of that an American will consume: (a) Less than 7 pounds of chocolate next year (b) More than 9 pounds of chocolate next year (c) Between 8 and 12 pounds of chocolate next year (d) Exactly 10 pounds...

A study discovered that Americans consumed an average of 11.1 pounds of chocolate per year. Assume...

A study discovered that Americans consumed an average of 11.1 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.4lbs. Complete parts a through e below. a. What is the probability that an American will consume less than 7 pounds of chocolate next year? (Round to four decimal places as needed.) b. What is the probability that an American will consume more than 9 pounds of chocolate next year?...

A study discovered that Americans consumed an average of 12.3 pounds of chocolate per year. Assume...

A study discovered that Americans consumed an average of 12.3 pounds of chocolate per year. Assume that the annual chocolate consumption follows the normal distribution with a standard deviation of 3.2 pounds. a. What is the probability that an American will consume less than 9 pounds of chocolate next? year? ?(Round to four decimal places as? needed.) b. What is the probability that an American will consume more than 11 pounds of chocolate next? year? c. What is the probability...