Introduction to Sampling Distributions Answers

A manufacturing company has 5 vice presidents: Andrew, Beth, Charles, Diane, and Eric.Their regional responsibilities are shown in the table.Vice PresidentRegional ResponsibilityAndrewEastBethEastCharlesEastDianeWestEricWest

A student would like to estimate the mean length of words in a book report he just finished writing. He selects a random sample of 20 words and determines the mean length to be 4 characters. Later, he discovers how to use a built-in function of his word-processing program that reveals that the mean length of all words in his book report is 4.3 characters. Which of the following statements is true?

A random sample of 40 seniors reveals that 10% of those sampled have assigned parking spaces in the high school’s main lot. This is surprising because, according to the main office of a large high school, 45% of seniors have assigned parking spaces in the high school’s main lot. Which of the following statements is true?

A real estate agent has 4 homes for sale: A, B, C, and D. Here are the listing prices.Home A: $150,000Home B: $250,000Home C: $190,000Home D: $550,000

A random sample of 40 seniors reveals that 10% of those sampled have assigned parking spaces in the high school’s main lot. This is surprising because, according to the main office of the large high school, 45% of seniors have assigned parking spaces in the high school’s main lot. Which of the following statements is true?

A random sample of 50 bottles is selected from the production line of a large manufacturing company. The mean of the contents of the 50 bottles is 20.25 ounces. The manager of the company requests that the machines be recalibrated because bottles coming off the production line are supposed to contain 20 ounces. Which of the following statements is true?

A manufacturing company has 5 vice presidents: Andrew, Beth, Charles, Diane, and Eric.Their regional responsibilities are shown in the table.Vice PresidentRegional ResponsibilityAndrewEastBethEastCharlesEastDianeWestEricWestThe president of the company wants to randomly select 2 of the 5 vice presidents to send to a conference. The 10 possible samples of size 2 that can be selected from this population without replacement are (Andrew, Beth), (Andrew, Charles), (Andrew, Diane), (Andrew, Eric), (Beth, Charles), (Beth, Diane), (Beth, Eric), (Charles, Diane), (Charles, Eric), and (Diane, Eric).

A manufacturing company has 5 vice presidents: Andrew, Beth, Charles, Diane, and Eric.Their regional responsibilities are shown in the table.Vice PresidentRegional ResponsibilityAndrewEastBethEastCharlesEastDianeWestEricWestHere is a graph of the distribution of regional responsibility for these 5 vice presidents.The president of the company wants to select 2 of the 5 vice presidents to send to a conference. The 10 possible samples of size 2 who can be selected from this population without replacement are (Andrew, Beth), (Andrew, Charles), (Andrew, Diane), (Andrew, Eric), (Beth, Charles), (Beth, Diane), (Beth, Eric), (Charles, Diane), (Charles, Eric), and (Diane, Eric). The proportion of vice presidents who have east as their regional responsibility for these 10 possible samples is shown in this graph.The president places the names of the 5 vice presidents in a hat, mixes them well, and then selects two names without replacement. Andrew and Diane are selected. The regional responsibility of Andrew is east and the regional responsibility of Diane is west, so the proportion of east for this particular sample is 0.5. Here is a graph of this distribution:

A random sample of 100 cartons of eggs is selected from a grocery store, and it is discovered that 2% of the selected cartons contain at least one broken egg. A separate random sample of 100 cartons of eggs is selected from a club store and it is found that 5% of the selected cartons contain at least one broken egg. Which of the following statements is true?