AnswersMath 4Sampling Distributions – Center and Variability

Sampling Distributions – Center and Variability — Quiz Answers

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1
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What does the dot above 371 represent?

A
The majority of the samples of Granny Smith apples had mean weights greater than 371 grams.
B
There is a 1 out of 100 chance that a random sample of 40 Granny Smith apples will have a mean weight of 371 grams.
C
In one simulated random sample of 40 Granny Smith apples, the mean weight of the population was 371 grams.
D
In one simulated random sample of 40 Granny Smith apples, the mean weight of the sample was 371 grams.
7

A student decides to spin a dime and determine the proportion of times it lands on heads. The student spins the dime 25 times and records that it lands on heads 17 times. He decides to spin the dime again and spins it 100 times. Which of the following is a correct statement about the variability of the sampling distribution?

A
Since the sample size is increased, the variability of the population will decrease.
B
Since the sample size is increased, the variability will decrease.
C
Since the sample size is increased, the variability of the population will increase.
D
Since the sample size is increased, the variability will increase.
9

Students in a large district’s two high schools are offered a "Second Breakfast” program after their first-period class. The district’s nutrition manager is interested in determining if the program is effective. He takes two independent random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates the mean amount of money, in dollars spent, for the program. Which of the following statements concerning the variability of the sampling distribution of the sample mean is correct?

A
The variability of the sample mean amount of dollars spent for high school A will be greater than the variability of high school B.
B
The variability of the sample mean amount of dollars spent for high school A will be less than the variability of high school B.
C
The variability of the sample mean amount of dollars spent for high school A will be the same as the variability of high school B.
D
Since there are two different independent random samples, it is not possible to compare the variability of the two sampling distributions.
10

The manager of a large grocery store wants to inspect an incoming shipment of oranges to determine the proportion of blemishes. One inspector, Mary, takes a random sample of 25 oranges, and another inspector, Pat, takes a random sample of 50 oranges. Which of the following statements about variability of the sample proportion is correct?

A
The variability of the proportion of blemishes for Mary’s sample will be less than the variability of Pat’s.
B
The variability of the proportion of blemishes for Mary’s sample will be greater than the variability of Pat’s.
C
Since the two inspectors took two different samples, there is no way to compare the variability of the two samples.
D
The variability of the proportion of blemishes for Mary’s sample will be the same as the variability of Pat’s.

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