AP Statistics Unit 7

Which of the following is the central limit theorem used for?

• The standard deviation of the distribution of sample means is found by dividing the population standard deviation by n.

• The distribution of sample means will be approximately normal if the sample size is at least 30.

• The distribution of sample proportions is approximately normal if both np and n(1 - p) are greater than or equal to 10.

• As sample size increases, variability decreases.

53.2% of applicants are accepted into UConn. In a sample of 100 UConn applicants, 45 of them were accepted. What is the parameter?

• All UConn applicants.

• The 100 applicants in the sample.

• 53.2% acceptance rate.

• 45% of accepted in sample.

A polling company is considering three sampling procedures over a specific population. Which of the following would have greatest variability?

• 80 samples of size 20

• 50 samples of size 50

• 20 samples of size 80

• finds convincing evidence that a majority of residents supports the tax increase, when in reality there isn't convincing evidence that a majority supports the increase.
• finds convincing evidence that a majority of residents supports the tax increase, when in reality at most 50% of city residents support the increase.
• finds convincing evidence that a majority of residents supports the tax increase, when in reality more than 50% of city residents do support the increase.
• does not find convincing evidence that a majority of residents supports the tax increase, when in reality more than 50% of city residents do support the increase.
• does not find convincing evidence that a majority of residents supports the tax increase, when in reality at most 50% of city residents do support the increase.

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• The number of plots is the same for Variety A and Variety B plants.
• The response variable, yield of tomatoes, is quantitative.
• This is an experiment with randomly assigned treatments.
• Each plot is given both varieties of tomato plant.
• The sample size is less than 30 for both treatments.

• Finding convincing evidence that the true means are different for males and females, when in reality the true means are the same.
• Finding convincing evidence that the true means are different for males and females, when in reality the true means are different.
• Not finding convincing evidence that the true means are different for males and females, when in reality the true means are the same.
• Not finding convincing evidence that the true means are different for males and females, when in reality the true means are different.
• Not finding convincing evidence that the true means are different for males and females, when in reality there is convincing evidence that the true means are different.

• Assuming that the true mean road rage score is the same for males and females, there is a 0.002 probability of getting a difference in sample means equal to the one observed in this study.
• Assuming that the true mean road rage score is the same for males and females, there is a 0.002 probability of getting a difference in sample means at least as large in either direction as the one observed in this study.
• Assuming that the true mean road rage score is different for males and females, there is a 0.002 probability of getting a difference in sample means at least as large in either direction as the one observed in this study.
• Assuming that the true mean road rage score is the same for males and females, there is a 0.002 probability that the null hypothesis is true.
• Assuming that the true mean road rage score is the same for males and females, there is a 0.002 probability that the alternative hypothesis is true.

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• It is impossible to determine whether any of the statements is true based only on the P-value.

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