What is a confidence interval?

B. A range of values that is likely to contain the population parameter

A. A single value used to estimate a population parameter

C. A measure of the variability of a sampling distribution

D. A statistical test used to determine if there is a significant difference between two groups

How is the width of a confidence interval affected by the sample size?

B. As the sample size increases, the width of the confidence interval decreases.

A. As the sample size increases, the width of the confidence interval increases.

C. The sample size has no effect on the width of the confidence interval.

D. It depends on the population standard deviation.

How is the width of a confidence interval affected by the confidence level?

A. As the confidence level increases, the width of the confidence interval increases.

B. As the confidence level increases, the width of the confidence interval decreases.

C. The confidence level has no effect on the width of the confidence interval.

D. It depends on the sample size.

What is a sampling distribution?

A. A distribution of sample means

B. A distribution of sample variances

C. A distribution of individual observations

D. A distribution of population parameters

How is a sampling distribution created?

A. By taking repeated samples from a population

B. By calculating the mean of a single sample

C. By analyzing the individual observations in a population

D. By using statistical software

What is the standard deviation of a sampling distribution called?

B. Population standard deviation

D. Sampling distribution standard deviation

How is the standard error calculated?

A. By dividing the population standard deviation by the square root of the sample size

B. By multiplying the population standard deviation by the square root of the sample size

C. By squaring the population standard deviation

D. By taking the square root of the population standard deviation

What does the Central Limit Theorem state?

B. The mean of the sampling distribution is equal to the population mean.

A. The distribution of sample means is always normal.

C. The standard deviation of the sampling distribution is equal to the population standard deviation.

D. The shape of the sampling distribution is always skewed.

Under what conditions does the Central Limit Theorem apply?

A. When the sample size is large (typically n ≥ 30)

B. When the population is normally distributed

C. When the population standard deviation is known

What is the significance of the Central Limit Theorem?

A. It allows us to make inferences about a population based on a sample.

B. It simplifies the calculation of probabilities.

C. It proves that the mean of any sampling distribution is always equal to the population mean.

D. It shows that the shape of a sampling distribution is always normal.

The weights of adult male lions have a mean weight of 450 pounds and a standard deviation of 50 pounds. 40 lions are randomly selected from the population, and the mean of each sample is determined. Find the mean and standard error of the mean of the sampling distribution.

A. Mean = 450 pounds, Standard Error = 7.91 pounds

B. Mean = 450 pounds, Standard Error = 8.91 pounds

C. Mean = 450 pounds, Standard Error = 9.91 pounds

D. Mean = 450 pounds, Standard Error = 10.91 pounds

A teacher recorded the following test scores for a class: 80, 90, 95, 95, 95, 100. What is the mean, median, and mode of the test scores?

Mean: 97.5, Median: 95, Mode: 95

Mean: 92.5, Median: 95, Mode: 100

Mean: 90, Median: 95, Mode: 100

Statistics and Probability 1st Quarter Exam

Quiz

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

Allen Estabillo

Used 3+ times

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C. 1/6

D. 1/2

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A sample space is:

Probability is:

The mean of a data set is:

The median of a data set is:

The standard deviation of a data set is:

In rolling two dice, the sum of the two dice, 12, occurs just once, so P(X) is:

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