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Pretest for Probability and Statistics

Authored by Anthony Clark

Mathematics

11th Grade

Pretest for Probability and Statistics
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is a random variable?

A random variable is a variable that only takes on values from a specific set of outcomes.

A random variable is a constant that represents a specific event in a process.

A random variable is a fixed number that does not change.

A random variable is a variable that takes on numerical values determined by the outcomes of a random process.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Define the sample space in a probability experiment.

The sample space is the most likely outcome of an experiment.

The sample space is the average of all outcomes.

The sample space is the set of all possible outcomes of a probability experiment.

The sample space is the sum of all possible outcomes.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Explain what a probability distribution is.

A probability distribution is a fixed set of outcomes that cannot change.

A probability distribution is a method to calculate the average of a dataset.

A probability distribution is a graphical representation of data points.

A probability distribution is a function that describes the likelihood of different outcomes for a random variable.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Describe the Central Limit Theorem in relation to sample means.

The Central Limit Theorem states that the distribution of sample means approaches a normal distribution as the sample size increases.

Sample means will always be normally distributed regardless of sample size.

The Central Limit Theorem applies only to populations with a normal distribution.

The Central Limit Theorem states that sample means are always equal to the population mean.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the significance of the standard deviation in a normal distribution?

The standard deviation indicates the spread of data points around the mean in a normal distribution.

The standard deviation indicates the maximum value in a normal distribution.

The standard deviation measures the total number of data points in a distribution.

The standard deviation is the average of all data points in a normal distribution.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A researcher believes that the average cost of a Statistics workbook is PHP 180. She samples 30 workbooks and calculates the mean of the sample to be PHP 205. Does this value warrant the conclusion that the average cost of workbooks is greater than PHP 180?

The mean population might be higher than PHP 180.

The true average of the population of all workbooks might indeed be PHP 180.

No, there is insufficient information. The population might be lower than PHP 180.

No, there is insufficient information. The population might be larger than PHP 180.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the sample size is large (𝑛 ≥ 30), or when the population is normally distributed with known population variance, what test statistic for one sample group is appropriate to use?

one-sample t-test

one-sample z-test

Pearson r

. Linear Regression

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