Question

In: Statistics and Probability

The number of 3-point shots made per game during high-school basketball games was counted for all...

The number of 3-point shots made per game during high-school basketball games was counted for all 523 games played during one school year in a particular school district. The results are shown in the bar chart below.

350

300

250

200

150

100

50

0

1

2

3

4

5

6

If we take a simple random sample of size 40 from this population and calculate the mean number of 3-point baskets, which of the following best describes the shape of the sampling distribution of means?

	Skewed right
	Approximately normal
	Approximately uniform
	Skewed left

Which of the following statements best describes the relationship between a parameter and a statistic?

	A parameter is used to estimate a statistic.
	A parameter has a sampling distribution with the statistic as its mean.
	A parameter has a sampling distribution that can be used to determine what values the statistic is likely to have in repeated samples.
	A statistic is used to estimate a parameter.

The distribution of values from a single sample of size n from a population is

the distribution of sample data.

the distribution of the parameter.

the sampling distribution.

the population distribution of the variable.
To reduce the variability of estimates from a simple random sample, you should

use a larger sample.

use a count, not a percent.

use a smaller sample.

increase the bias.
A sampling distribution is the probability distribution for which one of the following?

A sample

A population parameter

A sample statistic

A population

Expert Solution

1) If we take a simple random sample of size 40 from this population and calculate the mean number of 3-point baskets, which of the following best describes the shape of the sampling distribution of means?

The correct choice is Approximately normal

Because n = 40, so by central limit theorem , the sampling distribution of sample mean is approximately normal.

2) Which of the following statements best describes the relationship between a parameter and a statistic?

The correct choice is A statistic is used to estimate a parameter.

Statistic is also a random variable and parameter is a constant and we use statistic toestimate the parameter.

3) The distribution of values from a single sample of size n from a population is

The correct choice is the population distribution of the variable.

4) To reduce the variability of estimates from a simple random sample, you should

The correct choice is use a larger sample.

5) A sampling distribution is the probability distribution for which one of the following?

The correct choice is A sample statistic

orchestra answered 2 years ago

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