# Confidence Intervals for the Mean

## Confidence Interval on the Mean

### Questions

Question 1 out of 5.
You know the mean and standard deviation of the population. You take a sample from this population and compute the 90% confidence interval for the mean. This interval contains values that are within how many standard deviations of the mean?

Question 2 out of 5.
There is a population of test scores. You take a sample of 11 scores and use them to estimate the population mean and standard deviation. Then you compute a 95% confidence interval for the mean. This confidence interval contains values that are within how many standard deviations of its mean?

Question 3 out of 5.
You take a sample (N = 25) of test scores from a population. The sample mean is 38, and the population standard deviation is 6.5. What is the 95% confidence interval on the mean?

(37.49, 38.51)

(36.49, 39.51)

(35.45, 40.55)

(25.26, 50.74)

Question 4 out of 5.
You take a sample (N = 9) of heights of fifth graders. The sample mean was 49, and the sample standard deviation was 4. What is the 99% confidence interval on the mean?

(39.76, 58.24)

(44.53, 53.47)

(45.93, 52.07)

(47.51, 50.49)

Question 5 out of 5.

Based on the data below, what is the upper limit of the 95% confidence interval for the mean of A1? You may want to use the Analysis Lab or another statistical program to answer this.
________

A1
1
4
5
5
7
9
10
11
12
13
14
14
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23
24
24
24 29
The text passage contains a series of questions related to confidence intervals, with some questions followed by multiple-choice answers and one question with a data set for a calculation.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Confidence Intervals for the Mean

## Confidence Interval on the Mean

### Questions

Question 1 out of 5.
You know the mean and standard deviation of the population. You take a sample from this population and compute the 90% confidence interval for the mean. This interval contains values that are within how many standard deviations of the mean?

Question 2 out of 5.
There is a population of test scores. You take a sample of 11 scores and use them to estimate the population mean and standard deviation. Then you compute a 95% confidence interval for the mean. This confidence interval contains values that are within how many standard deviations of its mean?

Question 3 out of 5.
You take a sample (N = 25) of test scores from a population. The sample mean is 38, and the population standard deviation is 6.5. What is the 95% confidence interval on the mean?

(37.49, 38.51)

(36.49, 39.51)

(35.45, 40.55)

(25.26, 50.74)

Question 4 out of 5.
You take a sample (N = 9) of heights of fifth graders. The sample mean was 49, and the sample standard deviation was 4. What is the 99% confidence interval on the mean?

(39.76, 58.24)

(44.53, 53.47)

(45.93, 52.07)

(47.51, 50.49)

Question 5 out of 5.

Based on the data below, what is the upper limit of the 95% confidence interval for the mean of A1? You may want to use the Analysis Lab or another statistical program to answer this.
________

A1
1
4
5
5
7
9
10
11
12
13
14
14
17
19
20
23
24
24
24 29
user
The text passage contains a series of questions related to confidence intervals, with some questions followed by multiple-choice answers and one question with a data set for a calculation.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS