Below you will find questions and a sample dataset. Please use the provided dataset to complete the tasks and to answer the questions.

Assuming that the following sample is taken from a normal distribution, compute the 90% confidence interval for the population mean.

Dataset:

31.6

46.9

54.5

23.7

60.3

37.6

58.3

65.7

50.2

53.7

A telecommunication company wants to estimate the mean length of time (in minutes) that 18- to 24- year-olds spend text messaging each day. In a random sample of fifty-eight 18- to 24-year-olds, the mean length of time spent text messaging was 29 minutes. From past studies, the company assumes that σ is 4.5 minutes and that the population of times is normally distributed.

Compute a 99% confidence interval for the population mean time that 18- to 24-year-olds spend text messaging each day.

Interpret the confidence interval found in part a.

What does the phrase “99% confidence” refer to in this context?

(continued on next page)

The following table shows the results of a survey in which 1017 adults from the United States, 1060 adults from Italy, and 1126 adults from Great Britain were asked the question: “Does climate change pose a large threat to the world?”

Country

Percentage That Responded “Yes”

United States

27%

Italy

49%

Great Britain

31%

Construct and interpret a 98% confidence interval for

The population proportion of adults from the United States who say that climate change poses a large threat to the world.

The population proportion of adults from Italy who say that climate change poses a large threat to the world.

The population proportion of adults from Great Britain who say that climate change poses a large threat to the world.

To compare the braking distance for two types of tires, a safety engineer conducts 45 braking tests for each type. The results of the tests are given below.

Tire Type

Mean

Standard Deviation

Tire A

42 feet

2.9 feet

Tire B

45 feet

3.1 feet

Construct a 98% confidence interval for the difference in the population mean braking distance of the two tire types.

Based on the interval in part a., does it appear that there is a statistically significant difference between the two population means? Explain.

Question

Below you will find questions and a sample dataset. Please use the provided dataset to complete the tasks and to answer the questions.

Assuming that the following sample is taken from a normal distribution, compute the 90% confidence interval for the population mean.

Dataset:

A telecommunication company wants to estimate the mean length of time (in minutes) that 18- to 24- year-olds spend text messaging each day. In a random sample of fifty-eight 18- to 24-year-olds, the mean length of time spent text messaging was 29 minutes. From past studies, the company assumes that σ is 4.5 minutes and that the population of times is normally distributed.
1. Compute a 99% confidence interval for the population mean time that 18- to 24-year-olds spend text messaging each day.
2. Interpret the confidence interval found in part a.
3. What does the phrase “99% confidence” refer to in this context?

(continued on next page)

The following table shows the results of a survey in which 1017 adults from the United States, 1060 adults from Italy, and 1126 adults from Great Britain were asked the question: “Does climate change pose a large threat to the world?”

Country	Percentage That Responded “Yes”
United States	27%
Italy	49%
Great Britain	31%

Construct and interpret a 98% confidence interval for

The population proportion of adults from the United States who say that climate change poses a large threat to the world.
The population proportion of adults from Italy who say that climate change poses a large threat to the world.
The population proportion of adults from Great Britain who say that climate change poses a large threat to the world.
To compare the braking distance for two types of tires, a safety engineer conducts 45 braking tests for each type. The results of the tests are given below.

Construct a 98% confidence interval for the difference in the population mean braking distance of the two tire types.
Based on the interval in part a., does it appear that there is a statistically significant difference between the two population means? Explain.

Accepted Answer

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90% confidence interval for the population mean. Dataset: