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:31.646.954.523.760.337.658.365.750.253.7 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?” CountryPercentage That Responded “Yes”United States27%Italy49%Great Britain31%Construct and interpret a 98% confidence interval forThe 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 TypeMeanStandard DeviationTire A42 feet2.9 feetTire B45 feet3.1 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.

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Answered: 90% confidence interval for the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.
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.

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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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90% confidence interval for the population mean. Dataset: