In a random sample of seven people, the mean driving distance to work was 20.2 miles and the standard deviation was 5.8 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean μ is (12.1, 28.3) (and the margin of error is 8.1). Through research, it has been found that the population standard deviation of driving distances to work is 4.3. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret and compare the results. Question content area bottom Part 1 Identify the margin of error. enter your response here ▼ square miles miles per hour miles (Round to one decimal place as needed.) Part 2 Construct a 99% confidence interval for the population mean. (enter your response here,enter your response here) (Round to one decimal place as needed.) Part 3 Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. With enter your response here% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. B. enter your response here% of all random samples of seven people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. C. With enter your response here% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints. D. It can be said that enter your response here% of the population has a driving distance to work (in miles) that is between the interval's endpoints. Part 4 Compare these results to the results that used the t-distribution. The new confidence interval is ▼ narrower than as wide as wider than the confidence interval that used the t-distribution and has ▼ the same a greater a lesser center.

In a random sample of seven people, the mean driving distance to work was 20.2 miles and the standard deviation was 5.8 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean μ is (12.1, 28.3) (and the margin of error is 8.1). Through research, it has been found that the population standard deviation of driving distances to work is 4.3. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret and compare the results. Question content area bottom Part 1 Identify the margin of error. enter your response here ▼ square miles miles per hour miles (Round to one decimal place as needed.) Part 2 Construct a 99% confidence interval for the population mean. (enter your response here,enter your response here) (Round to one decimal place as needed.) Part 3 Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. With enter your response here% confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. B. enter your response here% of all random samples of seven people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. C. With enter your response here% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints. D. It can be said that enter your response here% of the population has a driving distance to work (in miles) that is between the interval's endpoints. Part 4 Compare these results to the results that used the t-distribution. The new confidence interval is ▼ narrower than as wide as wider than the confidence interval that used the t-distribution and has ▼ the same a greater a lesser center.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Question content area bottom

Part 1

Identify the margin of error.

enter your response here

▼

square miles

miles per hour

miles

(Round to one decimal place as needed.)

Part 2

Construct a

99%

confidence interval for the population mean.

(enter your response here,enter your response here)

(Round to one decimal place as needed.)

Part 3

Interpret the results. Select the correct choice below and fill in the answer box to complete your choice.

(Type an integer or a decimal. Do not round.)

With

enter your response here%

confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.

enter your response here%

of all random samples of

seven

people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.

With

enter your response here%

confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.

It can be said that

enter your response here%

of the population has a driving distance to work (in miles) that is between the interval's endpoints.

Part 4

Compare these results to the results that used the t-distribution.

The new confidence interval is

▼

narrower than

as wide as

wider than

the confidence interval that used the t-distribution and has

▼

the same

a greater

a lesser

center.

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.

Expert Solution