A car company developed a certain car model to appeal to young consumers. The car company claims the average age of drivers of this certain car model is 26.00 years old. Suppose a random sample of 17 drivers was drawn, and the average age of the drivers was found to be 28.90 years. Assume the standard deviation for the age of the car drivers to be 2 years. Complete parts a through c below. a. Construct a 95% confidence interval to estimate the average age of the car driver. The 95% confidence interval for the average age of the car driver has a lower limit of years old and an upper limit of years old. (Round to two decimal places as needed.) b. Does this result lend support to the car company's claim? O A. No, because the interval does not include the company's claimed average age. O B. Yes, because the interval includes the company's claimed average age. O C. Yes, because the interval does not include the company's claimed average age. O D. No, because the interval includes the company's claimed average age. c. What assumption needs to be made to construct this interval?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
c. What assumption needs to be made to construct this interval?
A. The population of the model's drivers' ages is normally distributed.
B. The population of the model's drivers' ages is skewed to one side.
C. The population of all car drivers' ages is normally distributed.
D. The population mean for the model's drivers will be in the confidence interval.
O E. The sample size is less than 30.
Transcribed Image Text:c. What assumption needs to be made to construct this interval? A. The population of the model's drivers' ages is normally distributed. B. The population of the model's drivers' ages is skewed to one side. C. The population of all car drivers' ages is normally distributed. D. The population mean for the model's drivers will be in the confidence interval. O E. The sample size is less than 30.
A car company developed a certain car model to appeal to young consumers. The car company claims the average age of drivers of this certain car model is 26.00 years old. Suppose
a random sample of 17 drivers was drawn, and the average age of the drivers was found to be 28.90 years. Assume the standard deviation for the age of the car drivers to be 2 years.
Complete parts a through c below.
a. Construct a 95% confidence interval to estimate the average age of the car driver.
The 95% confidence interval for the average age of the car driver has a lower limit of
years old and an upper limit of years old.
(Round to two decimal places as needed.)
b. Does this result lend support to the car company's claim?
A. No, because the interval does not include the company's claimed average age.
B. Yes, because the interval includes the company's claimed average age.
C. Yes, because the interval does not include the company's claimed average age.
D. No, because the interval includes the company's claimed average age.
c. What assumption needs to be made to construct this interval?
Transcribed Image Text:A car company developed a certain car model to appeal to young consumers. The car company claims the average age of drivers of this certain car model is 26.00 years old. Suppose a random sample of 17 drivers was drawn, and the average age of the drivers was found to be 28.90 years. Assume the standard deviation for the age of the car drivers to be 2 years. Complete parts a through c below. a. Construct a 95% confidence interval to estimate the average age of the car driver. The 95% confidence interval for the average age of the car driver has a lower limit of years old and an upper limit of years old. (Round to two decimal places as needed.) b. Does this result lend support to the car company's claim? A. No, because the interval does not include the company's claimed average age. B. Yes, because the interval includes the company's claimed average age. C. Yes, because the interval does not include the company's claimed average age. D. No, because the interval includes the company's claimed average age. c. What assumption needs to be made to construct this interval?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman