A random sample of 45 home theater systems has a mean price of $139.00. Assume the population standard deviation is $15.70.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the
population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals.
EM
Re...
A random sample of 45 home theater systems has a mean price of $139.00. Assume the population standard deviation is $15.70.
Construct a 90% confidence interval for the population mean.
The 90% confidence interval is ( ).
(Round to two decimal places as needed.)
Construct a 95% confidence interval for the population mean.
The 95% confidence interval is ( ).
(Round to two decimal places as needed.)
Interpret the results. Choose the correct answer below.
O A. With 90% confidence, it can be said that the sample mean price lies in the first interval. With 95% confidence, it can be said that the sample mean price
lies in the second interval. The 95% confidence interval is wider than the 90%.
O B. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population
mean price lies in the second interval. The 95% confidence interval is wider than the 90%.
PDF
Professional
Ref.pdf
O C. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population
mean price lies in the second interval. The 95% confidence interval is narrower than the 90%.
Click to select your answer(s).
Take a Test - Micha...
w
gSearch Textbook So.
DELL
Transcribed Image Text:You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. EM Re... A random sample of 45 home theater systems has a mean price of $139.00. Assume the population standard deviation is $15.70. Construct a 90% confidence interval for the population mean. The 90% confidence interval is ( ). (Round to two decimal places as needed.) Construct a 95% confidence interval for the population mean. The 95% confidence interval is ( ). (Round to two decimal places as needed.) Interpret the results. Choose the correct answer below. O A. With 90% confidence, it can be said that the sample mean price lies in the first interval. With 95% confidence, it can be said that the sample mean price lies in the second interval. The 95% confidence interval is wider than the 90%. O B. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is wider than the 90%. PDF Professional Ref.pdf O C. With 90% confidence, it can be said that the population mean price lies in the first interval. With 95% confidence, it can be said that the population mean price lies in the second interval. The 95% confidence interval is narrower than the 90%. Click to select your answer(s). Take a Test - Micha... w gSearch Textbook So. DELL
Expert Solution
Step 1 - Writing given data

Given that 

Random sample size (n) =45

Mean price (x¯)= $139

Population standard deviation (σ)=$15.70

We know that 

Confidence interval (CI)=x¯±Zcxσn

For 90% confidence (Zc ) =1.645

For 95% confidence (Zc) = 1.96

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON