Federal Highway Administration web site, the average annual miles driven per vehicle in the United States is 13.5 thousand miles. Assume σ ≈ 650 miles. Suppose that a random sample of 41 vehicles owned
Federal Highway Administration web site, the average annual miles driven per vehicle in the United States is 13.5 thousand miles. Assume σ ≈ 650 miles. Suppose that a random sample of 41 vehicles owned
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Topic Video
Question
Based on information from the Federal Highway Administration web site, the average annual miles driven per vehicle in the United States is 13.5 thousand miles. Assume σ ≈ 650 miles. Suppose that a random sample of 41 vehicles owned by residents of Chicago showed that the average mileage driven last year was 13.2 thousand miles. Would this indicate that the average miles driven per vehicle in Chicago is different from (higher or lower than) the national average? Use a 0.05 level of significance.
What are we testing in this problem?
single meansingle proportion
(a) What is the level of significance?
State the null and alternate hypotheses.
(b) What sampling distribution will you use? What assumptions are you making?
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find (or estimate) the P-value.
State the null and alternate hypotheses.
H0: p = 13.5; H1: p < 13.5H0: p = 13.5; H1: p ≠ 13.5 H0: μ = 13.5; H1: μ < 13.5H0: μ = 13.5; H1: μ > 13.5H0: p = 13.5; H1: p > 13.5H0: μ = 13.5; H1: μ ≠ 13.5
(b) What sampling distribution will you use? What assumptions are you making?
The Student's t, since we assume that x has a normal distribution with unknown σ.
The standard normal, since we assume that x has a normal distribution with unknown σ.
The standard normal, since we assume that x has a normal distribution with known σ.
The Student's t, since we assume that x has a normal distribution with known σ.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find (or estimate) the P-value.
P-value > 0.5000.
250 < P-value < 0.500
0.100 < P-value < 0.250
0.050 < P-value < 0.100
0.010 < P-value < 0.050
P-value < 0.010
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Knowledge Booster
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.Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill