The average annual miles driven per vehicle in the United States is 11.1 thousand miles, with o = 600 miles. Suppose that a random sample of 31 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.8 thousand miles. Does 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? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. о Но: р3D 11.1; Hі: р> 11.1 O Ho: H = 11.1; H1: µ > 11.1 O Ho: µ = 11.1; H1: µ # 11.1 о Hо: р 3 11.1; Hi: р# 11.1 O Ho: p = 11.1; H1: p < 11.1 O Ho: µ = 11.1; H1: µ < 11.1 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with unknown o. O The Student's t, since we assume that x has a normal distribution with known o. O The standard normal, since we assume that x has a normal distribution with known o. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.500 O 0.250 < P-value < 0.500 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010

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
Topic Video
Question
The average annual miles driven per vehicle in the United States is 11.1
thousand miles, with o = 600 miles. Suppose that a random sample of 31
vehicles owned by residents of Chicago showed that the average mileage driven
last year was 10.8 thousand miles. Does 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?
O single mean
O single proportion
(a) What is the level of significance?
State the null and alternate hypotheses.
о Но: р3D 11.1; Hі: р> 11.1
O Ho: H = 11.1; H1: µ > 11.1
O Ho: µ = 11.1; H1: µ # 11.1
о Hо: р 3 11.1; Hi: р# 11.1
O Ho: p = 11.1; H1: p < 11.1
O Ho: µ = 11.1; H1: µ < 11.1
(b) What sampling distribution will you use? What assumptions are you
making?
O The Student's t, since we assume that x has a normal distribution with
unknown o.
O The standard normal, since we assume that x has a normal distribution
with unknown o.
O The Student's t, since we assume that x has a normal distribution with
known o.
O The standard normal, since we assume that x has a normal distribution
with known o.
What is the value of the sample test statistic? (Round your answer to two
decimal places.)
(c) Find (or estimate) the P-value.
O P-value > 0.500
O 0.250 < P-value < 0.500
O 0.100 < P-value < 0.250
O 0.050 < P-value < 0.100
O 0.010 < P-value < 0.050
O P-value < 0.010
Transcribed Image Text:The average annual miles driven per vehicle in the United States is 11.1 thousand miles, with o = 600 miles. Suppose that a random sample of 31 vehicles owned by residents of Chicago showed that the average mileage driven last year was 10.8 thousand miles. Does 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? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. о Но: р3D 11.1; Hі: р> 11.1 O Ho: H = 11.1; H1: µ > 11.1 O Ho: µ = 11.1; H1: µ # 11.1 о Hо: р 3 11.1; Hi: р# 11.1 O Ho: p = 11.1; H1: p < 11.1 O Ho: µ = 11.1; H1: µ < 11.1 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with unknown o. O The Student's t, since we assume that x has a normal distribution with known o. O The standard normal, since we assume that x has a normal distribution with known o. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.500 O 0.250 < P-value < 0.500 O 0.100 < P-value < 0.250 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O P-value < 0.010
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
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
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