A new petrol additive is under investigation. Eight cars are tested with 50 litres of petrol without the additive, and then re- tested with 50 litres of petrol with the additive included. The distances travelled (in kilometres) by each car are given in the table below. It is assumed that distance travelled is approximately normally distributed. 1 3 5 6. 7 8 Distance travelled without 505 524 677 582 656 559 635 595 additive Distance travelled with 530 516 695 547 704 571 623 625 additive In testing the hypothesis that the additive increases the distance travelled at the 5% level of significance, which one of the following statements is false? A. The absolute value of the critical value for the test is 1.8946 OB. This is a one-sided test C. The absolute value of the test statistic is 1.0350
A new petrol additive is under investigation. Eight cars are tested with 50 litres of petrol without the additive, and then re- tested with 50 litres of petrol with the additive included. The distances travelled (in kilometres) by each car are given in the table below. It is assumed that distance travelled is approximately normally distributed. 1 3 5 6. 7 8 Distance travelled without 505 524 677 582 656 559 635 595 additive Distance travelled with 530 516 695 547 704 571 623 625 additive In testing the hypothesis that the additive increases the distance travelled at the 5% level of significance, which one of the following statements is false? A. The absolute value of the critical value for the test is 1.8946 OB. This is a one-sided test C. The absolute value of the test statistic is 1.0350
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:A new petrol additive is under investigation. Eight cars are tested with 50 litres of petrol without the additive, and then re-
tested with 50 litres of petrol with the additive included. The distances travelled (in kilometres) by each car are given in the
table below. It is assumed that distance travelled is approximately normally distributed.
1
3
8.
Distance
travelled without
505
524
677
582
656
559
635
595
additive
Distance
travelled with
530
516
695
547
704
571
623
625
additive
In testing the hypothesis that the additive increases the distance travelled at the 5% level of significance, which one of the
following statements is false?
OA. The absolute value of the critical value for the test is 1.8946
B. This is a one-sided test
C. The absolute value of the test statistic is 1.0350

Transcribed Image Text:D. At the 5% level of significance there is sufficient evidence to support the alternative hypothesis that the additive increases the distanc
travelled
E. We fail to reject the null hypothesis in favour of the alternative
Reset Selection
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 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

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman