Suppose Al's Aviation claims their airplanes can hold an average of 602 luggage bags at once. A random sample of 20 airplanes is taken, which leads to a sample mean of 568 bags with a sample standard deviation of 80 bags. Using this sample, a test is constructed about whether the actual average number of bags the airplanes can hold is less than what Al's Aviation claims, using a significance level of 0.01. (a) What are the null and alternative hypotheses? Ho: р ◆ 602- HA: р 602- (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.05 < p-value < 0.10 (d) Based on the p-value, those conducting the test should fail to reject the null hypothesis. (e) This data does not provide sufficient evidence to conclude that the actual average number of bags the airplanes can hold is less than what Al's Aviation claims.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

Q1

Suppose Al's Aviation claims their airplanes can
hold an average of 602 luggage bags at once. A
random sample of 20 airplanes is taken, which
leads to a sample mean of 568 bags with a
sample standard deviation of 80 bags. Using this
sample, a test is constructed about whether the
actual average number of bags the airplanes can
hold is less than what Al's Aviation claims, using a
significance level of 0.01.
(a) What are the null and alternative hypotheses?
602-
Ho: P
HA: P
◆
602-
(b) What is the test statistic? (Round your answer
to 3 decimal places, if needed.)
(c) Using the statistical table, the p-value is
0.05 < p-value < 0.10
(d) Based on the p-value, those conducting the
test should fail to reject the null hypothesis.
Check
(e) This data does not provide sufficient
evidence to conclude that the actual average
number of bags the airplanes can hold is
less than
◆ what Al's Aviation claims.
Transcribed Image Text:Suppose Al's Aviation claims their airplanes can hold an average of 602 luggage bags at once. A random sample of 20 airplanes is taken, which leads to a sample mean of 568 bags with a sample standard deviation of 80 bags. Using this sample, a test is constructed about whether the actual average number of bags the airplanes can hold is less than what Al's Aviation claims, using a significance level of 0.01. (a) What are the null and alternative hypotheses? 602- Ho: P HA: P ◆ 602- (b) What is the test statistic? (Round your answer to 3 decimal places, if needed.) (c) Using the statistical table, the p-value is 0.05 < p-value < 0.10 (d) Based on the p-value, those conducting the test should fail to reject the null hypothesis. Check (e) This data does not provide sufficient evidence to conclude that the actual average number of bags the airplanes can hold is less than ◆ what Al's Aviation claims.
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