The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with o8. A random sample of 94 matchboxes shows the average number of matches per bax to be 42.7. Using a 1% level of significance, can you say that the average number o matches per box is more than 40? 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. O H H 40; HH< 40 O Hạ: p= 40; H,p> 40 O Hạ: p = 40; H P < 40 O Hgi H= 40; Hu> 40 O Hai p- 40, H:p- 40 O H H 40; H 40 (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 known o O The standard normal, since we assume that x has a normal distribubon with unknown O The Student's t. since we assume that x has a normal distribution with unknown a O The standard normal, since we assume that x has a normal distribution with known a what is the value of the sample test statistic (Round your answer to two decimal places.) () ind (or estimate) the value OPvalus> 0.250 O 0123

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
SPS Programs S
n Online LoCker: Vitu. B Umitied document
The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with o 8. A random sample of 94 matchboxes shows the average number of matches per box to be 42.7. Using a 1% level of significance, can you say that the average number of
matches per box is more than 40?
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.
O Ho: H- 40; H < 40
O Ho: P= 40; H,p> 40
O Hạ: p = 40; H, p< 40
O Hg: - 40; H,:u > 40
O Hoi p- 40; H,:p- 40
O Hoi H 40, H:H- 40
(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 known a.
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 unknown d
O The standard normal, since we assume that x has a normal distribution with known a.
What is the value of the sample test statistic (Round your answer to two decimal places.)
(c) Pind (or estimate) the pvalue.
O Pvalue> 0.250
O 0.125 < P.value 0.25o
O0.050 < Pvalue 0.12s
O 0.025 < Pvalue <0.05o
O 0.005 < Pvalue 0.02s
OPvalue<0.005
Sketch the sampling distribuion and show the area coresponding to the Pvalue
us 09O 10:22
Transcribed Image Text:SPS Programs S n Online LoCker: Vitu. B Umitied document The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with o 8. A random sample of 94 matchboxes shows the average number of matches per box to be 42.7. Using a 1% level of significance, can you say that the average number of matches per box is more than 40? 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. O Ho: H- 40; H < 40 O Ho: P= 40; H,p> 40 O Hạ: p = 40; H, p< 40 O Hg: - 40; H,:u > 40 O Hoi p- 40; H,:p- 40 O Hoi H 40, H:H- 40 (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 known a. 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 unknown d O The standard normal, since we assume that x has a normal distribution with known a. What is the value of the sample test statistic (Round your answer to two decimal places.) (c) Pind (or estimate) the pvalue. O Pvalue> 0.250 O 0.125 < P.value 0.25o O0.050 < Pvalue 0.12s O 0.025 < Pvalue <0.05o O 0.005 < Pvalue 0.02s OPvalue<0.005 Sketch the sampling distribuion and show the area coresponding to the Pvalue us 09O 10:22
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

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, statistics and related others by exploring similar questions and additional content below.
Similar questions
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