The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with ? = 7. A random sample of 92 matchboxes shows the average number of matches per box to be 42.2. Using a 1% level of significance, can you say that the average number of matches per box is more than 40? (a) Find (or estimate) the P-value. (b) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?  (Select below).  At the ? = 0.01 level, we reject the null hypothesis and conclude the data are fewer than 40 matches per box. At the ? = 0.01 level, we reject the null hypothesis and conclude that there are more than 40 matches per box.     At the ? = 0.01 level, we fail to reject the null hypothesis and conclude that there are fewer than 40 matches per box. At the ? = 0.01 level, we fail to reject the null hypothesis and conclude that there are more than 40 matches per box.

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
icon
Related questions
Question

The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with ? = 7. A random sample of 92 matchboxes shows the average number of matches per box to be 42.2. Using a 1% level of significance, can you say that the average number of matches per box is more than 40?

(a) Find (or estimate) the P-value.

(b) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?  (Select below). 


At the ? = 0.01 level, we reject the null hypothesis and conclude the data are fewer than 40 matches per box.

At the ? = 0.01 level, we reject the null hypothesis and conclude that there are more than 40 matches per box.    

At the ? = 0.01 level, we fail to reject the null hypothesis and conclude that there are fewer than 40 matches per box.

At the ? = 0.01 level, we fail to reject the null hypothesis and conclude that there are more than 40 matches per box.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning