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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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.

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