It is claimed by the makers of Kellogg's Raisin Bran that in each value-sized box of Raisin Bran, there are "two scoops of raisins." It turns out that "two scoops" of raisins is equivalent to 10 ounces of raisins. If each value-sized box of raisins should have two scoops, or 10 ounces, of raisins, this means that if we could look at the population of value-sized boxes of Raisin Bran, the average amount of raisins in the boxes would be 10 ounces. Suppose there is concern that the machines responsible for filling the value-sized boxes might be putting more than 10 ounces of raisins in each box. A sample of 100 value-sized boxes is inspected by a quality assurance engineer, and he finds the boxes contain an average of 10.2 ounces of raisins, with a sample standard deviation of 0.8 ounces. If a hypothesis test is conducted in order to test the claim that H,: u = 10 , what will the P-value be?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.2: Writing And Solving Problems
Problem 9C
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It is claimed by the makers of Kellogg's Raisin Bran that in each value-sized box of Raisin
Bran, there are "two scoops of raisins." It turns out that "two scoops" of raisins is equivalent
to 10 ounces of raisins. If each value-sized box of raisins should have two scoops, or 10
ounces, of raisins, this means that if we could look at the population of value-sized boxes
of Raisin Bran, the average amount of raisins in the boxes would be 10 ounces. Suppose
there is concern that the machines responsible for filling the value-sized boxes might be
putting more than 10 ounces of raisins in each box. A sample of 100 value-sized boxes is
inspected by a quality assurance engineer, and he finds the boxes contain an average of
10.2 ounces of raisins, with a sample standard deviation of 0.8 ounces. If a hypothesis test
is conducted in order to test the claim that H,: u = 10 , what will the P-value be?
A. Less than 0.01
B. Between 0.01 and 0.05
C. Exactly equal to 0.05
D. Between 0.05 and 0.10
E. Larger than 0.10
Transcribed Image Text:It is claimed by the makers of Kellogg's Raisin Bran that in each value-sized box of Raisin Bran, there are "two scoops of raisins." It turns out that "two scoops" of raisins is equivalent to 10 ounces of raisins. If each value-sized box of raisins should have two scoops, or 10 ounces, of raisins, this means that if we could look at the population of value-sized boxes of Raisin Bran, the average amount of raisins in the boxes would be 10 ounces. Suppose there is concern that the machines responsible for filling the value-sized boxes might be putting more than 10 ounces of raisins in each box. A sample of 100 value-sized boxes is inspected by a quality assurance engineer, and he finds the boxes contain an average of 10.2 ounces of raisins, with a sample standard deviation of 0.8 ounces. If a hypothesis test is conducted in order to test the claim that H,: u = 10 , what will the P-value be? A. Less than 0.01 B. Between 0.01 and 0.05 C. Exactly equal to 0.05 D. Between 0.05 and 0.10 E. Larger than 0.10
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