Step 3: Find the p-value of the test statistic. TB = SA = SB = F = P(F 2 p-value

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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Help with step 3 please
Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
test statistics.
We will use a(n) F
distribution with numerator degrees of freedom
dfa =
V and denominator degrees of freedom dfB
36
32
Part 3 of 4
Step 3: Find the p-value of the test statistic.
TA
XB =
SA =
SB =
s2
F =
P(F2
p-value
act to forum
||
Transcribed Image Text:Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. We will use a(n) F distribution with numerator degrees of freedom dfa = V and denominator degrees of freedom dfB 36 32 Part 3 of 4 Step 3: Find the p-value of the test statistic. TA XB = SA = SB = s2 F = P(F2 p-value act to forum ||
A beverage company has two bottling plants in different parts of the world. To insure uniformity in
their product, the variances of the weights of the bottles at the two plants should be equal. But
Stephanie, the company's vice president of quality assurance, suspects that the variance at bottling
plant A is more than the variance at bottling plant B. To test her suspicions, Stephanie samples 37
bottles from bottling plant A and 33 bottles from bottling plant B, with the following results (in
ounces):
Bottling Plant A:
12.4, 12.4, 13.4, 14.3, 12.7, 12.7, 13.7, 12.4, 12.8, 12.4, 12.9, 12.7, 12.8, 13.3, 13.8, 12.7, 12.4, 11.9,
12.9, 13, 13.1, 12.4, 12.7, 12.6, 12.5, 13.3, 12.2, 13.3, 12.8, 12.7, 13.2, 13.1, 11.7, 13, 12.3, 13.1, 12.4
Bottling Plant B:
12.9, 12, 13.4, 12.4, 12.4, 12.9, 12.7, 12.1, 11.4, 13.1, 14.1, 12.5, 12.7, 11.5, 12.3, 12.7, 13.7, 12.6, 13.9,
12.7, 12, 12.5, 11.7, 13.6, 11.4, 13.6, 14, 12, 11.5, 12, 11.7, 13, 11.8
Perform a hypothesis test using a 3% level of significance to test Stephanie's suspicions.
Step 1: State the null and alternative hypotheses.
Ho:
1
Ha:
>v 1
(So we will be performing a right-tailed
test.)
Part 2 of 4
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
test statistics.
We will use a(n) F
vv distribution with numerator degrees of freedom
dfA
and denominator degrees of freedom dfB = 32
36
Part 3 of 4
Step 3: Find the p-value of the test statistic.
Transcribed Image Text:A beverage company has two bottling plants in different parts of the world. To insure uniformity in their product, the variances of the weights of the bottles at the two plants should be equal. But Stephanie, the company's vice president of quality assurance, suspects that the variance at bottling plant A is more than the variance at bottling plant B. To test her suspicions, Stephanie samples 37 bottles from bottling plant A and 33 bottles from bottling plant B, with the following results (in ounces): Bottling Plant A: 12.4, 12.4, 13.4, 14.3, 12.7, 12.7, 13.7, 12.4, 12.8, 12.4, 12.9, 12.7, 12.8, 13.3, 13.8, 12.7, 12.4, 11.9, 12.9, 13, 13.1, 12.4, 12.7, 12.6, 12.5, 13.3, 12.2, 13.3, 12.8, 12.7, 13.2, 13.1, 11.7, 13, 12.3, 13.1, 12.4 Bottling Plant B: 12.9, 12, 13.4, 12.4, 12.4, 12.9, 12.7, 12.1, 11.4, 13.1, 14.1, 12.5, 12.7, 11.5, 12.3, 12.7, 13.7, 12.6, 13.9, 12.7, 12, 12.5, 11.7, 13.6, 11.4, 13.6, 14, 12, 11.5, 12, 11.7, 13, 11.8 Perform a hypothesis test using a 3% level of significance to test Stephanie's suspicions. Step 1: State the null and alternative hypotheses. Ho: 1 Ha: >v 1 (So we will be performing a right-tailed test.) Part 2 of 4 Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. We will use a(n) F vv distribution with numerator degrees of freedom dfA and denominator degrees of freedom dfB = 32 36 Part 3 of 4 Step 3: Find the p-value of the test statistic.
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