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 John, the company's vice president of quality assurance, suspects that the variance at bottling plant A is less than the variance at bottling plant B. To test his suspicions, John samples 33 bottles from bottling plant A and 35 bottles from bottling plant B, with the following results (in ounces): Bottling Plant A: 12.9, 14.2, 13.7, 13.2, 13.8, 12.6, 14.5, 14.2, 13.3, 14.2, 13.4, 13.1, 13.1, 13.1, 13.9, 14, 13.4, 12.8, 13.7, 12.8, 12.8, 13.6, 12.8, 13.1, 13.3, 12.2, 12.6, 12.4, 12.7, 13.6, 13, 13.1, 13.4 Bottling Plant B: 13.3, 13.7, 13.4, 13.5, 12.6, 12.6, 13, 14.4, 13.1, 13.1, 13.4, 13.7, 12.6, 13.7, 13, 12.5, 12.7, 13.4 13.8, 12.8, 12.8, 12.9, 13.6, 13.2, 13.2, 14, 13.2, 13.1, 14.3, 13.6, 13.4, 13.2, 13, 13.1, 12.8 Perform a hypothesis test using a 8% evel of significance to test John's suspicions. Step 1: State the null and alternative hypotheses. Ho: 1 Ho: 1 MY test ) .ateiled

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Part 1 of 4
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 John,
the company's vice president of quality assurance, suspects that the variance at bottling plant A is
less than the variance at bottling plant B. To test his suspicions, John samples 33 bottles from
bottling plant A and 35 bottles from bottling plant B, with the following results (in ounces):
Bottling Plant A:
12.9, 14.2, 13.7, 13.2, 13.8, 12.6, 14.5, 14.2, 13.3, 14.2, 13.4, 13.1, 13.1, 13.1, 13.9, 14, 13.4, 12.8, 13.7,
12.8, 12.8, 13.6, 12.8, 13.1, 13.3, 12.2, 12.6, 12.4, 12.7, 13.6, 13, 13.1, 13.4
Bottling Plant B:
13.3, 13.7, 13.4, 13.5, 12.6, 12.6, 13, 14.4, 13.1, 13.1, 13.4, 13.7, 12.6, 13.7, 13, 12.5, 12.7, 13.4 13.8,
12.8, 12.8, 12.9, 13.6, 13.2, 13.2, 14, 13.2, 13.1, 14.3, 13.6, 13.4, 13.2, 13, 13.1, 12.8
Perform a hypothesis test using a 8% level of significance to test John's suspicions.
Step 1: State the null and alternative hypotheses.
Но:
Ha:
(So we will bę performing a left-tailed
test.)
Transcribed Image Text:Part 1 of 4 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 John, the company's vice president of quality assurance, suspects that the variance at bottling plant A is less than the variance at bottling plant B. To test his suspicions, John samples 33 bottles from bottling plant A and 35 bottles from bottling plant B, with the following results (in ounces): Bottling Plant A: 12.9, 14.2, 13.7, 13.2, 13.8, 12.6, 14.5, 14.2, 13.3, 14.2, 13.4, 13.1, 13.1, 13.1, 13.9, 14, 13.4, 12.8, 13.7, 12.8, 12.8, 13.6, 12.8, 13.1, 13.3, 12.2, 12.6, 12.4, 12.7, 13.6, 13, 13.1, 13.4 Bottling Plant B: 13.3, 13.7, 13.4, 13.5, 12.6, 12.6, 13, 14.4, 13.1, 13.1, 13.4, 13.7, 12.6, 13.7, 13, 12.5, 12.7, 13.4 13.8, 12.8, 12.8, 12.9, 13.6, 13.2, 13.2, 14, 13.2, 13.1, 14.3, 13.6, 13.4, 13.2, 13, 13.1, 12.8 Perform a hypothesis test using a 8% level of significance to test John's suspicions. Step 1: State the null and alternative hypotheses. Но: Ha: (So we will bę performing a left-tailed test.)
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
test statistics.
We will use a(n),
Y distribution with numerator degrees of freedom
dfa
and denominator degrees of freedom dfB =
Part 3 of 4
Step 3: Find the p-value of the test stattstic.
XA =
XB =
SB =
SA =
F =
P(F?v
p-value
Transcribed Image Text:Step 2: Assuming the null hypothesis is true, determine the features of the distribution of test statistics. We will use a(n), Y distribution with numerator degrees of freedom dfa and denominator degrees of freedom dfB = Part 3 of 4 Step 3: Find the p-value of the test stattstic. XA = XB = SB = SA = F = P(F?v p-value
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