onduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for two machines. Use a 0.05 level of gnificance. What is your conclusion? tate the null and alternative hypotheses. 2 Ho: 0₂₁ ² > 0₂ Ha: 0₁ 0₂ Ho: Ha: 0₁²0₂² ܐܕܘ # ?:Ho: g 2 Ha: 0₁²0₂² Ho: 0₂²50₂²

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Question
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject Ho
We can conclude that the process variances are significantly different.
Do not reject Ho. We can conclude that the process variances are significantly different.
Reject Ho. We cannot conclude that the process variances are significantly different.
Do not reject Ho. We cannot conclude that the process variances are significantly different.
Which machine, if either, provides the greater opportunity for quality improvements?
Machine 1 offers the best opportunity for process quality improvements.
Machine 2 offers the best opportunity for process quality improvements.
Neither machine offers an opportunity for process quality improvements.
OOO
Transcribed Image Text:Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho We can conclude that the process variances are significantly different. Do not reject Ho. We can conclude that the process variances are significantly different. Reject Ho. We cannot conclude that the process variances are significantly different. Do not reject Ho. We cannot conclude that the process variances are significantly different. Which machine, if either, provides the greater opportunity for quality improvements? Machine 1 offers the best opportunity for process quality improvements. Machine 2 offers the best opportunity for process quality improvements. Neither machine offers an opportunity for process quality improvements. OOO
The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process
by finding ways to reduce the process variance. Jelly Belly Candy Company is testing two machines that use different technologies to fill three pound bags of jelly beans.
The following tables contain a sample of data on the weights of bags (in pounds) filled by each machine.
Machine 1
Machine 2
Ho: 01
2
Ho: 01
State the null and alternative hypotheses.
2
2
Ha: 01
Ha: 01
2.95 3.45 3.50 3.75 3.48 3.26 3.33
2
Ha: 01 ≤0₂
3.16 3.20 3.22 3.38 3.90 3.36 3.25
2
3.20
2
3.12
Ho: 01
Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for two machines. Use a 0.05 level of
significance. What is your conclusion?
=
2
Ho: 01 #0
2
02
=
2
2
02
02
2
2
2
≤02
3.20
2
2
H₂: 01 > 02
3.28
3.22 2.98 3.45 3.70 3.34 3.18 3.35
3.22 3.30
3.34 3.28 3.29 3.25 3.30 3.27
3.38 3.34 3.35
3.19 3.35
3.05 3.36 3.28
3.30 3.28 3.30 3.20 3.16 3.33
Transcribed Image Text:The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance. Jelly Belly Candy Company is testing two machines that use different technologies to fill three pound bags of jelly beans. The following tables contain a sample of data on the weights of bags (in pounds) filled by each machine. Machine 1 Machine 2 Ho: 01 2 Ho: 01 State the null and alternative hypotheses. 2 2 Ha: 01 Ha: 01 2.95 3.45 3.50 3.75 3.48 3.26 3.33 2 Ha: 01 ≤0₂ 3.16 3.20 3.22 3.38 3.90 3.36 3.25 2 3.20 2 3.12 Ho: 01 Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for two machines. Use a 0.05 level of significance. What is your conclusion? = 2 Ho: 01 #0 2 02 = 2 2 02 02 2 2 2 ≤02 3.20 2 2 H₂: 01 > 02 3.28 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.38 3.34 3.35 3.19 3.35 3.05 3.36 3.28 3.30 3.28 3.30 3.20 3.16 3.33
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