You may need to use the appropriate technology to answer this question. A sample of 16 items from population 1 has a sample variance s,? - 5.8 and a sample of 21 items from population 2 has a sample variance s, - 2.4. Test the following hypotheses at the 0.05 level of significance. (a) What is your conclusion using the p-value approach? 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 cannot conclude that , > a,?. Do not reject Ho. We cannot conclude that a, > a,. Reject Hg. We can conclude that ,? > a,. Do not reject Hg. We can conclude that a, > a,?. (b) Repeat the test using the critical value approach. Find the value of the test statistic. (Round your answer to two decimal places.) State the critical values for the rejeation.aila vo arA anuingonntal, enter NONE for the unused tail.) Reject H. We can conclude that o,? > a,?. Do not reject Hg. We can conclude that o,? > o,?. (b) Repeat the test using the critical value approach. Find the value of the test statistic. (Round your answer to two decimal places.) State the critical values for the rejection rule. (If you are only using one tail, enter NONE for the unused tail.) test statistic s test statistic 2 State your conclusion. Reject Ho. We cannot conclude that a,? > o,?. Do not reject Ho, We cannot conclude that a,> Reject Ho. We can conclude that e,? > a,. Do not reject Ho. We can conclude that a,? > a,?

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You may need to use the appropriate technology to answer this question.
A sample of 16 items from population 1 has a sample variance s,? = 5.8 and a sample of 21 items from population 2 has a
sample variance s,2 - 2.4. Test the following hypotheses at the 0.05 level of significance.
H: 0,? > az?
(a) What is your conclusion using the p-value approach?
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 cannot conclude that , > ,?.
Do not reject Hg. We cannot conclude that a,? > a,?.
Reject H. We can conclude that o,? > a,?.
Do not reject Hg. We can conclude that a,? > az?.
(b) Repeat the test using the critical value approach.
Find the value of the test statistic. (Round your answer to two decimal places.)
State the critical values for the rejection ila o ara anusingntail, enter NONE for the unused tail.)
Reject Hg. We can conclude that e,? > a,?.
Do not reject Hg. We can conclude that o,? > oz?.
(b) Repeat the test using the critical value approach.
Find the value of the test statistic. (Round your answer to two decimal places.)
State the critical values for the rejection rule. (If you are only using one tail, enter NONE for the unused tail.)
test statistic s
test statistic 2
State your conclusion.
Reject Ho. We cannot conclude that a,? > o,?.
Do not reject Ho. We cannot conclude that o,
Reject Ho. We can conclude that e,? > a,?.
Do not reject Ho. We can conclude that a,? > az?.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. A sample of 16 items from population 1 has a sample variance s,? = 5.8 and a sample of 21 items from population 2 has a sample variance s,2 - 2.4. Test the following hypotheses at the 0.05 level of significance. H: 0,? > az? (a) What is your conclusion using the p-value approach? 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 cannot conclude that , > ,?. Do not reject Hg. We cannot conclude that a,? > a,?. Reject H. We can conclude that o,? > a,?. Do not reject Hg. We can conclude that a,? > az?. (b) Repeat the test using the critical value approach. Find the value of the test statistic. (Round your answer to two decimal places.) State the critical values for the rejection ila o ara anusingntail, enter NONE for the unused tail.) Reject Hg. We can conclude that e,? > a,?. Do not reject Hg. We can conclude that o,? > oz?. (b) Repeat the test using the critical value approach. Find the value of the test statistic. (Round your answer to two decimal places.) State the critical values for the rejection rule. (If you are only using one tail, enter NONE for the unused tail.) test statistic s test statistic 2 State your conclusion. Reject Ho. We cannot conclude that a,? > o,?. Do not reject Ho. We cannot conclude that o, Reject Ho. We can conclude that e,? > a,?. Do not reject Ho. We can conclude that a,? > az?.
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