6) You may need to use the appropriatetechnologyto answer this question.

A sample of18items provides a sample standard deviation of 9.5. Test the following hypotheses using= 0.05.

What is your conclusion?

H₀:²50

H_a:²> 50

Use thep-valueapproach.

Find the value of the test statistic.

Find thep-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

RejectH₀. We conclude that the population variance is greater than 50.

Do not rejectH₀. We conclude that the population variance is greater than 50.

RejectH₀. We conclude that the population variance is not greater than 50.

Do not rejectH₀. We conclude that the population variance is not greater than 50.

Use the critical value approach.

Find the value of the test statistic.

State the critical values for the rejection rule. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistictest statistic

7) You may need to use the appropriatetechnologyto answer this question.

The filling variance for boxes of cereal is designed to be 0.02 or less. A sample of31boxesof cereal shows a sample standard deviation of0.16ounces.Use= 0.05

to determine whether the variance in the cereal box fillings is exceeding the design specification.

State the null and alternative hypotheses.

H₀:²= 0.02

H_a:²0.02

H₀:²

H_a:²0.02

H₀:²0.02

H_a:²

H₀:²0.02

H_a:²> 0.02

H₀:²> 0.02

H_a:²0.02

Find the value of the test statistic.

Find thep-value. (Round your answer to four decimal places.)

p-value =

8) You may need to use the appropriatetechnologyto answer this question.

City Trucking, Inc., claims consistent delivery times for its routine customer deliveries. A sample of23truck deliveries shows a sample variance of1.5. Test to determine whetherH₀:²1

can be rejected. Use= 0.10.

State the null and alternative hypotheses.

H₀:²

H_a:²1

H₀:²= 1

H_a:²1

H₀:²> 1

H_a:²1

H₀:²1

H_a:²> 1

H₀:²1

H_a:²

Find the value of the test statistic.

Find thep-value. (Round your answer to four decimal places.)

p-value =

6. I DETAILS ll PREVIOUSANSWERS I You may need to use the appropriate technology to answer this question. I MYNOTES ll ASK A sample of 18 items provides a sample standard deviation of 9.5. Test the following hypotheses using a = 0.05. What is your conclusion? H0: 62 s so . 2 Ha' (I > 50 Use the p-value approach. Find the value of the test statistic. :1 Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject H0. We conclude that the population variance is greater than 50. Q Do not reject H0. We conclude that the population variance is greater than 50. O Reject H0. We conclude that the population variance is not greater than 50. Q Do not reject HO' We conclude that the population variance is not greater than 50. I Use the critical value approach. Find the value of the test statistic. State the critical values for the rejection rule. (Round your answers to three decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic s test statistic 2 7. I DETAILS II PREVIOUSANSWERS I You may need to use the appropriate technology to answer this question. State the null and alternative hypotheses. 0 H0\")-2 H:r2 :172 H:o'2 H0: 172 H : 0'2 . 2 OHO'D' H:r2 = 0.02 i 0.02 0.02 > 0.02 S 0.02 I 38 .4 pvalue = Find the value of the test statistic. u! Find the p-value. (Round your answer to four decimal places.) State your conclusion. O Reject Ho. The population variance does appear to be exceeding the standard. 0 Reject H0' The population variance does not appear to be exceeding the standard. 0 Do not reject HD' The population variance does appear to be exceeding the standard. (Q Do not reject Ho' The population variance does not appear to be exceeding the standard. V I MY NOTES I I ASK YOUR TEACHER I I PRACTICE ANOT The lling variance for boxes of cereal is designed to be 0.02 or less. A sample of 31 boxes of cereal shows a sample standard deviation of 0.16 ounces. Use a = 0.05 to determine whether the variance in the cereal box fillings is exceeding the design specication. 3. I DETAILS II PREVIOUSANSWERS I I MYNOTES II ASKYOURTEACHER II PRACTICEANOTHER You may need to use the appropriate technology to answer this question. City Trucking, Inc., claims consistent delivery times for its routine customer deliveries. A sample of 23 truck deliveries shows a sample variance of 1.5. Test to determine whether Ho: 0'2 S 1 can be rejected. Use a = 0.10. State the null and alternative hypotheses. Find the value of the test statistic. Find the pvalue. (Round your answer to four decimal places.) p-value =