ou may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: H2 90 H: H < 90 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01. (a) x = 88.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion.

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You may need to use the appropriate technology to answer this question.
Consider the following hypothesis test.
Ho: u 2 90
H:µ < 90
A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01.
(a) x = 88.5
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Do not reject Ho: There is sufficient evidence to conclude that u < 90.
O Do not reject Ho. There is insufficient evidence to conclude that u < 90.
O Reject Ho. There is insufficient evidence to conclude that µ < 90.
O Reject Ho. There is sufficient evidence to conclude that u < 90.
(b) x = 87
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Do not reject H. There is sufficient evidence to conclude that u < 90.
O Do not reject Ho. There is insufficient evidence to conclude that u < 90.
O Reject H. There is insufficient evidence to conclude that u < 90.
O Reject H.. There is sufficient evidence to conclude that u < 90.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: u 2 90 H:µ < 90 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = 0.01. (a) x = 88.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho: There is sufficient evidence to conclude that u < 90. O Do not reject Ho. There is insufficient evidence to conclude that u < 90. O Reject Ho. There is insufficient evidence to conclude that µ < 90. O Reject Ho. There is sufficient evidence to conclude that u < 90. (b) x = 87 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject H. There is sufficient evidence to conclude that u < 90. O Do not reject Ho. There is insufficient evidence to conclude that u < 90. O Reject H. There is insufficient evidence to conclude that u < 90. O Reject H.. There is sufficient evidence to conclude that u < 90.
(c) x = 85.5
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Do not reject Ho. There is sufficient evidence to conclude that u < 90.
Do not reject H,: There is insufficient evidence to conclude that u < 90.
Reject H.. There is insufficient evidence to conclude that u < 90.
O Reject Ho. There is sufficient evidence to conclude that u < 90.
(d) x= 91
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.
O Do not reject Ho. There is sufficient evidence to conclude that u < 90.
O Do not reject Ho. There is insufficient evidence to conclude that u < 90.
O Reject Ho. There is insufficient evidence to conclude that u < 90.
Reject Ho. There is sufficient evidence to conclude that u < 90.
Transcribed Image Text:(c) x = 85.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that u < 90. Do not reject H,: There is insufficient evidence to conclude that u < 90. Reject H.. There is insufficient evidence to conclude that u < 90. O Reject Ho. There is sufficient evidence to conclude that u < 90. (d) x= 91 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. O Do not reject Ho. There is sufficient evidence to conclude that u < 90. O Do not reject Ho. There is insufficient evidence to conclude that u < 90. O Reject Ho. There is insufficient evidence to conclude that u < 90. Reject Ho. There is sufficient evidence to conclude that u < 90.
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