Consider the following hypothesis test. Ho:H2 70 HgiH< 70 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 = 68.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ha. There is insufficient evidence to conclude that u < 70. O Reject Ha. There is sufficient evidence to conclude that u < 70. O Do not reject Ho. There is sufficient evidence to conclude that u < 70. O Do not reject H. There is insufficient evidence to conclude that u < 70. (b) x = 67 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ha. There is insufficient evidence to conclude that u < 70. O Reject Ho. There is sufficient evidence to conclude that u < 70. O Do not reject Ho. There is sufficient evidence to conclude that u < 70. O Do not reject Ho. There is insufficient evidence to conclude that u < 70.

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Consider the following hypothesis test.
Ho: u 2 70
H: u < 70
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.
(а) х 3D 68.5
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value
State your conclusion.
Reject Ho.
There is insufficient evidence to conclude that u < 70.
Reject Ho. There is sufficient evidence to conclude that u < 70.
Do not reject Ho. There is sufficient evidence to conclude that u < 70.
Do not reject Ho. There is insufficient evidence to conclude that u < 70.
(b) х %3D 67
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value
State your conclusion.
Reject Ho. There is insufficient evidence to conclude that u < 70.
Reject Ho. There is sufficient evidence to conclude that u < 70.
Do not reject Ho. There is sufficient evidence to conclude that u < 70.
Do not reject Ho. There is insufficient evidence to conclude that u < 70.
0'
Transcribed Image Text:Consider the following hypothesis test. Ho: u 2 70 H: u < 70 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. (а) х 3D 68.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. Reject Ho. There is insufficient evidence to conclude that u < 70. Reject Ho. There is sufficient evidence to conclude that u < 70. Do not reject Ho. There is sufficient evidence to conclude that u < 70. Do not reject Ho. There is insufficient evidence to conclude that u < 70. (b) х %3D 67 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. Reject Ho. There is insufficient evidence to conclude that u < 70. Reject Ho. There is sufficient evidence to conclude that u < 70. Do not reject Ho. There is sufficient evidence to conclude that u < 70. Do not reject Ho. There is insufficient evidence to conclude that u < 70. 0'
(c) x = 65.5
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value
=
State your conclusion.
Reject Ho.
There is insufficient evidence to conclude that u < 70.
Reject Ho. There is sufficient evidence to conclude that µ < 70.
Do not reject Ho. There is sufficient evidence to conclude that u < 70.
Do not reject Ho. There is insufficient evidence to conclude that u < 70.
0'
(d) x:
= 71
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. There is insufficient evidence to conclude that u < 70.
Reject Ho. There is sufficient evidence to conclude that u < 70.
Do not reject Ho. There is sufficient evidence to conclude that u < 70.
Do not reject Ho. There is insufficient evidence to conclude that u < 70.
Transcribed Image Text:(c) x = 65.5 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject Ho. There is insufficient evidence to conclude that u < 70. Reject Ho. There is sufficient evidence to conclude that µ < 70. Do not reject Ho. There is sufficient evidence to conclude that u < 70. Do not reject Ho. There is insufficient evidence to conclude that u < 70. 0' (d) x: = 71 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. There is insufficient evidence to conclude that u < 70. Reject Ho. There is sufficient evidence to conclude that u < 70. Do not reject Ho. There is sufficient evidence to conclude that u < 70. Do not reject Ho. There is insufficient evidence to conclude that u < 70.
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