A researcher observes the weight of a class of 36 students in high school. The given table shows the data she collected (in kg). ☐ 70 72 69 70 68 75 68 73 72 69 67 67 74 74 72 68 71 74 65 71 70 71 74 72 75 77 66 70 73 73 69 67 71 72 72 71 The researcher wants to test whether the mean weight of all high school students in the state (u) would be 70 kg or not. So, the null and the alternative hypotheses for the test the researcher wants to conduct are: A A. The researcher's null hypothesis is Ho: μ = 70 and the alternative hypothesis is Hд: μ#70. B. The researcher's null hypothesis is Ho: μ≥70 and the alternative hypothesis is Hä: µ‡70. ○ C. The researcher's null hypothesis is Ho: µ = 70 and the alternative hypothesis is Hд: μ≥70. D. The researcher's null hypothesis is Ho: μ ≥ 70 and the alternative hypothesis is Hд: μ≤70. For a prespecified 5% significance level, the p-value of the test the researcher wants to conduct is (Round your answer to four decimal places.) The calculated p-value suggests that we will the null hypothesis. fail to reject reject

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A researcher observes the weight of a class of 36 students in high school. The given table shows the data she collected (in kg). ☐
70
72
69
70
68
75
68
73
72
69
67
67
74
74
72
68
71
74
65
71
70
71
74
72
75
77
66
70
73
73
69
67
71
72
72
71
The researcher wants to test whether the mean weight of all high school students in the state (u) would be 70 kg or not.
So, the null and the alternative hypotheses for the test the researcher wants to conduct are:
A
A. The researcher's null hypothesis is Ho: μ = 70 and the alternative hypothesis is Hд: μ#70.
B. The researcher's null hypothesis is Ho: μ≥70 and the alternative hypothesis is Hä: µ‡70.
○ C. The researcher's null hypothesis is Ho: µ = 70 and the alternative hypothesis is Hд: μ≥70.
D. The researcher's null hypothesis is Ho: μ ≥ 70 and the alternative hypothesis is Hд: μ≤70.
For a prespecified 5% significance level, the p-value of the test the researcher wants to conduct is
(Round your answer to four decimal places.)
The calculated p-value suggests that we will
the null hypothesis.
fail to reject
reject
Transcribed Image Text:A researcher observes the weight of a class of 36 students in high school. The given table shows the data she collected (in kg). ☐ 70 72 69 70 68 75 68 73 72 69 67 67 74 74 72 68 71 74 65 71 70 71 74 72 75 77 66 70 73 73 69 67 71 72 72 71 The researcher wants to test whether the mean weight of all high school students in the state (u) would be 70 kg or not. So, the null and the alternative hypotheses for the test the researcher wants to conduct are: A A. The researcher's null hypothesis is Ho: μ = 70 and the alternative hypothesis is Hд: μ#70. B. The researcher's null hypothesis is Ho: μ≥70 and the alternative hypothesis is Hä: µ‡70. ○ C. The researcher's null hypothesis is Ho: µ = 70 and the alternative hypothesis is Hд: μ≥70. D. The researcher's null hypothesis is Ho: μ ≥ 70 and the alternative hypothesis is Hд: μ≤70. For a prespecified 5% significance level, the p-value of the test the researcher wants to conduct is (Round your answer to four decimal places.) The calculated p-value suggests that we will the null hypothesis. fail to reject reject
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