In: Statistics and Probability
A researcher observes the weight of a class of 36 students in high school. The given table shows the data she collected (in kg).
71 |
70 |
68 |
75 |
72 |
69 |
68 |
72 |
72 |
69 |
67 |
67 |
74 |
74 |
74 |
68 |
71 |
74 |
68 |
71 |
70 |
71 |
74 |
72 |
75 |
77 |
72 |
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
(μ)
would be
70
kg or not.
So, the null and the alternative hypotheses for the test the researcher wants to conduct are:
A.The researcher's null hypothesis is
H0: μ=70
and the alternative hypothesis is
HA: μ≠70.
Your answer is correct.
B.The researcher's null hypothesis is
H0: μ≥70
and the alternative hypothesis is
HA: μ≤70.
C.The researcher's null hypothesis is
H0: μ=70
and the alternative hypothesis is
HA: μ≥70.
D.The researcher's null hypothesis is
H0: μ≥70
and the alternative hypothesis is
HA: μ≠70.
For a prespecified 5% significance level, the
p-value
of the test the researcher wants to conduct is
nothing.
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