Assume your a is .01. What should be their decision about the null hypothesis and the conclusion for the study from Question 1? Again, use the z-table for this question. Do not reject; the threshold was equivalent to 95% of the area under the curve (p = .05). b. Reject; the sample mean was less than the threshold that represented 99% of the area under the curve, hence p>.01. c. Reject; the sample mean was above the threshold that represented 99% of the area under the curve, hence p<.01. %3D а.

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Please answer question 3.
Question #1
For a just completed research project, the null hypothesis of the researchers was that the sample mean was
equal to the population mean. Or in equation form: M .
At the conclusion of the study, the following information was known:
H = 32.4
M= 35.6
O= 6.3
n-25
See page 5 of your notes if you cannot remember what these symbols mean.
The formula to calculate Z for a population is: Z=M-/(6/Vn). Note that the formula differs from a
sample z which you have calculated in the past. You may calculate the numerator and denominator
separately, then calculate the actual Z.
a.
2.54
b. 1.56
с.
2.35
d. 1.6
Question #2
Assume your a is .05. What should be their decision about the null hypothesis and the conclusion for the
study from Question 1? Use the z-table for this question. HINT: Does the z go beyond the threshold that
represents 95% of the area under the curve? If so your null is rejected. Apply this logic to the following
question.
Hint: Is the sample mean far enough from the population mean at the .05 level?
Do not reject; the threshold was equivalent to 95% of the area under the curve (p = .05).
b. Reject; the sample mean was less than the threshold that represented 95% of the area under the
curve, hence p>.05.
c. Reject; the sample mean was above the threshold that represented 95% of the area under the
curve, hence p<.05.
a.
Transcribed Image Text:Question #1 For a just completed research project, the null hypothesis of the researchers was that the sample mean was equal to the population mean. Or in equation form: M . At the conclusion of the study, the following information was known: H = 32.4 M= 35.6 O= 6.3 n-25 See page 5 of your notes if you cannot remember what these symbols mean. The formula to calculate Z for a population is: Z=M-/(6/Vn). Note that the formula differs from a sample z which you have calculated in the past. You may calculate the numerator and denominator separately, then calculate the actual Z. a. 2.54 b. 1.56 с. 2.35 d. 1.6 Question #2 Assume your a is .05. What should be their decision about the null hypothesis and the conclusion for the study from Question 1? Use the z-table for this question. HINT: Does the z go beyond the threshold that represents 95% of the area under the curve? If so your null is rejected. Apply this logic to the following question. Hint: Is the sample mean far enough from the population mean at the .05 level? Do not reject; the threshold was equivalent to 95% of the area under the curve (p = .05). b. Reject; the sample mean was less than the threshold that represented 95% of the area under the curve, hence p>.05. c. Reject; the sample mean was above the threshold that represented 95% of the area under the curve, hence p<.05. a.
Question #3
Assume your a is .01. What should be their decision about the null hypothesis and the conclusion for the
study from Question 1? Again, use the z-table for this question.
Do not reject; the threshold was equivalent to 95% of the area under the curve (p = .05).
b. Reject; the sample mean was less than the threshold that represented 99% of the area under the
curve, hencep>.01.
Reject; the sample mean was above the threshold that represented 99% of the area under the
curve, hence p<.01.
а.
с.
Question #4
Assume your a is .001. What should
the study from Question 1? Again, use the z-table for this question.
their decision
null hypothesis and the conclusion for
a. Reject; the sample mean was beyond the threshold that represented 99.9 % of the area under the
curve, hencep<.001.
b. Do not reject. The sample mean was NOT beyond the threshold that represented 99.9% of the
area under the curve, hence p >.001.
c. Reject; the sample mean was NOT beyond the threshold that represented 99.9% of the area under
the curve, hence p <.001.
Transcribed Image Text:Question #3 Assume your a is .01. What should be their decision about the null hypothesis and the conclusion for the study from Question 1? Again, use the z-table for this question. Do not reject; the threshold was equivalent to 95% of the area under the curve (p = .05). b. Reject; the sample mean was less than the threshold that represented 99% of the area under the curve, hencep>.01. Reject; the sample mean was above the threshold that represented 99% of the area under the curve, hence p<.01. а. с. Question #4 Assume your a is .001. What should the study from Question 1? Again, use the z-table for this question. their decision null hypothesis and the conclusion for a. Reject; the sample mean was beyond the threshold that represented 99.9 % of the area under the curve, hencep<.001. b. Do not reject. The sample mean was NOT beyond the threshold that represented 99.9% of the area under the curve, hence p >.001. c. Reject; the sample mean was NOT beyond the threshold that represented 99.9% of the area under the curve, hence p <.001.
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