Juestion #4 Assume your a is .001. What should be their decision about the null hypothesis and the conclusion for he study from Question 1? Again, use the z-table for this question. a. Reject; the sample mean was beyond the threshold that represented 99.9 % of the area under the curve, hence p<.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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Please answer question 4.
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
М-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 - /(ơ/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.
а. 2.54
b. 1.56
c. 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 М-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 - /(ơ/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. а. 2.54 b. 1.56 c. 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, hence p>.01.
а.
Reject; the sample mean was above the threshold that represented 99% of the area under the
curve, hence p<.01.
с.
Question #4
Assume your a is .001. 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.
а.
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, hencep>.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, hence p>.01. а. Reject; the sample mean was above the threshold that represented 99% of the area under the curve, hence p<.01. с. Question #4 Assume your a is .001. 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. а. 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, hencep>.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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