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= u. 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- /(o/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 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 a. curve, hence p<.05.
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= u. 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- /(o/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 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 a. curve, hence p<.05.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Please answer question 2.

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 u.
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 - µ/(o/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
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
a.
curve, hence p<.05.
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