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-p/(a/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 #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-p/(a/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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answers the following questions. Please circle your answers. Thank you in advanced!
![**Question #3**
Assume your α 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.
a. 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.
---
**Question #4**
Assume your α 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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca2f9b55-192d-4d11-af1a-09dd4cdb3489%2F23db34ca-b529-4d2d-a179-0de4904d23b2%2F7ufrkq3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question #3**
Assume your α 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.
a. 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.
---
**Question #4**
Assume your α 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.
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.
![**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 = μ.
At the conclusion of the study, the following information was known:
μ = 32.4
M = 35.6
σ = 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 / (σ/√n). 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
c. 2.35
d. 1.6
**Question #2**
Assume your α 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?
a. 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca2f9b55-192d-4d11-af1a-09dd4cdb3489%2F23db34ca-b529-4d2d-a179-0de4904d23b2%2F75jbuf_processed.jpeg&w=3840&q=75)
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 = μ.
At the conclusion of the study, the following information was known:
μ = 32.4
M = 35.6
σ = 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 / (σ/√n). 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
c. 2.35
d. 1.6
**Question #2**
Assume your α 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?
a. 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.
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