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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
Please answer question 2.
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca2f9b55-192d-4d11-af1a-09dd4cdb3489%2Fc5c2e794-84de-4794-97ed-3165115c01c3%2Faeic7vg_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 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.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman