Homework Help is Here – Start Your Trial Now!
Math
Statistics
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Topic Video
Question
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.
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Research Design Formulation
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
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS