According to the Carnegie unit system, the recommended number of hours students should study per unit is 2.  Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 12 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 1.2, 4.3, 4.5, 1.4, 1.5, 2.7, 1.8, 2.4, 1.3, 2, 2.2, 1.3 What can be concluded at the αα = 0.05 level of significance?  For this study, we should use: Select an answer.  z-test for a population mean or t-test for a population mean ? The null and alternative hypotheses would be:       H0:H0:  ? p or μ  Select an answer < ≠ ≤ > = ≥         H1:H1:  ? μ or  p  Select an answer = < ≠ ≥ ≤ >     The test statistic ? z or t ? = _______  (please show your answer to 3 decimal places.) The p-value = ______ (Please show your answer to 4 decimal places.) The p-value is ? > or  ≤   Based on this, we should? Select an answer.  accept? fail to reject? or reject ? the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is equal to 2. The data suggest that the population mean study time per unit for statistics students is not significantly more than 2 at αα = 0.05, so there is not enough evidence to conclude that the population mean study time per unit for statistics students is more than 2. Interpret the p-value in the context of the study.  There is a 25.93189482% chance of a Type I error. If the population mean study time per unit for statistics students is 2 and if you survey another 12 statistics students then there would be a 25.93189482% chance that the sample mean for these 12 statistics students would be greater than 2.22. If the population mean study time per unit for statistics students is 2 and if you survey another 12 statistics students then there would be a 25.93189482% chance that the population mean study time per unit for statistics students would be greater than 2. There is a 25.93189482% chance that the population mean study time per unit for statistics students is greater than 2. Interpret the level of significance in the context of the study. There is a 5% chance that students just don't study at all so there is no point to this survey. There is a 5% chance that the population mean study time per unit for statistics students is more than 2. If the population mean study time per unit for statistics students is more than 2 and if you survey another 12 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is equal to 2. If the population mean study time per unit for statistics students is 2 and if you survey another 12 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is more than 2.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

According to the Carnegie unit system, the recommended number of hours students should study per unit is 2.  Are statistics students' study hours more than the recommended number of hours per unit? The data show the results of a survey of 12 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population.

1.2, 4.3, 4.5, 1.4, 1.5, 2.7, 1.8, 2.4, 1.3, 2, 2.2, 1.3

What can be concluded at the αα = 0.05 level of significance? 

  1. For this study, we should use: Select an answer.  z-test for a population mean or t-test for a population mean ?
  2. The null and alternative hypotheses would be:     

 H0:H0:  ? p or μ  Select an answer < ≠ ≤ > = ≥       

 H1:H1:  ? μ or  p  Select an answer = < ≠ ≥ ≤ >    

  1. The test statistic ? z or t ? = _______  (please show your answer to 3 decimal places.)
  2. The p-value = ______ (Please show your answer to 4 decimal places.)
  3. The p-value is ? > or  ≤  
  4. Based on this, we should? Select an answer.  accept? fail to reject? or reject ? the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the populaton mean is significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is more than 2.
    • The data suggest the population mean is not significantly more than 2 at αα = 0.05, so there is enough evidence to conclude that the population mean study time per unit for statistics students is equal to 2.
    • The data suggest that the population mean study time per unit for statistics students is not significantly more than 2 at αα = 0.05, so there is not enough evidence to conclude that the population mean study time per unit for statistics students is more than 2.
  6. Interpret the p-value in the context of the study.
    •  There is a 25.93189482% chance of a Type I error.
    • If the population mean study time per unit for statistics students is 2 and if you survey another 12 statistics students then there would be a 25.93189482% chance that the sample mean for these 12 statistics students would be greater than 2.22.
    • If the population mean study time per unit for statistics students is 2 and if you survey another 12 statistics students then there would be a 25.93189482% chance that the population mean study time per unit for statistics students would be greater than 2.
    • There is a 25.93189482% chance that the population mean study time per unit for statistics students is greater than 2.
  7. Interpret the level of significance in the context of the study.
    • There is a 5% chance that students just don't study at all so there is no point to this survey.
    • There is a 5% chance that the population mean study time per unit for statistics students is more than 2.
    • If the population mean study time per unit for statistics students is more than 2 and if you survey another 12 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is equal to 2.
    • If the population mean study time per unit for statistics students is 2 and if you survey another 12 statistics students, then there would be a 5% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is more than 2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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.
Similar questions
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