According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 0, 0, 2, 2.9, 0, 0.5, 0, 0.2, 1.1, 1.2, 2.5, 0.1, 0.3, 0.6, 3.2, 3 What can be concluded at the a= 0.05 level of significance?

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

need help in part D getting result 0.0094 incorrect

According to the Carnegie unit system, the recommended number of hours students should study per unit is
2. Are statistics students' study hours less than the recommended number of hours per unit? The data show
the results of a survey of 16 statistics students who were asked how many hours per unit they studied.
Assume a normal distribution for the population.
0, 0, 2, 2.9, 0, 0.5, 0, 0.2, 1.1, 1.2, 2.5, 0.1, 0.3, 0.6, 3.2, 3
What can be concluded at the ax = 0.05 level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ? Select an answer
H₁: ? Select an answer
c. The test statistic ? ♥
=
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
d. The p-value =
e. The p-value is ? ✓ a
f. Based on this, we should [Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
The data suggest that the population mean study time per unit for statistics students is not
significantly less than 2 at a = 0.05, so there is insufficient evidence to conclude that the
population mean study time per unit for statistics students is less than 2.
O The data suggest the populaton mean is significantly less than 2 at cx = 0.05, so there is
sufficient evidence to conclude that the population mean study time per unit for statistics
students is less than 2.
O The data suggest the population mean is not significantly less than 2 at a = 0.05, so there is
sufficient evidence to conclude that the population mean study time per unit for statistics
students is equal to 2.
h. Interpret the p-value in the context of the study.
O If the population mean study time per unit for statistics students is 2 and if you survey another
16 statistics students, then there would be a 0.47045968% chance that the population mean
study time per unit for statistics students would be less than 2.
There is a 0.47045968% chance of a Type I error.
If the population mean study time per unit for statistics students is 2 and if you survey another
16 statistics students, then there would be a 0.47045968% chance that the sample mean for
these 16 statistics students would be less than 1.1.
There is a 0.47045968 % chance that the population mean study time per unit for statistics
students is less than 2.
i. Interpret the level of significance in the context of the study.
There is a 5% chance that the population mean study time per unit for statistics students is
less than 2.
O If the population mean study time per unit for statistics students is 2 and if you survey another
16 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 less than 2.
There is a 5% chance that students just don't study at all so there is no point to this survey.
O If the population mean study time per unit for statistics students is less than 2 and if you
survey another 16 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.
Transcribed Image Text:According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit? The data show the results of a survey of 16 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 0, 0, 2, 2.9, 0, 0.5, 0, 0.2, 1.1, 1.2, 2.5, 0.1, 0.3, 0.6, 3.2, 3 What can be concluded at the ax = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer c. The test statistic ? ♥ = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = e. The p-value is ? ✓ a f. Based on this, we should [Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest that the population mean study time per unit for statistics students is not significantly less than 2 at a = 0.05, so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2. O The data suggest the populaton mean is significantly less than 2 at cx = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2. O The data suggest the population mean is not significantly less than 2 at a = 0.05, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is equal to 2. h. Interpret the p-value in the context of the study. O If the population mean study time per unit for statistics students is 2 and if you survey another 16 statistics students, then there would be a 0.47045968% chance that the population mean study time per unit for statistics students would be less than 2. There is a 0.47045968% chance of a Type I error. If the population mean study time per unit for statistics students is 2 and if you survey another 16 statistics students, then there would be a 0.47045968% chance that the sample mean for these 16 statistics students would be less than 1.1. There is a 0.47045968 % chance that the population mean study time per unit for statistics students is less than 2. i. Interpret the level of significance in the context of the study. There is a 5% chance that the population mean study time per unit for statistics students is less than 2. O If the population mean study time per unit for statistics students is 2 and if you survey another 16 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 less than 2. There is a 5% chance that students just don't study at all so there is no point to this survey. O If the population mean study time per unit for statistics students is less than 2 and if you survey another 16 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.
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
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