Consider the following hypothesis test: Ho: μ > 20 Ha: μ< 20 A sample of 40 provided a sample mean of 19.4. The population standard deviation is 2. a. Compute the value of the test statistic (to 2 decimals). Enter negative value as negative number. -1.90 b. What is the p-value (to 3 decimals)? c. Using a = 0.05, can it be concluded that the population mean is less than 20? Select your answer d. Using a = 0.05, what is the critical value for the test statistic (to 3 decimals)? Enter negative value as negative number. State the rejection rule: Reject Ho if z is-Select your answer - the critical value. Using a = 0.05, can it be concluded that the population mean is less than 20? - Select your answer-

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
100%

Plz solve from part d

Solution yo ist 3 parts is provided 

I need it urgently plz

Consider the following hypothesis test:
Ho: μ > 20
Ha: μ< 20
A sample of 40 provided a sample mean of 19.4. The population
standard deviation is 2.
a. Compute the value of the test statistic (to 2 decimals). Enter
negative value as negative number.
-1.90
b. What is the p-value (to 3 decimals)?
c. Using a = 0.05, can it be concluded that the population mean is
less than 20?
Select your answer
d. Using a = 0.05, what is the critical value for the test statistic (to 3
decimals)? Enter negative value as negative number.
State the rejection rule: Reject Ho if z is-Select your answer -
the critical value.
Using a = 0.05, can it be concluded that the population mean is less
than 20?
- Select your answer -
Transcribed Image Text:Consider the following hypothesis test: Ho: μ > 20 Ha: μ< 20 A sample of 40 provided a sample mean of 19.4. The population standard deviation is 2. a. Compute the value of the test statistic (to 2 decimals). Enter negative value as negative number. -1.90 b. What is the p-value (to 3 decimals)? c. Using a = 0.05, can it be concluded that the population mean is less than 20? Select your answer d. Using a = 0.05, what is the critical value for the test statistic (to 3 decimals)? Enter negative value as negative number. State the rejection rule: Reject Ho if z is-Select your answer - the critical value. Using a = 0.05, can it be concluded that the population mean is less than 20? - Select your answer -
Solution
q
given
Since
-
that
Sample size (n) = 40
Sample mean (27) = (9.4
population standard deviation (0) = 2
known
Test Statistic Z =
=
Z
Ho: MZ 20
Ha : M < 20
the population standard deviation is
so
Z test
and n730
2-M
Decision
=
2=0.05
CS Scanned with CamScanner
we
5/5m
-1.90
Using
Excel pvalue-
NORM DIST (-1.90, 0, 1, TRUE)
0.02871656
=
19.4 - २०
२% J५०
rounded off to
pvalue
the claim that
less than 20.
-
= 0.029
-1.8973
2 decimal
places
sounded off
3 decimal place
Но
Since pvalue = 0.029 < < (0-05)
refect Ho
Conclusion → There is sufficient evidence to accept
the population mean is
to
Transcribed Image Text:Solution q given Since - that Sample size (n) = 40 Sample mean (27) = (9.4 population standard deviation (0) = 2 known Test Statistic Z = = Z Ho: MZ 20 Ha : M < 20 the population standard deviation is so Z test and n730 2-M Decision = 2=0.05 CS Scanned with CamScanner we 5/5m -1.90 Using Excel pvalue- NORM DIST (-1.90, 0, 1, TRUE) 0.02871656 = 19.4 - २० २% J५० rounded off to pvalue the claim that less than 20. - = 0.029 -1.8973 2 decimal places sounded off 3 decimal place Но Since pvalue = 0.029 < < (0-05) refect Ho Conclusion → There is sufficient evidence to accept the population mean is to
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 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