a test of hypotheses Ho : H = -27 versus Ha : u # -27 in a normally distributed population, e rejection region is the union of intervals (-oo, -2.120] U [2.120, o0), the value of the sample mean mputed from a sample of size 17 is i = -28.5, and the value of the test statistic is t = -2.811. The rect decision and justification are: %3D ) Do not reject Ho because the sample is small. ) Do not reject Ho because -28.5 lies in the rejcction region. c) Reject Ho because = -28.5 -27 = Ho. 1) Reject Ho because the test statistic is negative. e) Reject Ho because -2.811 < -2.120.

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
In a test of hypotheses \( H_0: \mu = -27 \) versus \( H_a: \mu \neq -27 \) in a normally distributed population, the rejection region is the union of intervals \((-\infty, -2.120) \cup [2.120, \infty)\). The value of the sample mean computed from a sample of size 17 is \( \bar{x} = -28.5 \), and the value of the test statistic is \( t = -2.811 \). The correct decision and justification are:

(a) Do not reject \( H_0 \) because the sample is small.

(b) Do not reject \( H_0 \) because \(-28.5\) lies in the rejection region.

(c) Reject \( H_0 \) because \( \bar{x} = -28.5 \neq -27 = \mu_0 \).

(d) Reject \( H_0 \) because the test statistic is negative.

(e) Reject \( H_0 \) because \(-2.811 < -2.120\).
Transcribed Image Text:In a test of hypotheses \( H_0: \mu = -27 \) versus \( H_a: \mu \neq -27 \) in a normally distributed population, the rejection region is the union of intervals \((-\infty, -2.120) \cup [2.120, \infty)\). The value of the sample mean computed from a sample of size 17 is \( \bar{x} = -28.5 \), and the value of the test statistic is \( t = -2.811 \). The correct decision and justification are: (a) Do not reject \( H_0 \) because the sample is small. (b) Do not reject \( H_0 \) because \(-28.5\) lies in the rejection region. (c) Reject \( H_0 \) because \( \bar{x} = -28.5 \neq -27 = \mu_0 \). (d) Reject \( H_0 \) because the test statistic is negative. (e) Reject \( H_0 \) because \(-2.811 < -2.120\).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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