58.6. Assume that 107 men and 244 women were sampled, and that the standard deviations were 24.3 for men and 20 for women. Can you conclude that the mean number of text messages differs between men and women? Use the a = 0.08 level. a. State the null and alternative hypotheses. Ho: uv OB H₁: ₁ ✓ -2 -1 0 1 Critical value(s): b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: #v c. Find the test statistic. d. Find the p-value. 2 H₂ -3 H₂ -1 Oº (If there are two critical values, list both values separated by a comma) 3 -3 -2 -1 0 1 2 3

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
The Pew Internet and American Life Project surveyed 351 adults in 2019, asking them about their texting
habits. Among men, the mean number of text messages sent per day was 54.2, and among women it was
58.6. Assume that 107 men and 244 women were sampled, and that the standard deviations were 24.3 for
men and 20 for women. Can you conclude that the mean number of text messages differs between men
and women? Use the a = 0.08 level.
a. State the null and alternative hypotheses.
Ho: M₁
OH₂
H₁: |µ₁ ✓
b. Find the critical value and sketch the rejection region.
Sketch of Rejection Region:
-1
AAA
+ +
+
3 -3 -2 -1 0 1
+ + +
#v
1
Critical value(s):
H₂
c. Find the test statistic.
d. Find the p-value.
OT
(If there are two critical values, list both values separated by a comma)
-1
+ +
1
2
Transcribed Image Text:The Pew Internet and American Life Project surveyed 351 adults in 2019, asking them about their texting habits. Among men, the mean number of text messages sent per day was 54.2, and among women it was 58.6. Assume that 107 men and 244 women were sampled, and that the standard deviations were 24.3 for men and 20 for women. Can you conclude that the mean number of text messages differs between men and women? Use the a = 0.08 level. a. State the null and alternative hypotheses. Ho: M₁ OH₂ H₁: |µ₁ ✓ b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: -1 AAA + + + 3 -3 -2 -1 0 1 + + + #v 1 Critical value(s): H₂ c. Find the test statistic. d. Find the p-value. OT (If there are two critical values, list both values separated by a comma) -1 + + 1 2
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
  • SEE MORE 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