he heights of adult females are approximately normally distributed, with an estimated mean of 65.0 inches and an estimated standard deviation of 3.00. Som esearchers hypothesized that the actual standard deviation, 6, of heights of adult females is greater than 3.00. These researchers chose a random sample of 2 dult females. The mean height of this sample was 64.9 inches, and the standard deviation was 3.44. Is there enough evidence to conclude, at the 0.1 level of gnificance, that the standard deviation of adult female heights is greater than 3.00? erform a one-tailed test. Then complete the parts below. arry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H,- H. :0 H :0 (b) Determine the type of test statistic to use. (Choose one) v O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

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
Topic Video
Question
100%
The heights of adult females are approximately normally distributed, with an estimated mean of 65.0 inches and an estimated standard deviation of 3.00. Some
researchers hypothesized that the actual standard deviation, o, of heights of adult females is greater than 3.00. These researchers chose a random sample of 20
adult females. The mean height of this sample was 64.9 inches, and the standard deviation was 3.44. Is there enough evidence to conclude, at the 0.1 level of
significance, that the standard deviation of adult female heights is greater than 3.00?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.)
(a) State the null hypothesis H, and the alternative hypothesis H1.
p
Ho :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the critical value. (Round to three or more decimal places.)
(e) Can we support the claim that the standard deviation of heights of adult
females is greater than 3.00?
O Yes ONo
Olo
Transcribed Image Text:The heights of adult females are approximately normally distributed, with an estimated mean of 65.0 inches and an estimated standard deviation of 3.00. Some researchers hypothesized that the actual standard deviation, o, of heights of adult females is greater than 3.00. These researchers chose a random sample of 20 adult females. The mean height of this sample was 64.9 inches, and the standard deviation was 3.44. Is there enough evidence to conclude, at the 0.1 level of significance, that the standard deviation of adult female heights is greater than 3.00? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H1. p Ho :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the claim that the standard deviation of heights of adult females is greater than 3.00? O Yes ONo Olo
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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
  • 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