Country A, the population mean height for 3-year-old boys is 38 inches. Suppose a random sample of 15 3-year-old boys from Country B showed dependently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. sample mean of 37.9 inches with a standard deviation of 2 inches. The boys were Họ: H2 38 D. HgiH<38 Ho:µ = 38 H:u# 38 Ho:H = 38 OF. HgiH<38 nd the test statistic. -0.19 an integer or decimal rounded to two decimal places as needed.) nd the p-value. = 0.849 ype an integer or decimal rounded to three decimal places as needed.) eject or do not reject Ho. Choose the correct answer below. O A. Reject Ho. The population mean is definitely not 38 in. on the basis of these data at a significance level of 0.05. B. Do not reject Ho. There is no reason to believe that 38 in. is not the population mean at a significance level of 0.05. C. Do not reject Ho. The population mean is definitely 38 in. on the basis of these data at a significance level of 0.05. O D. Reject Ho. There is reason to believe that 38 in. is not the population mean at a significance level of 0.05. Now suppose the sample consists of 30 boys instead of 15 and repeat the test. nd the test statistic.

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%

and what is the p- value?

In Country A, the population mean height for 3-year-old boys is 38 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 37.9 inches with a standard deviation of 2 inches. The boys were
independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below.
Ho: H2 38
Ha: µ<38
Ho: µ = 38
E.
Ha: u# 38
Ho: µ= 38
Ha: µ< 38
OF.
Find the test statistic.
t= - 0.19
(Type an integer or decimal rounded to two decimal places as needed.)
Find the p-value.
p=
= 0.849
(Type an integer or decimal rounded to three decimal places as needed.)
Reject or do not reject Ho. Choose the correct answer below.
A. Reject Ho. The population mean is definitely not 38 in. on the basis of these data at a significance level of 0.05.
B. Do not reject Ho. There is no reason to believe that 38 in. is not the population mean at a significance level of 0.05.
C. Do not reject Ho. The population mean is definitely 38 in. on the basis of these data at a significance level of 0.05.
D. Reject Ho. There is reason to believe that 38 in. is not the population mean at a significance level of 0.05.
b. Now suppose the sample consists of 30 boys instead of 15 and repeat the test.
Find the test statistic.
t=
(Type an integer or decimal rounded to two decimal places as needed.)
Transcribed Image Text:In Country A, the population mean height for 3-year-old boys is 38 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 37.9 inches with a standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. Ho: H2 38 Ha: µ<38 Ho: µ = 38 E. Ha: u# 38 Ho: µ= 38 Ha: µ< 38 OF. Find the test statistic. t= - 0.19 (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. p= = 0.849 (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject Ho. Choose the correct answer below. A. Reject Ho. The population mean is definitely not 38 in. on the basis of these data at a significance level of 0.05. B. Do not reject Ho. There is no reason to believe that 38 in. is not the population mean at a significance level of 0.05. C. Do not reject Ho. The population mean is definitely 38 in. on the basis of these data at a significance level of 0.05. D. Reject Ho. There is reason to believe that 38 in. is not the population mean at a significance level of 0.05. b. Now suppose the sample consists of 30 boys instead of 15 and repeat the test. Find the test statistic. t= (Type an integer or decimal rounded to two decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
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
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