In Country . the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 153-year-old boys from Country B showed a sample mean of 36.8 inches witha standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Compiete parts a throug A a Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following corectly states Hg and H,? H>37 OB Hus37 Hp237 OA H=37 Hp=37 OD H37 Hp-37 OE H>37 H37 Find the test statistic t- -0.39 (Type an integer or decimal rounded to two decimal places as needed.) Find the pvalue. p- 0.702 (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject H. Choose the comect answer below. A Do not reject Ho. There is no reason to believe that 37 in. is not the population mean at a significance level of 0.05. OB. Do not reject Hg. The population mean is definitely 37 in. on the basis of these data at a significance level of 0.05. OC. Reject Hg. There is reason to believe that 37 in. is not the population mean at a significance level of 0.05. OD. Reject H The population mean is definitely not 37 in. on the basis of these data 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. Tres an
In Country . the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 153-year-old boys from Country B showed a sample mean of 36.8 inches witha standard deviation of 2 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Compiete parts a throug A a Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following corectly states Hg and H,? H>37 OB Hus37 Hp237 OA H=37 Hp=37 OD H37 Hp-37 OE H>37 H37 Find the test statistic t- -0.39 (Type an integer or decimal rounded to two decimal places as needed.) Find the pvalue. p- 0.702 (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject H. Choose the comect answer below. A Do not reject Ho. There is no reason to believe that 37 in. is not the population mean at a significance level of 0.05. OB. Do not reject Hg. The population mean is definitely 37 in. on the basis of these data at a significance level of 0.05. OC. Reject Hg. There is reason to believe that 37 in. is not the population mean at a significance level of 0.05. OD. Reject H The population mean is definitely not 37 in. on the basis of these data 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. Tres an
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.8 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.
--..-
a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05.
Which of the following correctly states Ho and Ha?
Ho: H#37
O A.
Ha: H= 37
Ho: µ> 37
H: us 37
Ho: H2 37
OC.
Ha: u<37
OB.
Ho: μ=37
Ha: H<37
Ho: H= 37
OE.
Ha: µ> 37
Ho: µ = 37
Ha: u#37
Find the test statistic.
t= -0.39
(Type an integer or decimal rounded to two decimal places as needed.)
Find the p-value.
p= 0.702
(Type an integer or decimal rounded to three decimal places as needed.)
Reject or do not reject Ho. Choose the correct answer below.
A. Do not reject Ho. There is no reason to believe that 37 in. is not the population mean at a significance level of 0.05.
B. Do not reject Ho. The population mean is definitely 37 in. on the basis of these data at a significance level of 0.05.
C. Reject Ho. There is reason to believe that 37 in. is not the population mean at a significance level of 0.05.
D. Reject H,. The population mean is definitely not 37 in. on the basis of these data 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.
0
t =
(Type an integer or decimal rounded to two decimal places as needed.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman