(Human heights): (https://ourworldindata.org/human-height) Use the following data to answer the following questionThe mean height for men in the U.S. was 172.20 cm in 1820 and 178.4 cm in 1996 sample of 25 men in the U.S. with a standard deviation 7.49 cm. Assume the population is approxima normal. previous a) We want to test the claim that the men in the U.S. have become taller than men generations. Set up null and alternative hypotheses. Also give the type of test you will need to condu oμ0 = 178.4 and μ1 > 178.4 oμ0 = 178.4 and μ1 < 178.4 oμ0 = 172.2 and μ1 > 172.2 μ0 > 172.2 and μ1 = 178.4 oleft-tailed otwo-sided Oright-tailed b) Are conditions for 1-sample t-test satisfied? Why or why not? c) Make a sketch of the relevant distribution and shade critical region(s). Choose File No file chosen d) We will use a significance level of 5%. Proceed using the P-value: P-Value Approach What is the P-value Is the P-value greater or less than the significance level? Ogreater o less e) Do we reject or fail to reject the Null hypothesis? Is there sufficient evidance to support the claim 5% significance level, that the men in the U.S. have become taller than their previous generations?
(Human heights): (https://ourworldindata.org/human-height) Use the following data to answer the following questionThe mean height for men in the U.S. was 172.20 cm in 1820 and 178.4 cm in 1996 sample of 25 men in the U.S. with a standard deviation 7.49 cm. Assume the population is approxima normal. previous a) We want to test the claim that the men in the U.S. have become taller than men generations. Set up null and alternative hypotheses. Also give the type of test you will need to condu oμ0 = 178.4 and μ1 > 178.4 oμ0 = 178.4 and μ1 < 178.4 oμ0 = 172.2 and μ1 > 172.2 μ0 > 172.2 and μ1 = 178.4 oleft-tailed otwo-sided Oright-tailed b) Are conditions for 1-sample t-test satisfied? Why or why not? c) Make a sketch of the relevant distribution and shade critical region(s). Choose File No file chosen d) We will use a significance level of 5%. Proceed using the P-value: P-Value Approach What is the P-value Is the P-value greater or less than the significance level? Ogreater o less e) Do we reject or fail to reject the Null hypothesis? Is there sufficient evidance to support the claim 5% significance level, that the men in the U.S. have become taller than their previous generations?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(Human heights): (https://ourworldindata.org/human-height) Use the following data to answer the
following question The mean height for men in the U.S. was 172.20 cm in 1820 and 178.4 cm in 1996 for a
sample of 25 men in the U.S. with a standard deviation 7.49 cm. Assume the population is approximately
normal.
a) We want to test the claim that the men in the U.S. have become taller than men previous
generations. Set up null and alternative hypotheses. Also give the type of test you will need to conduct.
oμ0 = 178.4 and μ1 > 178.4
oμ0 = 178.4 and μ1 < 178.4
oμ0 = 172.2 and μ1 > 172.2
μ0 > 172.2 and μ1 = 178.4
oleft-tailed
otwo-sided
Oright-tailed
b) Are conditions for 1-sample t-test satisfied? Why or why not?
c) Make a sketch of the relevant distribution and shade critical region(s).
Choose File No file chosen
d) We will use a significance level of 5%. Proceed using the P-value:
P-Value Approach
What is the P-value
Is the P-value greater or less than the significance level?
Ogreater
o less
e) Do we reject or fail to reject the Null hypothesis? Is there sufficient evidance to support the claim, at
5% significance level, that the men in the U.S. have become taller than their previous generations?
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