A scientist has read that the mean birth weight, , of babies born at full term is 7.5 pounds. The scientist, believing that u is greater than this value, plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 7.7 pounds and the standard deviation to be 1.6 pounds. Based on this information, answer the questions below.
A scientist has read that the mean birth weight, , of babies born at full term is 7.5 pounds. The scientist, believing that u is greater than this value, plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 7.7 pounds and the standard deviation to be 1.6 pounds. Based on this information, answer the questions below.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:A scientist has read that the mean birth weight, µ, of babies born at full
term is 7.5 pounds. The scientist, believing that u is greater than this
value, plans to perform a statistical test. She selects a random sample
of birth weights of babies born at full term and finds the mean of the
sample to be 7.7 pounds and the standard deviation to be 1.6 pounds.
Based on this information, answer the questions below.
What are the null hypothesis (H,) and the alternative hypothesis (1, ) that should be used for the test?
H,u is 2
In the context of this test, what is a Type I error?
A Type I error is
| the hypothesis that u is ?
when, in
fact, pu is
Suppose that the scientist decides to reject the null hypothesis. What sort of error might she be making?
?
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