You are given the following information: random sample of independent, normally distributed observations with unknown mean u and known standard deviation o = 6. The sample size isn3D26. You wish to test the null hypothesis Ho: u = 40 against the alternative hypothesis H: µ < 40. What value c, so that the sample mean X < c, gives probability of Type I error equal to 5%? Give your answer for c accurate to 4 decimal places. Answer: 38.07 Check

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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I got 38.07 and I'm not sure why it's wrong

You are given the following information: random sample of independent, normally distributed
observations with unknown mean u and known standard deviation o = 6. The sample size is n= 26.
You wish to test the null hypothesis Ho: u = 40 against the alternative hypothesis H, µ < 40. What
value c, so that the sample mean X < c, gives probability of Type I error equal to 5%?
%3D
Give your answer for c accurate to 4 decimal places.
Answer: 38.07
Check
prim
viden
林
19
Type here to search
hp
(12
fjo
f9
f7
fa
f5
f6
&
7
80
3
5
96
Transcribed Image Text:You are given the following information: random sample of independent, normally distributed observations with unknown mean u and known standard deviation o = 6. The sample size is n= 26. You wish to test the null hypothesis Ho: u = 40 against the alternative hypothesis H, µ < 40. What value c, so that the sample mean X < c, gives probability of Type I error equal to 5%? %3D Give your answer for c accurate to 4 decimal places. Answer: 38.07 Check prim viden 林 19 Type here to search hp (12 fjo f9 f7 fa f5 f6 & 7 80 3 5 96
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