Question 638192: A random sample is selected from a normal population. The population mean is μ=60 and the population standard deviation is σ=15. After a treatment is given to the members of the sample, the sample mean is M=65. The sample size is n=25.
A)The Hypothesis Test: a=0.05
Ho: μ=60
H1: μ<>60
B) SE[M]
C) Z
D) Is the sample mean sufficient to conclude that the treatment has a significant effect? Give reasons for your decision.
E) If the size of the sample was changed to n = 16, would the sample mean be sufficient to conclude that the treatment has a significant effect? Give reasons for your decision.
I'm confused on what it is asking does it want me to choose abc or I don't know.
thank you
Answer by reviewermath(1029)   (Show Source):
You can put this solution on YOUR website! Two Tailed Test
H0: µ = 60
H1: µ ≠ 60
z Test
Test Statistic, z: 1.6667
Critical Value : ±1.96
SE(M) = 3
P-Value: 0.0956
Fail to Reject the Null Hypothesis because the p-value is greater than 0.05.
Sample does not provide enough evidence to conclude that the treatment has a significant effect.
z Test
IF SAMPLE SIZE WAS CHANGED TO N =16 THEN
Test Statistic, z: 1.3333
Critical Value: ±1.96
SE(M) = 3.75
P-Value: 0.1824
SAME DECISION AS ABOVE BECAUSE THE P-VALUE IS GREATER THAN 0.05.
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