The birth weight of babies is normally distributed with a mean of 3.8 kg. A researcher...
The birth weight of babies is normally distributed with a mean of 3.8 kg. A researcher suspects that the weight of babies from mothers who smoked a lot during pregnancy will be lower than the population mean. To examine this, he takes a random sample of 26 babies from mothers who smoked a lot. The mean birthweight in this group was calculated as 3.48 kg with an estimated standard deviation of 0.80 kg. He takes Ho: mu = 3.8 kg, H1: mu < 3.8 kg. According to this data, what is the p-value for rejecting Ho? If alpha = 5% is used, will Ho be rejected?
Homework Answers
Solution :
This is the left tailed test .
The null and alternative hypothesis is ,
H0 : 
= 3.8
Ha :
< 3.8
= 3.48
= 3.8
s = 0.80
n = 26
degrees of freedom = n - 1 = 26 - 1 = 25
Test statistic = t
= (
-
) / s / 
n
= (3.48 - 3.8) / 0.80 /
26
= -2.04
Test statistic = -2.04
P-value = 0.026
= 0.05
P-value <
Reject the null hypothesis .
H0 is rejected .
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