Question
In: Statistics and Probability
4. Another doctor claims that the mean height of 2-year-old boys is greater than 34 inches....
4.
Another doctor claims that the mean height of 2-year-old boys is
greater than 34 inches. A random sample of 320 2-year-old boys
revealed that their mean height is 33.8 inches. Knowing that the
standard deviation of all 2-year-old boys is 1.44 inches, test the
doctor’s claim at the 10% level of significance.
Solutions
Expert Solution
Answer:
= 34
, 
= 1.44
n=
320, 
= 33.8
=
0.10,
null and alternative hypothesis is
Ho: 
34
H1: 
> 34
formula for test statistics is
z = - 2.4845
test statistics : Z = -2.48
calculate P-Value
P-Value = 1 - P(z < -2.48)
using normal z table we get
P(z < -2.48) = 0.0066
P-Value = 1 - 0.0066
P-Value = 0.9934
Decision rule is
Reject
Ho if ( P-Value) 
(
)
here, (
P-Value = 0.9934 ) > ( 
= 0.10
)
Hence, Fail to reject the null hypothesis.
There is not enough evidence to conclude that the mean height of 2-year-old boys is greater than 34 inches.
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