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Researchers studying infant head circumferences (in centimeters) wish to test if the mean head circumference differs from the historical mean of 34.5 cm. The researchers obtain a sample of 15 infants with a mean head circumference of 34.86 cm and a standard deviation of 0.58 cm.
At the α = 0.05 significance level, test the claim
HO: µ = 34.5
HA: µ ≠ 34.5
a) Is this an upper tail, lower tail, or two-tail test? (5 points)
.
b) Are we testing means or proportions? (5 points)
c) State the rule of rejection (in terms of p-value and level of significance) (5 points)
Z test with a a= 0.05 and the decision rule is that if
we reject H0 if 0.05 > p-value .
d) Find the p-value (5 points)
e) Should you reject or not reject HO? (5 points)
f) Does the result suggest that the mean head circumference differs from 34.5 cm? (5 points)
Apr 11 2020 Read more Less More
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