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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 345 cm The researchers

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 taillower 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 View more View Less Subscribe To Get Solution