Researchers studying infant head circumferences

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 17 infants with a mean head circumference of 34.16 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) 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)