Researchers studying infant head circumferences (in centimeters) wish to test if the mean head circumference differs from the historical mean of 34.5cm.Theresearchers obtain a sample of 17 infants with a mean head circumference of34.16 cm and a standard deviationof0.58cm.Atthe?=0.05significancelevel, test the claimHO:µ=34.5HA:µ? 34.5a) Is this an upper tail,lower tail,or two-tail test?b) Are we testing means or proportions?c)State the rule of rejection(in terms of p-value and level of significance)d) Find the p-valuee) Should you reject or not reject HO?f) Does the result suggest that the mean head circumference differs from 34.5cm?
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