Is the attached problem a two sample test for a two sample normal means hypothesis test? Not sure how to answer the problem.

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Is the attached problem a two sample test for a two sample normal means hypothesis test? Not sure how to answer the problem.

Q-1) In the paper "Persistent Pulmonary Hypertension of the Neonate and Asymmetric Growth
Restriction" (Obstetrics & Gynecology, Vol. 91, No. 3, pp. 336-341), M. Williams et al. reported on a
study of characteristics of neonates. Infants treated for pulmonary hypertension, called the PH group,
were compared with those not so treated, called the control group.
PH
Control
33.9
35.2
33.4
33.4
37.9
34.3
32.5
31.8
36.2
31.5
35.1
35.6
34.5
31.3
31.3
33.1
32.9
34.1
34.1
31.9
36.7
33.5
32.4
35.2
31.9
35.1
35.8
35.1
34.8
32.8
36.0
36.3
33.6
34.5
34.0
a. At a = 0.1 level of significance, do the data provide sufficient evidence to conclude that variation
in head circumferences differs among neonates treated for pulmonary hypertension and those
not so treated?
b. What assumptions about the distribution of head circumference for each group is necessary for
the test you conducted in part (a) to be valid?
c. Conduct an appropriate test to compare the mean head circumference between the two
groups. Report the p-value of this test and state your conclusions.
Transcribed Image Text:Q-1) In the paper "Persistent Pulmonary Hypertension of the Neonate and Asymmetric Growth Restriction" (Obstetrics & Gynecology, Vol. 91, No. 3, pp. 336-341), M. Williams et al. reported on a study of characteristics of neonates. Infants treated for pulmonary hypertension, called the PH group, were compared with those not so treated, called the control group. PH Control 33.9 35.2 33.4 33.4 37.9 34.3 32.5 31.8 36.2 31.5 35.1 35.6 34.5 31.3 31.3 33.1 32.9 34.1 34.1 31.9 36.7 33.5 32.4 35.2 31.9 35.1 35.8 35.1 34.8 32.8 36.0 36.3 33.6 34.5 34.0 a. At a = 0.1 level of significance, do the data provide sufficient evidence to conclude that variation in head circumferences differs among neonates treated for pulmonary hypertension and those not so treated? b. What assumptions about the distribution of head circumference for each group is necessary for the test you conducted in part (a) to be valid? c. Conduct an appropriate test to compare the mean head circumference between the two groups. Report the p-value of this test and state your conclusions.
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