Question

A study looked at n 238 adolescents, all free of severe illness. Subjects wore a wrist actigraph, which allowed the researchers to estimate sleep patterns. Those subjects classifjed as having low sleep efficiency had an average systolic blood pressure that was 5.8 millimeters.bf mercury (mm Hg) higher than that of other adolescents. The standard deviation of this difference is 1.4 mm Hg. Based on these results, test whether this difference is significant at the a 0.01 level a. State a null and alternative hvncr Lic

Answer 1

a) Hypothesis

let the given difference be $\mu$ = 5.8

HO :μ = 5.8 H, :μ + 5.8

b)

test statistic t =
–μ (η) s/
=
5.8 1.4/ (238)
= 63.91

critical value t_0.005,237 = 2.60

c) Since test statistic is more than critical value we reject null hypothesis.