(Solution Document) A study looked at adolescents, all free of severe illness. Subjects wore a wrist actigraph, which allowed the researchers to estimate sleep patterns....

A study looked at  adolescents, all free of severe illness. Subjects wore a wrist actigraph, which allowed the researchers to estimate sleep patterns. Those subjects classified as having low sleep efficiency had an average systolic blood pressure that was 5.8 millimeters of mercury (mm Hg) higher than that of other adolescents. The standard error of this difference is known to be 1.4 mm Hg (i.e, ). The researchers were interested in whether this difference was statistically significant. (i.e., is this average difference in blood pressure significantly higher than zero?)

1.  For the story above,

(a) state the hypotheses

(b) calculate the test statistic and P-value (using the Normal table), and

(c) state your conclusion in terms of the story. Use a 1% significance level!