studies have shown that heating the scrotum by just 1 degree C can reduce sperm count and sperm quality. A new study suggests that men also keep their laptop off thier laps. The study measured scrotal temp. in 29 healthy males as they sat with legs together and a laptop on the lap. Temp. increase in the left scrotum over a 60 minute session is given as 2.31 +\-0.96 and a note tells us that "temp. are given as degree C; values are shown as mean +\- SD (standard deviation). {Men who sit with thier legs together without a laptop do not show an increase in temp.}
(a) assume that the distribution of the temp. increases for the 29 males is symmetric and bell-shaped, find an interval that we expect to contain about 95% of hte temp. increases.
(b) Find and interpret the z-score for one of the men, who had a temp. increase of 4.9
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