Chapter 2, Section 3, Exercise 101 Laptop Computers and Sperm Count Studies have

Question

Chapter 2, Section 3, Exercise 101 Laptop Computers and Sperm Count Studies have shown that heating the scr0tum by just 1 Superscript ring operatorC can reduce sperm count and sperm quality, so men concerned about fertility are cautioned to avoid too much time in the hot tub or sauna. A new study1 suggests that men also keep their laptop computers off their laps. The study measured scrotal temperature in 29 healthy male volunteers as they sat with legs together and a laptop computer on the lap. Temperature increase in the left scr0tum over a 60-minute session is given as 2.31 plus-or-minus 0.96 and a note tells us that ‘‘Temperatures are given as Superscript ring operatorC; values are shown as mean plus-or-minusSD.” The abbreviation SD stands for standard deviation. (Men who sit with their legs together without a laptop computer do not show an increase in temperature.)

SHOW HINT

the tolerance is +/-2%

(a) If we assume that the distribution of the temperature increases for the men is symmetric and bell-shaped, find an interval that we expect to contain about of the temperature increases.

Round your answers to two decimal places.

The interval is to .

SHOW HINT

Explanation / Answer

a)
mean = 2.31
sd = 0.96

we know that 95 % of data will occur in 2 sd within mean

(2.31 - 2 * 0.96 ,2.31 + 2*0.96)
= (0.39,4.23)

b)
z = (X -mean)/sd
= (4.9 - 2.31)/0.96
= 2.697916

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