Laptop Computers and Sperm Count Studies have shown that heating the scrotum by just 1∘C 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 scrotum over a 60-minute session is given as 2.31±0.96 and a note tells us that "Temperatures are given as ∘ C; values are shown as mean ±SD." 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.) 1Sheynkin, Y., et al., "Protection from scrotal hyperthermia in laptop computer users," Fertility and Sterility, February 2011; 92(2): 647–651. Condition gt requires numbers instead of "null" and "0" (a) If we assume that the distribution of the temperature increases for the 29 men is symmetric and bell-shaped, find an interval that we expect to contain about 95% of the temperature increases. Round your answers to two decimal places. The interval is Enter your answer in accordance to item (a) of the question statement∘ to Enter your answer in accordance to item (a) of the question statement∘. Condition gt requires numbers instead of "null" and "0" (b) Find the z-score for one of the men, who had a temperature increase of 4.9∘. Round your answer to two decimal places. z-score = Enter your answer in accordance to the question statement the tolerance is +/-2%

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Laptop Computers and Sperm Count

Studies have shown that heating the scrotum by just 1∘C 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 scrotum over a 60-minute session is given as 2.31±0.96 and a note tells us that "Temperatures are given as ∘ C; values are shown as mean ±SD." 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.)

¹Sheynkin, Y., et al., "Protection from scrotal hyperthermia in laptop computer users," Fertility and Sterility, February 2011; 92(2): 647–651.

Condition gt requires numbers instead of "null" and "0"

(a) If we assume that the distribution of the temperature increases for the 29 men is symmetric and bell-shaped, find an interval that we expect to contain about 95% of the temperature increases.

Round your answers to two decimal places.

The interval is Enter your answer in accordance to item (a) of the question statement∘ to Enter your answer in accordance to item (a) of the question statement∘.

Condition gt requires numbers instead of "null" and "0"

(b) Find the z-score for one of the men, who had a temperature increase of 4.9∘.

Round your answer to two decimal places.

z-score = Enter your answer in accordance to the question statement

the tolerance is +/-2%

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Step 1

Mean $x = 2.31$

Standard deviation $s = 0.96$

The 95% of data will occur in 2 standard deviation within mean,

$(2.31 - 2 \times 0.96, 2.31 + 2 \times 0.96) = (0.39, 4.23)$

We estimate that about 95% of the temperature increase will lie between $0 . 39^{\circ}$ and $4 . 23^{\circ}$ .

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