Test for a Single Mean Example 10: Laptop Computers and Sperm Count Men hoping to have children are encouraged to avoid hot tubs or saunas, because heating the scrotum by just 1°C can reduce sperm count and sperm quality. A new study indicates that men might want to also avoid using a laptop computer on their lap for long periods of time. In the study, 34 men sat with for an hour with a laptop computer on their lap. Mean temperature increase was 2.31°C with a standard deviation of 0.96°C. Test to see if we can conclude that the average temperature increase for a man with a laptop computer on his lap for an hour is above the danger threshold of 1°C. Show all details of the test.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Test for a Single Mean
Example 10: Laptop Computers and Sperm Count
Men hoping to have children are encouraged to avoid hot tubs or saunas, because heating the scrotum by just 1°C can reduce sperm count and sperm quality. A new study indicates that men might want to also avoid using a laptop computer on their lap for long periods of time. In the study, 34 men sat with for an hour with a laptop computer on their lap. Mean temperature increase was 2.31°C with a standard deviation of 0.96°C. Test to see if we can conclude that the average temperature increase for a man with a laptop computer on his lap for an hour is above the danger threshold of 1°C. Show all details of the test.
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