The number of children of each of the first 41 United ...
Normal Distribution – More Practice Name:
|1) The number of children of each of the first 41 United States | |
|presidents is given in the accompanying table. For this | |
|population, determine the mean and the standard deviation to the | |
|nearest tenth. | |
|a) How many of these presidents fall within one standard | |
|deviation of the mean? | |
|b) What percent of these presidents fall within one standard | |
|deviation of the mean? | |
|c) Does this data approximate a normal distribution? | |
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|2) Battery lifetime is normally distributed for large samples. | |
|The mean lifetime is 500 days and the standard deviation is 61 | |
|days. To the nearest percent, what percent of batteries have | |
|lifetimes longer than 561 days? | |
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|3) A shoe manufacturer collected data regarding men's shoe sizes | |
|and found that the distribution of sizes exactly fits the normal | |
|curve. If the mean shoe size is 11 and the standard deviation is | |
|1.5, find: | |
|a. the probability that a man's shoe size is greater than or | |
|equal to 11. | |
|b. the probability that a man's shoe size is greater than or | |
|equal to 14. | |
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|The amount of mustard dispensed from a machine at The Hotdog | |
|Emporium is normally distributed with a mean of 0.9 ounces and a | |
|standard deviation of 0.2 ounces. If the machine is used 500 | |
|times, approximately how many times will it be expected to | |
|dispense between 1 and 1.3 ounces of mustard. | |
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5) Look at the following test scores and determine whether the scores approximate a normal distribution. Show your work and justify your answer.
73, 63, 72, 65, 88, 89, 75, 69, 85, 91, 85, 70, 77, 82, 83, 79, 93, 95
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