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The weekly wages of 1000 workmen are normally distributed around a mean of#70 and a standard deviation of #5 estimate the number of workers whose weekly wages will beMore than#75Less than#63 |
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Answer» Given : The weekly wages of 1000 workmen are NORMALLY distributed around a mean of 70 and a standard deviation of 5 To Find : estimate the NUMBER of workers whose weekly wages will be More than 75 Less than 63 Solution: Mean = 70 SD = 5 Z score = ( VALUE - Mean ) / SD More than 75 => z score = ( 75 - 70)/5 = 1 => 84.13 % less than 75 Hence 15.87 % more than 75 => 1000 * 15.87 /100 = 158.7 = 159 159 workers whose weekly wages will be More than 75 Less than 63 => z score = ( 63 - 70)/5 = -1.4 = 8.08 % less than 63 => 1000 * 8.08 /100 = 80.8 = 81 81 workers whose weekly wages will be Less than 63 Learn More: Assume that adults have iq scores that are normally distributed with ... The value of the cumulative standardized normal distribution at z is ... Use technology or the z-distribution table on pages A-1 to A-2 in the ... |
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