Question 1072430
The sample size is 100 / 2500 = 1/25 of the population which is a significant proportion of the population.
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a) the mean of the sample  is the same as the population mean which is 3.2
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b) the standard deviation of the sampling distribution(SE) is calculated with the following formula
:
standard error(SE) = (0.5 / square root(100)) * square root( (2500 - 100) / (2500 - 1))
:
SE = 0.0495
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c) since the population distribution is skewed, we need sample size > 40 to ensure that the sample distribution approximates a normal distribution
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