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A study conducted on the annual incomes of Teachers in the state of California in metropolitan areas having a population less than 100,000 and in metropolitan areas having a population over 500,000. Some sample statistics are:
SAMPLE STATISTIC
POPULATION LESS THAN 100K
POPULATION MORE THAN 500K
Sample Size
45
60
Sample mean
$46,289
$53,2750
Sample SD
$1,060
$1,900
Test the hypothesis that the annual incomes of Teachers in areas of more than 500,000 are significantly more than those in areas of less than 100,000. Use the 5% level of risk.
At α = 0.05, is the correctness of the prediction different for the two types of cola drinkers?
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