Use α = 0.02. Find the 98% confidence interval for the difference of the two means.?
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A sample of 15 teachers from Rhode Island has an average salary of $35,270, with a standard deviation of $3256. A sample of 20 teachers from New York has an average salary of $29,512, with a standard deviation of $1432. Is there a significant difference in teachers' salaries between the two states? Use α = 0.02. Find the 98% confidence interval for the difference of the two means.
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Answer:
The 98% confidence interval is (3462.8, 8053.2) or from $3,462.80 to $8,053.20 This concludes that there is a significant difference between the teachers' salaries of the two states because 0 is not within the interval.
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