Among two independent random samples, one from city schools and one from rural schools, the following...

Among two independent random samples, one from city schools and one from rural schools, the
following sample statistics were computed for the amount of Instructional Spending per student
(in thousands of dollars). Assume the unknown population variances are equal to answer the
following questions.

City
Schools Rural Schools

Sample Means 5.16 5.93
Sample Sizes 35 42
Sample Variances 3.1 4.06

a. Construct a 90% confidence interval (α = 10%) for the difference between the two
sample means. Show the Margin of Error (ME) the Lower Confidence Limit (LCL) and
Upper Confidence Limit (UCL).

b. Test the null hypothesis that the two sample means are equal versus the alternative
hypothesis that the means are not equal at a 95% confidence level (α=5%). Show your
test statistic, decision criteria, and state your conclusion.

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Expert Solution

orchestra answered 1 year ago

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