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.A resident of Wisconsin is considering a move to South Dakota, but is concerned that the...

.A resident of Wisconsin is considering a move to South Dakota, but is concerned that the average per capita income for South Dakota residents may be lower than for residents in Wisconsin. A random sample of workers from each state indicated the following sample statistics. At the 5% significance level, can it be concluded that South Dakota has a lower average per capita income than Wisconsin?

x1= 38750. x2= 40,275. S1 12500, s2= 10500. N1 = 45. N1= 60

Is this a left-, right-, or two-tailed nonpooled t-test?

Compute the value of the test statistic for the nonpooled t-test. Round to one decimal place.

Should we reject the null hypothesis?

Fill in the blank. At the 5% significance level, the data ________________ (do/ do not) provide sufficient evidence that the mean per capita income in South Dakota is less than that in Wisconsin.

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