Question

Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used.

Find the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40.

Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places.

Answer 1

Using the t-distribution, it is found that the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40 is of 0.083.

How to find a proportion in a t-distribution?

The proportion is found using a calculator, with three inputs:

• The tail of the test, if it is left, right, or two-tailed.

• The test statistic.

• The amount of degrees of freedom.

In this problem, we have a left-tailed proportion, as we want the proportion that is less than a value, with test statistic t = -1.4 and 30 + 40 - 2 = 68 df, hence the proportion is of 0.083.

More can be learned about the t-distribution at https://brainly.com/question/16162795

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