Perform the following:

a. state the hypotheses and identify the claim.

b. find the critical value

c. compute the test value.

d. make the decisions.

e. summarize the results.

A random sample of enrollments from public institutions of higher learning ( with enrollments under 10,000) iss hown below.

West Midwest Northeast South

3737 5585 9264 3903

3706 8205 4673 4539

2457 4170 7320 2649

4309 5440 5401 6414

4103 3355 6050 2935

5048 4412 4087 7147

2463 5115 1579 3354

8739 8669

2431

At a = 0.10, test the claim that the mean enrollments are the same in all parts of the country.

If the null hypothesis is rejected, use the Scheffe test to test the differences between the means. Assume that the variables are normally distributed, that the samples are independent, and that the population variances are equal.

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