Stats

Chapter 12 & 13 Activity Write up each test using the standard 5-step procedure. There is one of each of the following four tests: Goodness of Fit, Independence, ANOVA, Kruskal-Wallis 1) Does amount of education play a role in the healthiness of an individual? A random sample of individuals were asked to rate their health. Here are the results, broken down by level of education. Test the claim that health is independent of level of education at the 0.05 level of significance.

Excellent Good Poor Less Than High School 72 202 62 High School Grads 465 877 108 College Grads 439 561 25

Step 1

H0:

H1:

Step 2

α

Step 3

Test:

Step 4

Test Statistic:

P-value:

Step 5

Decision about H0:

Conclusion about H1:

2) A researcher plans soybeans in three types of plots: Liberty, No till, and Chisel plowed. The data represent the number of pods on a random sample of soybean plants for the three plot types. At the 0.05 level of significance, test the claim that the mean number of pods is the same for all 3 plot types. Plot Type Pods Liberty 32 31 36 35 41 34 39 37 38 No till 34 30 31 27 40 33 37 42 39 Chisel plowed 34 37 24 23 32 33 27 34 30

3) According to the manufacturer of M&Ms, 13% of the plain M&Ms in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomly selected a bag of plain M&Ms. He counted the number of M&Ms that were each color and obtained the results shown in the table. Test the claim that plain M&Ms follow the distribution stated by M&M/Mars at the 0.05 level of significance.

Color Brown Yellow Red Blue Orange Green Frequency 61 64 54 61 96 64

4) Here are the scores of randomly selected students on the Math 200, 230, and 21 finals. Use the 0.05 level of significance to test the claim that all 3 exams produce the same mean score. Math 200 38 42 55 64 73 80 95 Math 230 65 74 77 83 85 90 Math 21 80 82 85 89 94