1. The health of employees is measured periodically by weighing them. A random sample of 54 employees has a mean weight of 170 pounds with a standard deviation of 121.2 pounds. Test the claim that the mean weigh for all such employees is less than 200 pounds. significance level 0.05

Hypothesis

Ho:

Ha:

p-value

Conclusion

b. Find a 95% Confidence Interval

Conclusion.

2. TWO MEANSA researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particular diet. Use the sample data below to test the claim that those who followed the diet have a lower mean blood pressure than those who did not followed the diet.

Followed the diet: n1 = 85, 1 = 189.1 s1 = 38.7

Did not follow the diet: n2 = 75, 2 = 203.7 s2 = 39.2

Hypothesis

Ho:

Ha:

p-value

Conclusion

3. Chi-Squared Test of IndependenceTests for the adverse reactions to a new drug yielded the results given in the table.At the 0.05 significance level, test the claim that the treatment is independent of the reaction (headache or no headache experienced).

Drug Placebo

Headache 11 7

No headache 73 91

Hypothesis

Ho:

Ha:

Expected Values

Decision

P value

Conclusion

4. Perform the indicated Goodness of Fit Test.Using the data below and a 0.05 significance level, test the claim that the responses occur with percentages of 15%, 20%, 25%, 25%, and 15% respectfully.

Response A B C D E

Frequency 12 15 16 18 19

Hypothesis

Ho:

Ha:

Expected Values

Decision

5. ANOVA

A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types.Does the data indicate that there is a difference in the mean lifetime of the three brands.

Brand 1 Brand 2 Brand 3

260 181 238

218 240 257

184 162 241

219 218 213

Hypothesis

Ho:.

Ha:

P value

Decision

Conclusion