Question

Practice Statistic Final for Spring 201 9 A Name: Do 1, 4, 5, 6,7 Or 2, 3, 5, 6, 7 ONE PROPORTION rowning deaths of children attributed to beaches is given as 0.25. wring deaths of children has 30% attributed to beaches. 3. The proportion of dro Test the claim that drowning deaths of children attributed to b. Give a 95% Confidence Interval and the EBP. Hypothesis Ho 5 points. 3 points На: p-value Conclusion 6 points b. Give a 95% confidence interval. Confidence 5 points. Interval 5 points ЕВР Conclusion. 6 points TWO PROPORTIONS In a random sample of 360 women, 65% favored stricter gun control laws. I a random sample of 220 men, 60% favored stricter gun control laws. Test the claim that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control. Hypothesis Ho: 4. 5 points. На: 4 points. value Conclusion 6 points. Practice Statistic Final for Spring 2019 A Name: Do 1, 4,5, 6,7 Or 2, 3, 5, 6,7 ONE MEAN 1. The health of employees is measured periodically by wei employees has a mean weight of 170 pounds with a standa Test the claim that the 4 ghing them. A random sample of s e mean weigh for all such employees is less than 200 pounds 5 points 3 points Hypothesis Ho: Ha: p-value Conclusion points 6 BM b. Find a 95% Confidence lnter Confidence Interval. and give the val 5 points 5 points EBM Conclusion. 6 points. TWO MEANS A 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 2. did not followed the diet. Followed the diet: n1-85, 189.1 s 38.7 Did not follow the diet: n2-75, 3-203.7 S2-39.2 Hypothesis Ho: На: 5 points. 4 points. p-value Conclusion 6 points. Practice Statistic Final for Spring 2019 A Name: Do 1,4,5,6,7 Or 2, 3, 5, 6,7 5. Chi-Squared Test of Independence Tests 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) DrugPlacebo Headache No headache 91 73 Ho: Hypothesis a: 5 points. Expected Values 5 points Decision 5 points Conclusion 5 points. Perform the indicated Goodness of Fit Test. 6. Using the data below and a 0.05 significance level, test the claim that the responses with percentages of 15%, 20%, 25%, 25%, and 15% respectfully occur Response-la- B- C - D E Frequency 12 15 16 18 19 HypothesisHo На: 5 points Expected Values 5 points. Decision 5 points. Conclusion 5 points. Practice Do 1, 4, 5, 6,7 Or 2, 3, 5, 6,7 ANOVA. . A consumer magazine wants to compare the lifetimes of ballipoint pens of three different types Brand 1 Brand 2 Brand 3 181 260 238 240 257 218 1184 |162 219 218 213 Does the data indicate that there is a difference in the mean lifetime of the three brands. 241 Hypothesis Ho: На: 5 points. Decision 5 points. Conclusion 5 points.

Answer 1

7) Here we have data:

Brand 1	Brand 2	Brand 3
260	181	238
218	240	257
184	162	241
219	218	213

Here we are using Excel for calculation:

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Column 1	4	881	220.25	966.9167
Column 2	4	801	200.25	1242.9167
Column 3	4	949	237.25	330.9167
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	2744	2	1372	1.6200	0.2507	4.2565
Within Groups	7622.25	9	846.9167
Total	10366.25	11

Hypothesis:

H_o; μ₁ = μ₂ = μ₃

H_a; At least one mean is difference from others.

Decision :

Fail to reject the null hypothesis

Conclusion:

Here we have not sufficient evidence to reject the null hypothesis F-observed value is less than F-critical value and P-value is grater than Alpha value.

We can say that yes: All the three brand mean life is same.

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