Question

Consider the hypothesis test with null hypothesis µ1=µ2 and alternative hypothesis µ1 > µ2. Suppose that...

Consider the hypothesis test with null hypothesis µ1=µ2 and alternative hypothesis µ1 > µ2. Suppose that sample sizes n1 = 10 and n2 =10, that the sample means are 7.8 and 5.6 respectively, and that the sample variances are 4 and 9 respectively. Assume that the population variances are equal and that the data are drawn from normal distributions.

a) Test the hypothesis that at α= 0.05 and provide a conclusion statement

b) Provide an adequate confidence interval with 95% confidence level.

c) Do your answers in a) and b) coincide? Explain.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...
Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. A study was done on body temperatures of men and women. Here are the sample statistics for the men: x1 = 97.55oF, s1 = 0.83oF, n1 = 11, and for the women: x2 = 97.31oF, s2 = 0.65oF, n2 = 59. Use a 0.06 significance level to test the claim that µ1 > µ2.
In another study if the alternative hypothesis is µ1 < µ2 and you conclude in favor...
In another study if the alternative hypothesis is µ1 < µ2 and you conclude in favor of the alternative hypothesis in words what you conclude? The above alternative hypoethesis would be Nondirection al hypothesis Directional hypothesis Generally, the larger the samples, the smaller the standard errors become, increasing the likihood of finding statistical signficance. This statement is Calculating the standard error of the difference between means depends on the standard deviations as well as the sample sizes between the groups,...
Use the following for question 1, 2, and 3. Consider the following hypothesis test: H0: µ1...
Use the following for question 1, 2, and 3. Consider the following hypothesis test: H0: µ1 – µ2 = 0 Ha: µ1 – µ2 ≠ 0 The following results are from samples from two populations. Sample 1 Sample 2 sample size 12 15 sample mean 13 10 sample std. dev. 5 8 1) What is the estimate of the difference between the two population means? Use Sample1 – Sample2? 2) What is the value of the test statistic? Give your...
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 6...
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 6 from two normally distributed populations having means µ1 and µ2, and suppose we obtain x¯1  = 240 , x¯2  =  208 , s1 = 5, s2 = 5. Use critical values to test the null hypothesis H0: µ1 − µ2 < 22 versus the alternative hypothesis Ha: µ1 − µ2 > 22 by setting α equal to .10, .05, .01 and .001. Using the...
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 7...
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 7 from two normally distributed populations having means µ1 and µ2, and suppose we obtain x¯1  = 240 , x¯2  =  210 , s1 = 5, s2 = 6. Use critical values to test the null hypothesis H0: µ1 − µ2 < 20 versus the alternative hypothesis Ha: µ1 − µ2 > 20 by setting α equal to .10, .05, .01 and .001. Using the...
Suppose we have taken independent, random samples of sizes n1 = 8 and n2 = 8...
Suppose we have taken independent, random samples of sizes n1 = 8 and n2 = 8 from two normally distributed populations having means µ1 and µ2, and suppose we obtain x¯1  = 227, x¯2  =  190 , s1 = 6, s2 = 6. Use critical values to test the null hypothesis H0: µ1 − µ2 < 27 versus the alternative hypothesis Ha: µ1 − µ2 > 27 by setting α equal to .10, .05, .01 and .001. Using the equal...
Power and sample size determination for one-way ANOVA 1. If µ1 = 12, µ2 = 13,...
Power and sample size determination for one-way ANOVA 1. If µ1 = 12, µ2 = 13, µ3 = 18 and µ4 = 21 with s e = 5, what is the power of the test when n1 = 2, n2 = 3, n3 = 3 and n4 = 2 and a = .05? 2. If µ1 = 12, µ2 = 13, µ3 = 18 and µ4 = 21 with s e = 5, what is the power of the test...
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 8...
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 8 from two normally distributed populations having means µ1 and µ2, and suppose we obtain x¯1  = 229x¯1⁢  = 229, x¯2  =  190x¯2⁢  =⁢  190, s1 = 6, s2 = 6. Use critical values to test the null hypothesis H0: µ1 − µ2 < 28 versus the alternative hypothesis Ha: µ1 − µ2 > 28 by setting α equal to .10, .05, .01 and .001....
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 7...
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 7 from two normally distributed populations having means µ1 and µ2, and suppose we obtain x⎯⎯1= 240x¯1⁢  = 240 , x⎯⎯2=210x¯2⁢  =⁢  210 , s1 = 5, s2 = 6. Use critical values to test the null hypothesis H0: µ1− µ2 < 20 versus the alternative hypothesis Ha: µ1 − µ2 > 20 by setting α equal to .10, .05, .01 and .001. Using the...
Consider the hypothesis test H0: = against H0: > . Suppose that the sample sizes are...
Consider the hypothesis test H0: = against H0: > . Suppose that the sample sizes are n1 = 20 and n2 = 8, and that = 4.5 and = 2.3. Use α = 0.01. Test the hypothesis and explain how the test could be conducted with a confidence interval on σ1/σ2. Refer the question above test the hypothesis and provide your conclusion. At the alpha = 0.01, we fail to reject and conclude that the variances are the same At...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT