Question

Consider the samples x1=(11,9,9,14,12) and x2=(17,16,3). We wish to test the hypothesis that μ1−μ2=5. Assuming equal...

Consider the samples x1=(11,9,9,14,12) and x2=(17,16,3). We wish to test the hypothesis that μ1−μ2=5. Assuming equal variances if this is supported by the data, what is the appropriate test statistic?

A. -1.3

B. -3.45

C. -1.7

D. -4.1

Homework Answers

Answer #1

necessary calculation table:-

x1 x2 x12 x22
11 17 121 289
9 16 81 256
9 3 81 9
14 sum=36 196 sum=554
12 144
sum=55 sum=623

the pooled standard deviation be:-

the test statistic be:-

*** if you have any doubt regarding the problem please write it in the comment box.if you are satisfied please give me a LIKE if possible...

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the samples x1=(1,1,0,5) and x2=(10,4,12,9,19,22). We wish to test the hypothesis that μ1−μ2≤−2. Assuming equal...
Consider the samples x1=(1,1,0,5) and x2=(10,4,12,9,19,22). We wish to test the hypothesis that μ1−μ2≤−2. Assuming equal variances if this is supported by the data, what is the appropriate test statistic?
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are from independent samples taken from two populations assuming the variances are unequal. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.7 s2 = 8.2 (a) What is the value of the test statistic? (Use x1 − x2.  Round your answer to three decimal places.) (b) What is the degrees of...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.9 s2 = 8.5 (a) What is the value of the test statistic? (Use x1 − x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n1 = 35 n2 = 40 x1 = 13.6 x2 = 10.1 s1 = 5.8 s2 = 8.6 (a) What is the value of the test statistic? (Use x1 − x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t...
Consider the following hypothesis test. H0: μ1 − μ2 ≤ 0 Ha: μ1 − μ2 >...
Consider the following hypothesis test. H0: μ1 − μ2 ≤ 0 Ha: μ1 − μ2 > 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 = 25.7 x2 = 22.8 σ1 = 5.7 σ2 = 6 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.)...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 80 n2 = 70 x1 = 104 x2 = 106 σ1 = 8.4 σ2 = 7.5 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.)...
Consider the following hypothesis statement using a = 0.10 and data from two independent samples: H0:μ1...
Consider the following hypothesis statement using a = 0.10 and data from two independent samples: H0:μ1 – μ2 ≤ 0 H1:μ1 – µ2 > 0 X1 = 86   x2 = 78 Ó1 = 24   Ó2 = 18 N1 = 50   n2 = 55 a) Calculate the appropriate test statistic and interpret the result. b) Calculate the p-value and interpret the result.
4) Test the hypothesis that μ1 ≠ μ2. Two samples are randomly selected from each population....
4) Test the hypothesis that μ1 ≠ μ2. Two samples are randomly selected from each population. The sample statistics are given below. Use α = 0.02. n1 = 51 x1=1 s1 = 0.76 n2 = 38 x2= 1.4 s2 = 0.51 STEP 1: Hypothesis: Ho:________________ vs H1: ________________ STEP 2: Restate the level of significance: ______________________ STEP 4: Find the p-value: ________________________ (from the appropriate test on calc) STEP 5: Conclusion:
H0: μ1 - μ2 = 0 x1 = 81849, x2 = 88021 standard error of x1...
H0: μ1 - μ2 = 0 x1 = 81849, x2 = 88021 standard error of x1 - x2 = 1430 The approximate 95% CI for μ1 - μ2 is  to (_____, ______) The result of the hypothesis test is: a)Reject H0, because the null value is inside the 95% CI. b)Reject H0, because the null value is outside the 95% CI.     c)Fail to reject H0, because the null value is inside the 95% CI. d)Fail to reject H0, because the null...
μ1, μ2, and μ3 are the means of normal distributions with an equal but unknown variance....
μ1, μ2, and μ3 are the means of normal distributions with an equal but unknown variance. Our goal is to test H0: μ1 = μ2 = μ3 vs Ha: at least two μj are different, by taking random samples of size 4 from each distributions. Let x1 = 28, x2 = 46, x3 = 34, and ??x2ij =1038 (a) Construct an ANOVA table. (b) Carry out the 5% significance level test. (c) What is the HSD in this problem?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT