Question

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 distribution? (Round your answer down to the nearest integer.)

(c)

What is the p-value? (Round your answer to four decimal places.)

Homework Answers

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 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 = 5.8 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.)...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
You may need to use the appropriate technology to answer this question. 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 = 5.2 s2 = 8.6 (a) What is the value of the test statistic? (Use x1 − x2....
Consider the following hypothesis test.                         H0: μ1 - μ2 ≤ 0          &nbs
Consider the following hypothesis test.                         H0: μ1 - μ2 ≤ 0                         Ha: μ1 - μ2 > 0                         n1 = 40,              1 = 25.2,                  σ1    = 5.2                                            n2 = 50,              2 = 22.8,                  σ2   = 6.0             a. What is the value of the test statistic?             b. What is the p-value?             c. With α = 0.05, what is your hypothesis-testing conclusion?
Consider the following hypothesis test. H0: 1 - 2 ≤ 0 Ha: 1 - 2 >...
Consider the following hypothesis test. H0: 1 - 2 ≤ 0 Ha: 1 - 2 > 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 = 25.2 x2 = 22.8 σ1 = 5.2 σ2 = 6.0 a. What is the value of the test statistic (round to 2 decimals)? b. What is the p-value (round to 4 decimals)? Use z-table. c. With = .05,...
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:
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random...
The null and alternate hypotheses are: H0: μ1 ≤ μ2 H1: μ1 > μ2 A random sample of 20 items from the first population showed a mean of 112 and a standard deviation of 16. A sample of 17 items for the second population showed a mean of 97 and a standard deviation of 12. Assume the sample populations do not have equal standard deviations. a) Find the degrees of freedom for unequal variance test. (Round down your answer to...
Given the table below, test the hypothesis that μ1 < μ2 at the α = .05...
Given the table below, test the hypothesis that μ1 < μ2 at the α = .05 level. Coke | n1 = 36 | x--1 = 12.09 | s1 =.11 | Pepsi   | n2 = 36 | x—2 = 12.29 | s2 = .08 |     ​