Question

Given two dependent random samples with the following results: Population 1 69 55 53 56 59...

Given two dependent random samples with the following results:

Population 1 69 55 53 56 59 74 76 71
Population 2 75 53 58 53 64 77 72 77

Can it be concluded, from this data, that there is a significant difference between the two population means?

Let d=(Population 1 entry)−(Population 2 entry)d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.02  for the test. Assume that both populations are normally distributed.

Step 1 of 5: State the null and alternative hypotheses for the test.

Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to one decimal place.

Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places.

Step 4 of 5: Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to three decimal places.

Step 5 of 5: Make the decision for the hypothesis test. Reject or Fail to reject Null Hypothesis.

Homework Answers

Answer #1

step 1:

null Hypothesis:μd = 0
alternate Hypothesis: μd 0

Step 2 of 5:

Std deviaiton SD=√(Σd2-(Σd)2/n)/(n-1) = 4.3

Step 3 of 5: Compute the value of the test statistic =-1.316 (please try -1.323 if this comes wrong and reply)

Step 4 of 5 :

Decision rule: reject Ho if absolute value of test statistic |t|>2.998

Step 5 of 5: fail to reject ho

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
Given two dependent random samples with the following results: Population 1 59 57 77 60 59...
Given two dependent random samples with the following results: Population 1 59 57 77 60 59 64 72 67 Population 2 61 53 84 53 69 74 64 73 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d=(Population 1 entry)−(Population 2 entry)d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.01α=0.01 for the test. Assume that both populations are normally distributed. Copy Data Step 1 of 5: State...
Given two dependent random samples with the following results: Population 1 81 59 57 84 52...
Given two dependent random samples with the following results: Population 1 81 59 57 84 52 62 65 80 Population 2 85 53 66 82 54 64 57 84 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.02 for the test. Assume that both populations are normally distributed. Step 2 of 5: Find the value of the standard deviation...
Given two dependent random samples with the following results: Population 1 77 64 60 71 56...
Given two dependent random samples with the following results: Population 1 77 64 60 71 56 56 62 55 Population 2 84 54 68 61 60 63 60 63 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d=(Population 1 entry)−(Population 2 entry)d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.1α=0.1 for the test. Assume that both populations are normally distributed. Step 3 of 5 :  Compute the value...
Given two dependent random samples with the following results: Population 1 62 60 71 67 63...
Given two dependent random samples with the following results: Population 1 62 60 71 67 63 64 80 65 Population 2 64 54 79 62 72 72 73 75 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.1 for the test. Assume that both populations are normally distributed. Step 1 of 5: State the null and alternative hypotheses for...
Given two dependent random samples with the following results: Population 1 58 76 77 70 62...
Given two dependent random samples with the following results: Population 1 58 76 77 70 62 76 67 76 Population 2 64 69 83 60 66 84 60 81 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.01 for the test. Assume that both populations are normally distributed. Step 1 of 5: State the null and alternative hypotheses for...
Given two dependent random samples with the following results: Population 1 70 69 60 60 59...
Given two dependent random samples with the following results: Population 1 70 69 60 60 59 54 62 68 Population 2 79 59 66 52 66 59 55 70 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d=(Population 1 entry)−(Population 2 entry)d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.02α=0.02 for the test. Assume that both populations are normally distributed. Copy Data Step 1 of 5 :  ...
Given two dependent random samples with the following results: Population 1 54 83 68 66 62...
Given two dependent random samples with the following results: Population 1 54 83 68 66 62 60 70 62 Population 2 59 74 76 64 64 69 67 64 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d=(Population 1 entry)−(Population 2 entry) . Use a significance level of α=0.01 for the test. Assume that both populations are normally distributed. Step 1 of 5: State the null and alternative hypotheses...
Given two independent random samples with the following results: n1=573, p^1=0.5  n2=454, pˆ2=0.6 Can it be...
Given two independent random samples with the following results: n1=573, p^1=0.5  n2=454, pˆ2=0.6 Can it be concluded that the proportion found in Population 2 exceeds the proportion found in Population 1?  Use a significance level of α=0.1α=0.1for the test. Step 1 of 5: State the null and alternative hypotheses for the test. Step 2 of 5: Compute the weighted estimate of p, p‾p‾. Round your answer to three decimal places. Step 3 of 5: Compute the value of the test statistic....
Given two independent random samples with the following results: n1 = 226 ^p1 = 0.55 n2...
Given two independent random samples with the following results: n1 = 226 ^p1 = 0.55 n2 = 444 ^p2 = 0.63 Can it be concluded that the proportion found in Population 2 exceeds the proportion found in Population 1?  Use a significance level of α=0.1 for the test. Step 1 of 5: State the null and alternative hypotheses for the test. Step 2 of 5: Compute the weighted estimate of p, p‾. Round your answer to three decimal places. Step 3...
Given two independent random samples with the following results: n1=653   x1=355      n2=597 x2=201 Can it...
Given two independent random samples with the following results: n1=653   x1=355      n2=597 x2=201 Can it be concluded that there is a difference between the two population proportions? Use a significance level of α=0.05 for the test. Step 1 of 6: State the null and alternative hypotheses for the test. Step 2 of 6: Find the values of the two sample proportions, p^1 and p^2. Round your answers to three decimal places. Step 3 of 6: Compute the weighted estimate...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT