Question

The MINITAB printout shows a test for the difference in two population means. Two-Sample T-Test and...

The MINITAB printout shows a test for the difference in two population means.

Two-Sample T-Test and CI: Sample 1, Sample 2
Two-sample T for Sample 1 vs Sample 2
     N Mean StDev SE Mean
Sample 1 5 29.00 3.00 1.3
Sample 2 7 28.89 3.63 1.4
Difference = mu (Sample 1) - mu (Sample 2)
Estimate for difference: 0.11
95% CI for difference: (-4.3, 4.5)
T-Test of difference = 0 (vs not =):
T-Value = 0.06 P-Value = 0.96 DF = 10
Both use Pooled StDev = 3.39

(a) Do the two sample standard deviations indicate that the assumption of a common population variance is reasonable?

Yes, the ratio of the two variances is less than three.Yes, the ratio of the two variances is more than three.    No, the ratio of the two variances is less than three.No, the ratio of the two variances is more than three.It is not possible to check that assumption with the given information.


(b) What is the observed value of the test statistic?
t =  

What is the p-value associated with this test?
p-value =  

(c) What is the pooled estimate s2 of the population variance? (Round your answer to two decimal places.)
s2 =  

(d) Use the answers to part (b) to draw conclusions about the difference in the two population means. (Use ? = 0.10.)

Since the p-value is greater than 0.10, the results are significant. There is sufficient evidence to indicate a difference in the two population means.Since the p-value is less than 0.10, the results are not significant. There is insufficient evidence to indicate a difference in the two population means.    Since the p-value is less than 0.10, the results are significant. There is sufficient evidence to indicate a difference in the two population means.Since the p-value is greater than 0.10, the results are not significant. There is insufficient evidence to indicate a difference in the two population means.


(e) Find the 95% confidence interval for the difference in the population means.
to  

Does this interval confirm your conclusions in part (d)?

Yes, since 0 falls in the confidence interval, there is sufficient evidence to indicate a difference in the two population means.Yes, since 0 falls in the confidence interval, there is insufficient evidence to indicate a difference in the two population means.    Yes, since 0 falls outside the confidence interval, there is sufficient evidence to indicate a difference in the two population means.No, since 0 falls in the confidence interval, there is sufficient evidence to indicate a difference in the two population means.No, since 0 falls outside the confidence interval, there is insufficient evidence to indicate a difference in the two population means

Homework Answers

Answer #1

(a)

Correct option:

Yes, the ratio of the two variances is less than three.

(b) Observed test statistic is:

t = 0.06

p-value = 0.96

(c) s2 = 3.392 = 11.4921

(d)

Correct option:

Since p-value is greater than 0.10 the results are not significant. There is insufficient evidence to indicate a difference in the two population means.

(e)

95% Confidence interval for the difference in the population means:

(-4.3,4.5)

Correct option:

Yes, since 0 falls in the confidence interval, there is insufficient evidence to indicate difference in population means.

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
Hypothesis Test for the Difference in Population Means (σσ  Unknown) You wish to test the following claim...
Hypothesis Test for the Difference in Population Means (σσ  Unknown) You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.       Ho:μ1=μ2Ho:μ1=μ2       Ha:μ1>μ2Ha:μ1>μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. Let's assume that the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 60 62.8 60.2 48.5 61.8 52.7 65.1 66.3 71.4 72.2 63.8 59.5 70.5 58.3 79.6 57.4...
Consider two independent random samples of sizes n1 = 14 and n2 = 10, taken from...
Consider two independent random samples of sizes n1 = 14 and n2 = 10, taken from two normally distributed populations. The sample standard deviations are calculated to be s1= 2.32 and s2 = 6.74, and the sample means are x¯1=-10.1and x¯2=-2.19, respectively. Using this information, test the null hypothesis H0:μ1=μ2against the one-sided alternative HA:μ1<μ2, using the Welch Approximate t Procedure (i.e. assuming that the population variances are not equal). a) Calculate the value for the t test statistic. Round your...
A random sample of 49 measurements from one population had a sample mean of 16, with...
A random sample of 49 measurements from one population had a sample mean of 16, with sample standard deviation 3. An independent random sample of 64 measurements from a second population had a sample mean of 18, with sample standard deviation 4. Test the claim that the population means are different. Use level of significance 0.01. (a) What distribution does the sample test statistic follow? Explain. The Student's t. We assume that both population distributions are approximately normal with known...
To perform a test of the null and alternative hypotheses shown below, random samples were selected...
To perform a test of the null and alternative hypotheses shown below, random samples were selected from the two normally distributed populations with equal variances. The data are shown below. Test the null hypothesis using an alpha level equal to 0.10. Sample from Population 1: 38,28,28,39,39,33,29,37,43,38 Sample from Population 2: 45,53,37,47,44,38,43,46,46,41 H0: ?1 ? ?2 = 0 HA: ?1 – ? ? 0 Determine the rejection region for the test statistic t. Select the correct choice below and fill in...
Confidence Interval for 2-Means (2 Sample T-Interval) Given two independent random samples with the following results:...
Confidence Interval for 2-Means (2 Sample T-Interval) Given two independent random samples with the following results: n1=11 n2=17 x1¯=118 x2¯=155 s1=18 s2=13 Use this data to find the 99% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Round values to 2 decimal places. Lower and Upper endpoint?
A random sample of n1 = 49 measurements from a population with population standard deviation σ1...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1 = 5 had a sample mean of x1 = 11. An independent random sample of n2 = 64 measurements from a second population with population standard deviation σ2 = 6 had a sample mean of x2 = 14. Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain....
26. Consider the following statements. (i). If we are testing for the difference between two population...
26. Consider the following statements. (i). If we are testing for the difference between two population means, it is assumed that the sample observations from one population are independent of the sample observations from the other population. (ii). If we are testing for the difference between two population means, it is assumed that the two populations are approximately normal and have equal variances. (iii). The critical value of t for a two-tail test of the difference of two means, a...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1 = 5 had a sample mean of x1 = 8. An independent random sample of n2 = 64 measurements from a second population with population standard deviation σ2 = 6 had a sample mean of x2 = 11. Test the claim that the population means are different. Use level of significance 0.01.(a) Check Requirements: What distribution does the sample test statistic follow? Explain. The...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1...
A random sample of n1 = 49 measurements from a population with population standard deviation σ1 = 3 had a sample mean of x1 = 13. An independent random sample of n2 = 64 measurements from a second population with population standard deviation σ2 = 4 had a sample mean of x2 = 15. Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain....
Is the proportion of wildfires caused by humans in the south lower than the proportion of...
Is the proportion of wildfires caused by humans in the south lower than the proportion of wildfires caused by humans in the west? 372 of the 502 randomly selected wildfires looked at in the south were caused by humans while 395 of the 510 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the  = 0.10 level of significance? For this study, we should use t-test for a population, mean t-test for the difference...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT