Question

The following statistics were calculated from two random samples taken from two populations following a normal...

The following statistics were calculated from two random samples taken from two populations following a normal distribution: S1^2=350, n1=30, S2^2=700, n2=30

1. Can you infer that the two parent variances are different at a 5% significance level?

2. If the number of samples is n1 = 15 and n2 = 15, repeat question 1.

3. Describe what happens to the test statistic when the number of samples decreases.

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
Exercise 2. The following information is based on independent random samples taken from two normally distributed...
Exercise 2. The following information is based on independent random samples taken from two normally distributed populations having equal variances: Sample 1 Sample 2 n1= 15 n2= 13 x1= 50 x2= 53 s1= 5 s2= 6 Based on the sample information, determine the 90% confidence interval estimate for the difference between the two population means.
Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​...
Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​ t-test and the pooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x1= 19, s1= 3, n1= 12, x2= 15, s2= 2, n2=13 a. What are the correct hypotheses for a​ left-tailed test? b. Compute the test statistic. c. Determine the​ P-value. d. The 90​% confidence interval is from _____ to _______ ?
Consider the test of the claims that the two samples described below come from two populations...
Consider the test of the claims that the two samples described below come from two populations whose means are equal vs. the alternative that the population means are different. Assume that the samples are independent simple random samples and that both populations are approximately normal with equal variances. Use a significance level of α=0.05 Sample 1: n1=18, x⎯⎯1=28, s1=7 Sample 2: n2=4, x⎯⎯2=30, s2=10 (a) Degrees of freedom = (b) The test statistic is t =
The following results are for independent random samples taken from two populations. Sample 1 Sample 2...
The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 = 32.2 x2 = 30.1 s1 = 2.6 s2 = 4.3 (a) What is the point estimate of the difference between the two population means? (b) What is the degrees of freedom for the t distribution? (c) At 95% confidence, what is the margin of error? (d) What is the 95% confidence interval for the difference between...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1=41, n2=44, x¯1=52.3, x¯2=77.3, s1=6 s2=10.8 Find a 96.5% confidence interval for the difference μ1−μ2 of the means, assuming equal population variances. Confidence Interval =
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1=51,n2=36,x¯1=56.5,x¯2=75.3,s1=5.3s2=10.7n1=51,x¯1=56.5,s1=5.3n2=36,x¯2=75.3,s2=10.7 Find a 97.5% confidence interval for the difference μ1−μ2μ1−μ2 of the means, assuming equal population variances. Confidence Interval =
rovided below are summary statistics for independent simple random samples from two populations. Use the pooled​...
rovided below are summary statistics for independent simple random samples from two populations. Use the pooled​ t-test and the pooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. X1=20, S1=6, N1=21, X2=22, S2=7, N2= 15 Left tailed test, a=.05 90% confidence interval The 90% confidence interval is from ____ to ____
In order to compare the means of two normal populations, independent random samples are taken of...
In order to compare the means of two normal populations, independent random samples are taken of sizes n1 = 400 and n2 = 400. The results from the sample data yield: Sample 1 Sample 2 sample mean = 5275 sample mean = 5240 s1 = 150 s2 = 200 To test the null hypothesis H0: µ1 - µ2 = 0 versus the alternative hypothesis Ha: µ1 - µ2 > 0 at the 0.01 level of significance, the most accurate statement...
The following results are for independent random samples taken from two populations. Sample 1 Sample 2...
The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n2 = 30 x1 = 22.8 x2 = 20.1 s1 = 2.6 s2 = 4.6 (a) What is the point estimate of the difference between the two population means? (Use x1 − x2. ) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) At 95% confidence, what is the margin...
The following results are for independent random samples taken from two populations. Sample 1 Sample 2...
The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n2 = 30 x1 = 22.5 x2 = 20.1 s1 = 2.2 s2 = 4.6 (a) What is the point estimate of the difference between the two population means? (Use x1 − x2. ) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) At 95% confidence, what is the margin...