Question

A sample of 60 items from population 1 has a sample variance of 18 while a...

A sample of 60 items from population 1 has a sample variance of 18 while a sample of 40 items from population 2 has a sample variance of 10. If we test whether the variances of the two populations are equal, the test statistic will have a value of

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution:

When the variance of the two populations are equal, the test statistic is based on F-distribution.

F = 18/10

F = 1.8

Hence, the test statistic will have a value of 1.80.

Add a comment
Know the answer?
Add Answer to:
A sample of 60 items from population 1 has a sample variance of 18 while a...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A sample of 16 items from population 1 has a sample variance s = 5.5 and...

    A sample of 16 items from population 1 has a sample variance s = 5.5 and a sample of 17 items from population 2 has a sample variance s = 2.3. Test the following hypotheses at the .05 level of significance. H: <o H:01 > a. What is your conclusion using the p-value approach? Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer . Use Table 11.1. What is your conclusion? 1...

  • 3. You have two independent random samples: XiXX from a population with mean In and variance σ2 a...

    3. You have two independent random samples: XiXX from a population with mean In and variance σ2 and Y, Y2, , , , , Y,n from a population with mean μ2 and variance σ2. Note that the two populations share a common variance. The two sample variances are Si for the first sample and Si for the second. We know that each of these is an unbiased estimator of the common population variance σ2, we also know that both of...

  • Suppose population 1 has mean with variance σ2 and population 2 has mean μ2 with the...

    Suppose population 1 has mean with variance σ2 and population 2 has mean μ2 with the same variance σ. Let sỈ and s denote the sample variances from two samples with size ni and n2 from the corresponding populations, respectively. Show that the pooled estimator pooled is an unbiased estimator of σ2

  • A sample of 16 observations selected from a population produced a mean of 82 and a...

    A sample of 16 observations selected from a population produced a mean of 82 and a standard deviation of 14. Another sample of 18 observations selected from another population produced a mean of 75 and a standard deviation of 16. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The alternative hypothesis is that the mean of the first population is greater than the mean of the second population. The significance...

  • Let X1,..,X40 be a random sample from a population with mean H1 and variance o 1-2.56,...

    Let X1,..,X40 be a random sample from a population with mean H1 and variance o 1-2.56, and let Y1, Y32 be a random sample from a population with mean 2 and variance of 2-1.96, and that Xand y samples are independent of one another. Assume the sample mean values are X-18 and y-17, and we want to test Ho: μ 1-μ 2-0 versus Ha: μ 1-u2 > 0, which of the following statements are correct? O Ho is rejected at...

  • You are given two independent random samples from two populations. For Sample #1, there are 60...

    You are given two independent random samples from two populations. For Sample #1, there are 60 observations, the sample mean is 33.8 and you are given that the populationstandard deviation is 5.5 For Sample #2, there are 35 observations, the sample mean is 31.8 and you are given that the populationstandard deviation is 4.1 You are asked to test the null hypothesis that the two population have the same mean (the difference in population means is 0). What is the...

  • I. Suppose population 1 has mean μ1 with variance σ2 and population 2 has mean μ2...

    I. Suppose population 1 has mean μ1 with variance σ2 and population 2 has mean μ2 denote the sample variances from two samples with the same variance σ2 Let s and s with size n and n2 from the corresponding populations, respectively. Show that the pooled estimator pooled n1 2 - 2 is an unbiased estimator of σ2

  • For four populations, the population variances are assumed to be equal. Random samples from each population...

    For four populations, the population variances are assumed to be equal. Random samples from each population provide the following data. Population Sample Size Sample Mean Sample Variance 1 11 40 23.4 2 11 35 21.6 3 11 39 25.2 4 11 37 24.6 Using a .05 level of significance, test to see if the means for all four populations are the same.

  • I. Suppose population 1 has mean μί with variance σ2 and population 2 has mean μ2...

    I. Suppose population 1 has mean μί with variance σ2 and population 2 has mean μ2 with the same variance σ2. Let s and s denote the sample variances from two samples with size ni and n2 from the corresponding populations, respectively. Show that the pooled estimator 1i+(2-1)si pooled ni + n2 -2 is an unbiased estimator of σ2.

  • The following observations are from two independent random samples, drawn from normally distribut...

    The following observations are from two independent random samples, drawn from normally distributed populations. Sample 1 9.74, 9.04, 8.06, 6.09, 7.51 Sample 2 |[25.96, 26,27, 26,34, 39.09, 33.88, 28.87, 33.46] We are interested in testing the null hypothesis that the two population variances are equal, against the one-sided alternative that the variance of Population 1 is larger than the variance of Population 2. Define Population 1 to be the population with the larger sample variance a) What are the appropriate...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT