4. Consider the following results for two independent random samples taken from twopopulations. Assume that the variances are not equal.Population 1Population 2Sample size, nSample mean,50503530784100Sample variance, 5. In Question 4 above, we made the assumption that the variances of the two populations werenot equal. We want to perform a hypothesis test to determine whether or not this is a validassumption. Answer the following four questions:a) What are the null and alternative hypotheses to run this test?a. Họ: S / S =|1 ; H1: S / S #1b. Ho: 어/o=1; Hi: 어 /o>1c. Họ: o / o = 1; H1: of /o #1d. Ho: o/0=0; H1: 어/0 +0e. none of the aboveb) What is the calculated value of the test statistic?a. 7.84b. 1.17с. 5.00d. .883e. none of the above2c)What is the conclusion of the hypothesis test, at the 5% significance level?a. Reject the null since p-value > a, variances are not equal. Assumption in Problem4 is correctb. Accept the null since p-value > a, variances are equal. Assumption in Problem 4is incorrect.c. Do not reject the null since p-value < a, variances are equal. Problem 4assumption is incorrect.d. Reject the null since p-value < a, variances are not equal. Problem 4 assumptionis correct.e. none of the above.

Name: 4. Consider the following results for two independent random samples
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 4. Consider the following results for two independent random samples taken from twopopulations. Assume that the variances are not equal.Population 1Population 2Sample size, nSample mean,50503530784100Sample variance, 5. In Question 4 above, we made

Answered: Image /qna-images/answer/2688841d-b6aa-4815-be97-9caeae818fcb.jpg

Math

Statistics

In Question 4 above, we made the assumption that the variances of the two populations were not equal. We want to perform a hypothesis test to determine whether or not this is a valid assumption. Answer the following four questions: What are the null and alternative hypotheses to run this test? a. Ho: S / S =|l ; H1: S / S, # 1 b. Họ: o /o =1; H1: o lo >1 c. Ho: ० /0 = 1; H1: ০ /o #1 d. Họ: o /o = 0 ; H1: of lo #0 e. none of the above What is the calculated value of the test statistic? a. 7.84 b. 1.17 c. 5.00 d. .883 e. none of the above 2 What is the conclusion of the hypothesis test, at the 5% significance level? a. Reject the null since p-value > a, variances are not equal. Assumption in Problem 4 is correct b. Accept the null since p-value > a, variances are equal. Assumption in Problem 4 is incorrect. c. Do not reject the null since p-value < a, variances are equal. Problem 4 assumption is incorrect. d. Reject the null since p-value < a, variances are not equal. Problem 4 assumption is correct. e. none of the above.

In Question 4 above, we made the assumption that the variances of the two populations were not equal. We want to perform a hypothesis test to determine whether or not this is a valid assumption. Answer the following four questions: What are the null and alternative hypotheses to run this test? a. Ho: S / S =|l ; H1: S / S, # 1 b. Họ: o /o =1; H1: o lo >1 c. Ho: ० /0 = 1; H1: ০ /o #1 d. Họ: o /o = 0 ; H1: of lo #0 e. none of the above What is the calculated value of the test statistic? a. 7.84 b. 1.17 c. 5.00 d. .883 e. none of the above 2 What is the conclusion of the hypothesis test, at the 5% significance level? a. Reject the null since p-value > a, variances are not equal. Assumption in Problem 4 is correct b. Accept the null since p-value > a, variances are equal. Assumption in Problem 4 is incorrect. c. Do not reject the null since p-value < a, variances are equal. Problem 4 assumption is incorrect. d. Reject the null since p-value < a, variances are not equal. Problem 4 assumption is correct. e. none of the above.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A researcher wonders if a “majority” of all residents of a particular city were in favor of a newly proposed city ordinance. Her hypotheses are H0: p = 0.5 versus Ha: p > 0.5. She collected data from a large enough random sample of residents (in order to use the normal approximation), and the resulting sample proportion was 0.41. The researcher has a few interns working on this project and has asked them to conduct the appropriate test and report an approximate p-value. Unfortunately, she received three different p-values from her interns: Chris reported a p-value of 0.08 Jamie reported a p-value of 0.41 Taylor reported a p-value of 0.62 A. Which of her interns reported a reasonable p-value? Explain. Hint: The precise p-value cannot be computed here, but you can eliminate interns' guesses. B. Use the p-value from part (a) to determine if a majority of all residents of the city were in favor of a newly proposed city ordinance.
1. Independent random samples of 80 measurements were drawn from two quantitative populations, 1 and 2. Here is a summary of the sample data: Sample 1 Sample 2 Sample Size 80 80 Sample Mean 11.6 9.7 | Sample variance 27.9 38.4 a. If your research objective is to show that Hi is larger than 42, state the alternative and the null hypotheses that you would choose for a statistical test. b. Calculate the test statistic that you would use for the test in part a. Based on your knowledge of the standard normal distribution, is this a likely or unlikely observation, assuming that Ho is true and the two population means are the same? c. p-value approach: Find the p-value for the test. Test for a significant difference in the population means at the 1% significance level. d. Critical value approach: Find the rejection region when a =0.01. Do the data provide sufficient evidence to indicate a difference in the population means?
Chapter 9: Hypothesis Tests for a Single Population Proportion Score: 4/14 4/14 answered Question 1 Test the claim that the proportion of men who own cats is smaller than 20% at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p > 0.2 Ho:p= 0.2 Ho:p 0.2 H1:p 0.2 H1:µ 7 0.2 H1:µ > 0.2 H1:p< 0.2 The test is: two-tailed left-tailed right-tailed Based on a sample of 600 people, 15% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis Question Help: Message instructor Submit Question ch
You wish to test the following claim (Ha) at a significance level of a 0.01. Ho: 41 Ha: µ1 # µ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 Sample #2 52.4 66.6 56.9 44 51.3 49.3 51.6 50.4 58.7 31.3 54.4 26.4 39.9 50.1 48.3 24.9 50.9 36.6 54.7 63.4 61.2 42.3 36.3 32.1 37.7 58.4 67.1 35.4 34.1 56.1 43.1 54.7 69 48 56.1 57.8 43.1 54.1 33.2 49.5 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-value =
The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.8 auto accidents per day with a variance of 0.0016. The actuaries of the company claim that the variance of the number of accidents per day is no longer equal to 0.0016. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. Ho: o = H: 0.0016 O
One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?
The null and alternate hypotheses are: He: P₁ =H₂ H₁ H₁ #P₂ A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. The population variances are assumed to be equal. At the 0.10 significance level, is there a difference in the population means? a. Is this a one-tailed or a two-tailed test? O One-tailed test. OTwo-tailed test. b. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) The decision rule is to reject H0 if t
QUESTION 1 Which of the following is not an interpretation of the null hypothesis: a. The "no effect" value of the population parameter. Ob. The "supposed value" of the population parameter. Oc. The hypothesis on which the burden of proof is placed. d. All values of the parameter not specified under the alternative hypothesis. e. All of the above. QUESTION 2 The p-value of a hypothesis test is" O a. the smallest significance level at which the null hypothesis cannot be rejected. Ob. the smallest significance level at which the alternative hypothesis can be rejectec Oc. the largest significance level at which the null hypothesis can be rejected. Od. the smallest significance level at which the null hypothesis can be rejected. e. none of the above.
Under what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?
You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 3 64 82 69 47 71 53 54 87 60 35 64 46 50 76 57 148.67 108.67 96.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments.
Question 4 く Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .01 significance level. The null and alternative hypothesis would be: Ho:PN = PD Ho:HN H1:PN > PD H1:µN > HD H1:PN < PD H1:PN # PD H1:µN < HD H1:µN # µD HD Ho:PN = PD Ho:PN = pD Ho:HN = HD Ho:UN = D The test is: two-tailed left-tailed right-tailed The sample consisted of 70 night students, with a sample mean GPA of 2.22 and a standard deviation of 0.03, and 50 day students, with a sample mean GPA of 2.21 and a standard deviation of 0.02. The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the nul hypothesis
Suppose that we would like to test the following hypotheses on the population correlation coefficient ρ: H0: ρ ≤ 0 and H1: ρ > 0. The sample correlation coefficient (r) for a sample with 7 observations (n = 7) on x and y is 0.35 . Then the test statistic t has a value of