1: Two random samples taken from two normal populations yielded the following information:SampleSample sizeSample variance1n, = 9si = 45s을 3D 30n2 = 31i.Find the test statistic Fii.Find the degrees of freedom dfl and df2.Perform the test the hypotheses Ho:o = 03 vs. H,: of # 03 at the 5% level ofsignificance.iii.

Given: Sample sizes: n1=9n2=31 Sample variances: s12=45s22=30 Significance level α=0.05

1: Two random samples taken from two normal populations yielded the following information: Sample Sample size Sample variance si = 45 s = 30 1 n, = 9 n2 = 31 i. Find the test statistic F ii. Find the degrees of freedom dfl and df2. Perform the test the hypotheses Ho:o = 0 vs. H,: of + 0ž at the 5% level of significance. iii.

1: Two random samples taken from two normal populations yielded the following information: Sample Sample size Sample variance si = 45 s = 30 1 n, = 9 n2 = 31 i. Find the test statistic F ii. Find the degrees of freedom dfl and df2. Perform the test the hypotheses Ho:o = 0 vs. H,: of + 0ž at the 5% level of significance. iii.

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

1. What is the standardized test statistic? t = ___. 2. What is/are the critical value(s)?
You wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:μ1=μ2 Ha:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n1=23 with a mean of ¯x1=74.5 and a standard deviation of SD1=20.4 from the first population. You obtain a sample of size n2=11with a mean of ¯x2=89.8and a standard deviation of SD2=7.3 from the second population.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? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of…
1: Two random samples taken from two normal populations yielded the following information: Sample size n1 = 9 n2 = 31 Sample variance s} = 45 s = 30 Sample 1 %3D i. Find the test statistic F Find the degrees of freedom dfl and df2. Perform the test the hypotheses Ho: of = ož vs. H1: o} # ož at the 5% level of significance. ii. iii.
Suppose you want to test the claim that u, > H,. Two samples are randomly selected from normal populations. The sample statistics are given below. Assume that o #o5. At a level of significance of a = 0.01, when should you reject Ho? n, = 18, n2 =13, x, = 470, x2 = 455, s, = 40, s2 = 25 %3D O A. Reject H, if the standardized test statistic is greater than 2.681. B. Reject Ho if the standardized test statistic is greater than 1.699. O C. Reject H, if the standardized test statistic is greater than 3.055. D. Reject H, if the standardized test statistic is greater than 2.179.
You wish to test the following daim (Ha) at a significance level of a = 0.10. H,:P1 P2 You obtain 615 successes in a sample of size n1 = 704 from the first population. You obtain 490 successes in a sample of size n2 = 581 from the second population. critical value = [three decimal accuracy] test statistic = [three decimal accuracy] The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null accept the null fail to reject the null As such, the final condusion is that... O There is sufficient evidence to support that the first population proportion is greater than the second population proportion. O There is not sufficient evidence to support that the first population proportion is greater than the second population proportion.
1: Two random samples taken from two normal populations yielded the following information: Sample size nz = 9 Sample variance s? = 45 Sample 1 2 n2 = 31 %3D %3D iii. Perform the test the hypotheses Ho: of = ož vs. H1: o? # ož at the 5% level of significance.
5.32 Fuel efficiency of manual and automatic cars, Part I: Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? Assume that conditions for inference are satisfied. City MPG, Automatic City MPG, Manual Mean 16.12 19.85 SD 3.58 4.51 n 26 26 The test statistic is:The p-value is:
A) find the critical value(s) round to 3 decimal places B) find the standard test statistic . Round to 3 decimal places
2. Given the NSAT scores of 36 students which follows normal distribution with mean u and variance 800 and suppose we have the following hypothesis of interest Ho: u = 530 vs H1:µ< 530 Use CR = {X | X < 510.77} and $(µ) = P(rej. Ho | p) and determine the significance level and power of a %3D test.
Test the hypotheses shown below for a random sample with s = 140 and n= 28 at the 5% significance level. Họ: os 100 H,: o?> 100 Click the icon to view the upper critical values of Chi-square distribution table. For this test at the significance level a with sample variance s, hypothesized variance o, sample size n, and critical value x2: X-11- or x4g/2 and x11-g/2: what is the form of the decision rule? (n-1)s2 (n- 1)s? O A. Reject H, if > Xn-1g/2 or reject H, if 1-1,1-a/2 (n- 1)s2 O B. Reject Ho if (n- 1)s? Oc. Reject H, i -
You wish to test the following daim (Ha) at a significance level of a = 0.005. H.:P1 > P2 Ha:P1 < P2 You obtain a sample from the first population with 303 successes and 238 failures. You obtain a sample from the second population with 155 successes and 79 failures. critical value = [three decimal accuracy] test statistic = [three decimal accuracy] The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis As such, the final condusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. O There is not sufficient evidence to support that the first population proportion is less than the second population proportion.
Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses, level of significance a, and sample sizes n, and n. Assume that the samples are independent, normal, and random. Answer parts (a) and (b). Hg P2. a= 0.20, n, =6, n2 = 8 (a) Find the critical value(s) assuming that the population variances are equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) (b) Find the critical value(s) assuming that the population variances are not equal. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Enter your answer in each of the answer boxes. DELL