Consider the following hypothesis test.Ho: µ1 – µ2 <Ha: µ1 – 42 > 0The following results are for two independent samples taken from the two populations.Sample 1Sample 2n1 = 40n2 = 55*1 = 24.6= 22.201= 4.902 == 6.0a. What is the value of the test statistic (round to 2 decimals)?b. What is the p-value (round to 4 decimals)? Use z-value rounded to 2 decimal places.c. With a = 0.05, what is your hypothesis testing conclusion?p-value is - Select your answer -v HoНо

Answered: Image /qna-images/answer/1a0d4d33-870a-493d-9ef9-eedd170a0f87.jpg

Answered: Consider the following hypothesis test.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Match each of the following pairs of hypotheses to the name of the hypotheses that would use that specific pair of hypotheses. A. Significance Test on the Population Slope of a Regression LineB. Anova Test on a Completely Randomized DesignC. Hypothesis Test on the Difference Between Two Population MeansD. Hypothesis Test on a Population Mean ValueE. Hypothesis Test on the Difference Between Two Population Proportions. Select (A, B, C, D, E)1. H subscript o colon space mu equals 0H subscript A colon space mu not equal to 0 Select (A, B, C, D, E)2. H subscript o colon space p subscript 1 minus p subscript 2 greater or equal than 0H subscript A colon space p subscript 1 minus p subscript 2 less than 0 Select (A, B, C, D, E)3. H subscript o colon space mu subscript 1 equals mu subscript 2 equals mu subscript 3 equals mu subscript 4H subscript A colon space NOT space H subscript o Select (A, B, C, D, E)4. H subscript o colon space mu subscript 1 minus mu subscript 2 equals 0H subscript A…
In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses: A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?x = ?y = ?zHa: Not all the population means are equal. E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion. A) Reject H0. There is…
In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equal-size towels were used, with four sections of towels tested per brand. The absorbency rating data follow. Brand x y z 91 100 82 100 96 89 89 95 89 88 93 80 #1) At a 0.05 level of significance, does there appear to be a difference in the ability of the brands to absorb water? State the null and alternative hypotheses: A) H0: ?x ≠ ?y ≠ ?zHa: ?x = ?y = ?z B) H0: ?x = ?y = ?zHa: ?x ≠ ?y ≠ ?z C) H0: At least two of the population means are equal.Ha: At least two of the population means are different. D) H0: ?x = ?y = ?zHa: Not all the population means are equal. E) H0: Not all the population means are equal.Ha: ?x = ?y = ?z #2) Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = #3) State your conclusion. A) Reject H0. There is…
Consider the following hypothesis statement using α=0.10 and the following data from two independent samples. Complete parts a and b below. H0: p1−p2≥0 x1=74 x2=76 H1: p1−p2<0 n1=125 n2=170 a. Calculate the appropriate test statistic and interpret the result. What is the test statistic? What is/are the critical value(s)? b. Calculate the p-value and interpret the result. What is the p-value?
Given the following information about a hypothesis test of the difference between two means based on independent random samples, what is the critical value of the test statistics at the significance level of 0.05? Assume that the samples are obtained from normally distributed populations. HA: (alpha)2A >(alpha)2B, X1(bar)= 12, x2 (bar) =9, s1=5, s2=3, n1=13, n2=10
In a test of H0: p = 0.4 against H1: p ≠ 0.4, a sample of size 100 produces Z = 1.28 for the value of the test statistic. Thus the p-value (or observed level of significance) of the test is approximately equal to:
A study of color in tiger beetles is conducted to support the contention that the proportion of black beetles may vary from locality to locality (alpha=0.05). A sample of 500 beetles caught in one season near Providence, Rhode Island, yielded 95 black beetles. A catch of 112 beetles from Aqueduct, New York, contained 17 black individuals. 1. What is null and alternative hypothesis? 2. What proportions did you observe in the two localities? 3. What is the null standard error for the difference? 4. Calculate the appropriate test statistic. 5. What p-value do you associate with that statistic? 6. What do you conclude about the proportion of black beetles in the two locations?
You obtain a t comp of .975 in a two sample independent t test with alpha at .05. Is it significant?
A researcher who wants to know whether the proportion of male births in a hospital is different from the established baseline of 51.07%, would like to test the following hypotheses: Ho:P = 0.51 vs. Ha :P = does not equal 0.51 a) Is the alternative hypothesis upper tail, lower tail, or two tailed? b) What do you conclude if the test results p-value of 0.03 at alpha value = 5% c) What do you conclude if the test results p-value of 0.08 at alpha value = 10%
Consider the following hypothesis test: H 0 :   15 , H1 :   15A sample of 50 provided a sample mean of 14.15. the population standard deviation is 3.a. compute the value of the test statistic.b. what is the p-value?c. at a = .05, what is your conclusion?d. what is the rejection rule using the critical value? what is your conclusion?
Q1/ Consider the following hypothesis test : H0:μ 65 Ha:μ 65 A sample of size 15 provided a sample mean (63) and population standard deviation is (2). a-Compute the test statistic. b-Compute p-value from the table? What is the rejection rule ? and what is your conclusion at α=0.05? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05? .............................................................................................................................. Q2/ Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ?
Q1/Consider the following hypothesis test : H0:μ 65 Ha:μ 65 A sample of size 15 provided a sample mean (63) and population standard deviation is (2). a-Compute the test statistic. b-Compute p-value from the table? What is the rejection rule ? and what is your conclusion at α=0.05? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05? ........................................................................................................................ Q2 /Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ?

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