Test the claim about the difference between two population means μ₁ and μ2 at the level of significance x. Assume the samples are random and independent, and the populations are normally distributed.Claim: μ₁ = μ₂; α = 0.01Population statistics: 01= 3.3, 02= 1.4Sample statistics: x₁ = 14, n₁ = 30, x₂ = 12, n₂ = 27Determine the alternative hypothesis.Ha: H₁H2

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Answered: Test the claim about the difference…

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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14 this question has parts a, b, c, and d
You wish to test the following claim (Ha) at a significance level of a = 0.002. H.: µ1 < µ2 You obtain the following two samples of data. H.:µ1 = µ2 93.9 83.5 80.5 103.9 56.1 81.5 95.2 52 75.1 88 63.1 72 81.5 95.2 84.6 66.7 91.4 100.5 84 62 46 61.7 32.7 118.1 58.6 95.7 95.7 65.6 74.7 61.7 84.6 75.2 73.7 56.6 106.2 84 103.1 84.6 98.3 47.8 50.9 80 62.6 76.4 85.1 101 105.5 91.3 92.2 94.8 78.6 62.6 71.6 105.5 75.2 65.6 Sample #1 Sample #2 54.4 69.3 46.1 96.8 88.3 106.9 106.9 123.5 58.6 55.9 32.6 82 81 81 101 69 63.6 60.4 57.3 86.8 66.7 118.1 82.5 101 66.6 93 62.6 57.9 71.1 69.5 94.5 81.5 93.2 123.5 67.9 94.5 100.1 52 66.7 53.1 103.1 114.8 83.5 76.6 60.3 54.2 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 =
Test the claim about the difference between two population means u, and u, at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ, =H2; a = 0.01 Population statistics: o, = 3.4, o2 =1.7 Sample statistics: X, = 15, n, = 27, X2 = 17, n2 = 30 Determine the alternative hypothesis. Ha: H1 H2 Determine the standardized test statistic. (Round to two decimal places as needed.) Determine the P-value. P-value = (Round to three decimal places as needed.) What is the proper decision? Enil to rninat U Thore ie not onounh cidencoot the 0L Inunl of eianiinonon tn minnt the olainn Click to select your answer(s). 2:24PM
MY NOTES Bags of a certain brand of tortilla chips claim to have a net weight of 12.5 oz. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses H0: μ = 12.5, HA: μ < 12.5. To do this, he selects 24 bags of tortilla chips of this brand at random and determines the net weight of each. Data reveals a bell-shaped histogram, a sample mean of 12.31 ounces, and a standard deviation of 0.48 ounces.(a) What type of test is this? Two-sided, one-sample test Two-sided, two-sample test One-sided, two-sample test One-sided, one-sample test (b) Given the test statistic = -1.94 and α = 0.05, which of the following statements is the decision? Reject H0; conclude the bags are underweight. Fail to reject H0; do not conclude the bags are underweight. Fail to reject H0; conclude the the bags are underweight. Reject H0; conclude the bags are overweight.
Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: H, 20; a = 0.05. Sample statistics: d= -2.2, s, = 1.5, n= 14 Identify the null hypothesis by writing its complement. O A Ho: Ha0 H: Ha =0 O B. Hg: Hg s0 OC. Ho: Ha =0 O D. Ho: Ha 0 H: Hg s0 The test statistic is t=. (Round to two decimal places as needed.)
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2You obtain the following two samples of data. Sample #1 Sample #2 41.9 43.9 54.4 59.3 65.1 75.1 47.8 53.5 49.7 66.3 62.1 49.1 28.1 42.8 56.4 43.6 35.6 38.1 38.1 58.2 40.2 42.8 57.1 53.5 64 48.4 28.1 28.1 51.3 54.4 44.7 61.3 41.1 51.3 51.3 66.3 75.1 47.5 60.4 48.4 34.8 37.5 54.4 39.2 43.2 55.1 33.2 34 61.7 57.4 36.3 50.3 37.5 40.6 41.1 60.8 56.8 61.3 42.3 40.7 45.1 53.6 40 56.2 42.8 50.4 57.4 53.4 60.7 61 68.1 55.6 55.1 53.6 49.9 53.2 65.7 49.5 52.8 45.4 54.5 58.9 58.9 50.8 60.1 54.3 66.4 56.2 51.3 53.4 52.3 52.3 64.6 53.4 53.6 55.8 64.1 46.6 57.9 48 59.8 58.9 64.6 54.1 47.7 63.6 59.5 54.7 50.6 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…
You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02 . Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 67.1 64.2 32.7 49.0 63.8 54.8 63.5 54.1 65.6 54.8 40.5 58.7 39.4 43.1 72.5 73.1 70.2 71.2 68.1 73.1 79.7 67.3 66.5 61.7 62.9 76.5 What is the test statistic for this sample?test statistic = Round to 3 decimal places. What is the p-value for this sample?p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) α greater than α 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 the claim that the first population mean is not equal to the second population mean. There is not sufficient…
Two samples, sizes 40 and 50 respectively, are taken from a population with unknown mean μ and unknown variance 2σ . The data is shown below. Sample I X1 35 36 37 38 39 f 3 7 15 10 5 Sample II X2 35 36 37 38 39 40f 10 21 8 6 3 2 Using the data from the two samples above, obtain unbiased estimates of i. The population mean ii. The population variance
You wish to test the following claim (Ha) at a significance level of a = 0.01. H₂:μ₁ = μ₂ Ha:μι > με You obtain the following two samples of data. Sample #1 Sample #2 60 50.1 91.5 89.8 56 44.8 85.6 93.4 58.4 83.8 106.9 73.9 44.8 78.1 70.8 37.7 63.5 82.7 71.7 34.7 90.6 67.7 66.8 61.6 65 65.9 77.6 61.1 111.7 106.9 51.8 88.3 69 80.5 78.1 62.6 99.7 64.5 67.2 52.6 71.2 75.3 76.2 96.8 70.8 49.2 46.1 111.7 51.8 The p-value is... mlm What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 66.2 63.3 60 63.1 61.3 75 62.3 63.3 69.4 57.9 71.2 68.4 74.7 70.6 65.1 68.5 75.8 78.4 73.1 58.6 59.1 66 71.5 67.2 67.3 69 70.9 68.9 73.1 64.4 66.9 71.2 65.6 68.7 60.7 65.3 76.3 74.7 70.1 65.6 59.6 68.2 67.2 69.7 68.9 65.4 66.2 65.6 65.1 62.5 0.7 60.4 68.9 76.8 65.6 76.3 64.7 55.6 71.7 69.7 64.2 72.9 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…
Use the following sample to evaluate H0: μ = 65, at significance level α = 0.05. 53 75 68 53 57 12 4 10 45 94 23 73 9 41 79 92 90 46 49 71 State the correct test and your conclusion. T-test. Reject Ho. T-test. Fail to reject Ho. Z-test. Fail to reject Ho. Z-test. Reject Ho.
Question 2
Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed

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