Use the given problem to answer the following questions:A random sample of 25 is selected from a normal populationwith a variance of 20. We want to test the hypothesis that themean is greater than 40 with a 0.05 level of significance.28. If the t-score is 2.23, what would be the decision?Reject H.Fail to reject H,А.В.29. What are the null and alternative hypotheses?A. Ho : µ:40На: и< 40в. Но : и 3 40Ha : µ # 40Ос. Н, : и —-40На : и> 40D. Ho : µ > 40Ha :µ < 4030. Which of the following is/are the critical value/s of the teststatistics that should be used?А.2.064В.2.33C.1.711D.1.645

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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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You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2 Ha:μ1≠μ2You believe both populations are normally distributed and that the population standard deviations are known. You obtain a sample of size n1=42 with a mean of ¯x1=69.5 and a population standard deviation of σ1=16.2 from the first population. You obtain a sample of size n2=55 with a mean of ¯x2=75.4 and a population standard deviation of σ2=17.9 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 the claim that the first population…
ol 106. Use the two scenarios presented in Figure 7.12 to answer the following question about the two sources of variability in ANOVA. 3.5 3.0 2.5 2.0 1.5 (i) HA: P₁ P2 ‡ P3 (iii) HA not all proportions are equal to this po 1.0 Figure 7.12: Within vs Between Variability in ANOVA onnisth Scenario A L (d) Recall that, O 2 H 3 2.05 2.10 2.15 2.20 2.25 2.30 2.35 (ii) Ho: M₁ M₂ = μ3 sans are (iv) HA: not all means are equal 720 qeaoluet alt sot mol 4 mobor 2924 (6) 2 3 4 gob za aim onbala (1) di batt (9) w-qodt fonqtotal bac o2 (6) (Troy ote12. (0) (a) Which scenario provides stronger evidence that the difference in factor level means represents true differences in the population means? Explain why in your own words. Scenario B 1 = stogol 05 O 1 oftaltete fest out of sulav gris I (b) Which scenario exhibits more variability within each factor level? Is this measured by SSError or SSFactor? Agulow (c) Which scenario exhibits more variability between each factor level? Is this measured by…
. In testing the hypothesis Ho : μ = 75 vs H₁ : µ ‡ 75, the following information is known: n=64, x = 78 and ²: = 100. The test statistic is equal to: (a) -2.4 (b) 2.4 (c) 1.96 (d) -1.96 (e) None of the above
1). Suppose that a normal population has mean µ and standard deviation o = 0.5. How large a sample is needed so that a 2-sided 95% confidence interval for µ has length L = 0.2643? А. 15 В. 28 С. 55 D. 220 2). Which of the following is NOT TRUE about the significance level a in hypothesis testing? A. a = 0.01 requires stronger evidence for rejecting Họ than a = 0.05. B. a is the probability or chance rejecting a true Ha(Type II error). C. We reject Ho if the p-value is less than a. D. a = 0.05 means that 95% of all such hypothesis tests correctly retains Ho. 3). A least-squares regression analysis yields the line ŷ = 10.7 – 5.6x and R² = 81%. What is the sample correlation between x and y? A. -0.81 В. +0.90 С. +0.81 D. -0.90
A certain model of car can be ordered with either a large or small engine. The mean number of miles per gallon for cars with a small engine is 6.8. An automotive engineer thinks that the mean for cars with the larger engine is higher than this. State the appropriate null and alternate hypotheses. The null hypothesis is Hoμ (Choose one) The alternate hypothesis is H₁ μu (Choose one) ×
4. Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag and are Normally distributed with mean μ. 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 Ho: = 14, Ha: < 14. To do this, he selects 16 bags of this brand at random and determines the net weight of each. A Type I error in this setting would mean (a) concluding that the bags are being underfilled when they actually aren't. (b) concluding that the bags are being underfilled when they actually are. concluding that the bags are not being underfilled when they actually are. (d) concluding that the bags are not being underfilled when they actually aren't. (e) none of these
I need assitance with how the answers in the table were conducted. And how to calculate the residuals uA and uB and add them to the table. SSR All Answers are provided and correct.
Using the first image's question, answer all the questions asked in second image.
Q1. Which of the following represents Type II error? a. Rejecting the Ho after a test statistic results in a p-value of 0.10 at α =0.05.B. Rejecting the Ho after a test statistic results in a p-value of 0.025 at α=0.05.C. None of the above
You wish to test the following claim (H1H1) at a significance level of α=0.005. Ho:μ1=μ2 H1:μ1≠μ2You 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 a sample of size n1=17n1=17 with a mean of M1=52.8M1=52.8 and a standard deviation of SD1=9.4SD1=9.4 from the first population. You obtain a sample of size n2=14n2=14 with a mean of M2=47.4M2=47.4 and a standard deviation of SD2=10.5SD2=10.5 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…
12. Two independent samples are taken from two populations. Sample 1 has a mean of 12.8, a standard deviation of 2.3, and a sample size of 18. Sample 2 has a mean of 14.2, a standard deviation of 5.2, and a sample size of 23. This gives a standard error se(Ã1 — Ă2) = 1.212. A 95% confidence interval for the difference between the two means is: (A) (-2.00, -0.80). (B) (11.66, 13.94). (C) (-3.96, 1.16). (D) (-3.85, 1.05). (E) (-3.78, 0.98).
Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: :40; a = 0.02; o = 3.74. Sample statistics: x= 38.2, n= 70 ..... Identify the null and alternative hypotheses. Choose the correct answer below. Ο Α. H : μ> 40 В. Но: - 40 Ha: µ = 40 Ha: µ 40 ОЕ. Но: н240 Ha: µ= 40 Ο F H: μ = 40 Hai µ#40 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is B. The critical values are ±

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