4.Determine whether the following statements are true or false. No explanation isrequired.a) A paired t-test is used when the two samples cannot be treated as independent.b) A 95% confidence interval for the ratio of two variances was calculated to be (0.589, 1.864).A hypothesis test with significance level 0.05 would fail to reject the null hypothesis.c) F(u,v) = F(v,u), where F(u,v) signifies an F distribution with u and v degrees of freedom.d) When looking at population proportions, we can treat each sample as a binomial distributionwith n trials and probability of success po, where po is the hypothesized population proportion.e) The F distribution is skewed left, unlike the normal and t distributions which are symmetric.

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Answered: 4. Determine whether the following…

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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The admission office needs your help to evaluate the following hypothesis: Ho: there is not a significant linear relationship between the two sections Against: HA: there is a significant linear relationship between the two sections 1. What is the calculated F statistics? (round to the nearest hundredth) 2. Evaluate the F calculated and indicate if you are going to reject or fail to reject the null hypothesis using an alpha = 0.05 (reject/fail to reject)
The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of = 0.05. E Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. OA. OB. Oc. OD. 70- 70- Q 70- 70- ... ++++++ 20 - 20 Best Actress (years) 20- 70 20 Best Actress (years) 20- 20 Best Actress (years) 70 20 Best Actress (years) 70 70 Best Actresses and Best Actors Best Actress 27 29 30 58 33 34 46 30 62 22 44 51 D Best Actor 44 36 38 44 53 46 56 49 41 52 44 33
(i) State the hyptheses. (ii) Sketch a scatter plot tat best represents the data. (iii) Compute the value of the correlation coefficient. Round the answer to at least three decimal places. (iv) Find the P-value. Round the answer to at least four decimal places. Test the significance of r at α=0.05. Determine whether to reject or not reject the null hypothesis.
Is the answer (I) We REJECT Ho at the 0.05 significance level. OR (II) We FAIL TO REJECT Ho at the 0.05 significance level.
10 11 12 13 14 15 16 Use a significance level of a=0.05 to test the claim that u = 19.6. The sample data consists of 10 scores for which x =20.1 and s=4.1. State the null and %3D alternative hypotheses, compute the value of the test statistic, and find the P-value for the sample. State your conclusions abcut the clalm. do H:H=19.6 H:Hz 19.6 O Test statistic: t=0.3856. P-Value: P=0.7087, Reject H. : u = 19.6. Since P>a, there is sufficient evidence to support the claim that the mean is different from 19.6. H :µ=20.1 H: Hz 20.1 O Test statistic: t= 20.1. P-Value: P=0.7087. Accept H: u = 20.1. Since P>a, there is not sufficient evidence to support the claim that the mean is different from 20.1. Ho: H= 19.6 H: uz 19.6 Submit Assignment Continue 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy Accessibility DII & %24 7 t e f
Consider the following two confidence intervals for B₁: 90% confidence interval: [0.49, 29.51] 95% confidence interval: [-2.29, 32.29] You want to test the null hypothesis that B₁ = 0 against the alternative hypothesis that ß₁ ‡ 0. Which of the following is true? Select all that apply. You reject the null hypothesis at the 5% significance level You fail to reject the null hypothesis at the 10% significance level. You fail to reject the null hypothesis at the 5% significance level You reject the null hypothesis at the 10% significance level
Assume that both populations are normally distributed. (a) Test whether H1 #H2 at the a = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about u, - H2. Population 1 Population 2 13 13 14.1 11.8 4.2 3.1 (a) Test whether u, # H, at the a = 0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. O A. Ho:H1 # H2 H1:H1 = H2 O B. Ho:H1 = H2 H1:41 > H2 OC. Ho:H1 H2 H1:H1> H2 D. Ho:H1 = H2 H1:41 # H2 Detemine the P-value for this hypothesis test. P = (Round to three decimal places as needed.)
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.
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal. You obtain a sample of size n1=18 with a mean of M1=62.6 and a standard deviation of SD1=13.2 from the first population. You obtain a sample of size n2=17 with a mean of M2=73.1 and a standard deviation of SD2=5.6 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.)
The following table contains observed frequencies for a sample of 200. Row Variable P Q Column Variable A B C 16 40 46 34 30 34 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. O Ho: Variable P is not independent of variable Q. H: Variable P is independent of variable Q. O Ho: The column variable is independent of the row variable. H₂: The column variable is not independent of the row variable. a O Ho: The column variable is not independent of the row variable. H₂: The column variable is independent of the row variable. O Ho: Variable P is independent of variable Q. H₂: Variable P is not independent of variable Q. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. We conclude that the column and row variables are independent. O Do not reject Ho. We cannot conclude that there is an…
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether u1 > H2 at the a = 0.01 level of significance for the given sample data. Population 1 Population 2 24 25 49.6 4.1 (b) Construct a 95% confidence interval about u1 - H2. 45.8 12.7 (a) Identify the null and alternative hypotheses for this test. B. Ho: H1 = H2 H1: H1>H2 O A. Ho: H1 = H2 O C. Ho: H1 + H2 H1: H1 = H2 H1: H1 #H2 O D. Ho: H1 H2 H1: H1 = H2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)

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