### Testing the VariancesAssume both populations are normally distributed.#### Hypotheses- Null Hypothesis \( H_0: \sigma_1^2 \leq \sigma_2^2 \)- Alternative Hypothesis \( H_A: \sigma_1^2 > \sigma_2^2 \) (Claim)#### Given Data- Sample variance of Population 1: \( s_1^2 = 5.6 \)- Sample variance of Population 2: \( s_2^2 = 1.4 \)- Sample size of Population 1: \( n_1 = 9 \)- Sample size of Population 2: \( n_2 = 23 \)- Significance level: \( \alpha = 0.10 \)#### Two Sample F-Test for Variance| F-Test Statistic | Degrees of Freedom (Numerator) | Degrees of Freedom (Denominator) ||-----------------------------------------|----------------------------------------|----------------------------------------|| \( F = \frac{s_1^2}{s_2^2} \) | \( d_{f_N} = n_1 - 1 \) | \( d_{f_D} = n_2 - 1 \) || Where \( s_1^2 > s_2^2 \) | | |#### InstructionsRound all values to 3 decimal places.1. **Critical Value \( F_{ \alpha } \):** [___]2. **Test Statistic \( F \):** [___]3. **Conclusion:** [___]

Answered: a. The Critical Value F o = b. The 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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Here are the choices:Chi-SquareCorrelationRegression
1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…
a=1 b=8 c=6 d=0
Some frozen food dinners were randomly selected from this week's production and destroyed in order to measure their actual calorie content. The claimed calorie content is 200. Here are the calorie counts for each frozen dinner selected: 191 189 198 210 207 203 209 215 209 204 200 194 Assume the distribution of calories is normal. (a) The test statistic (z/t) is Use two decimals. (b) Does the sample indicate that the mean calorie content is 200? Set a = (c) Find the P-value of the test in (a)-(b). 0.07 ? Yes No
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
1.A chi-square test for independence is being used to evaluate the relationship between two variables, one of which is classified into 3 categories and the second of which is classified into 4 categories. What is the df value for the chi-square statistic? Group of answer choices A.6 B.11 C.4 D.10
Which of the following accurately describes the chi-square test for goodness of fit? a.It is similar to a single-sample t test because it uses one sample to test a hypothesis about one population. b.It is similar to both a correlation and an independent-measures t test because it can be used to evaluate a relationship between variables or a difference between populations. c.It is similar to an independent-measures t test because it uses separate samples to evaluate the difference between separate populations. d.It is similar to a correlation because it uses one sample to evaluate the relationship between two variables.
1.
Only do D.
1.A chi-square test for independence is being used to evaluate the relationship between two variables, one of which is classified into 2 categories and the second of which is classified into 4 categories. What is the df value for the chi-square statistic? a. df = 2 b. df = 6 c. df = 7 d. df = 3
1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…
Suppose that x and y are two variables of a population and that the assumptions for regression inferences are met with x as the predictor variable and y as the response variable. a. What statistic is used to estimate the slope of the population regression line? b. What statistic is used to estimate the y-intercept of the population regression line? c. What statistic is used to estimate the common conditional standard deviation of the response variable corresponding to fixed values of the predictor variable?

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a. The Critical Value F o = b. The Test Statistic F = Corclusion