You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that $ b_1 = 4.3 $ and $ S_{b_1} = 1.4 $.a. What is the value of $ t_{\text{STAT}} $?- $ t_{\text{STAT}} = 3.07 $ (Round to two decimal places as needed.)b. At the $ \alpha = 0.05 $ level of significance, what are the critical values? - The lower critical value is [blank].- The upper critical value is [blank]. (Round to four decimal places as needed.)c. Based on your answers to (a) and (b), what statistical decision should you make?d. Construct a 95% confidence interval estimate of the population slope, $ \beta_1 $.### further information:a. What are the hypotheses to test?- Option A is selected: - $ H_0: \beta_1 = 0 $ - $ H_1: \beta_1 \neq 0 $Other options for hypotheses testing are:- B. - $ H_0: \beta_1 \leq 0 $ - $ H_1: \beta_1 > 0 $ - C. - $ H_0: \beta_1 \geq 0 $ - $ H_1: \beta_1 < 0 $ - D. - $ H_0: \beta_1 \neq 0 $ - $ H_1: \beta_1 = 0 $

You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b₁ = 4.3 and Sp, 1.4. a. What is the value of tSTAT? b. At the α = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make?

You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b₁ = 4.3 and Sp, 1.4. a. What is the value of tSTAT? b. At the α = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 0 3 1 2 5 1 8 GPA 3.3 2.9 3.4 3.3 2.5 2.8 0.7 1. The p-value is: _____ (Round to four decimal places) 2. Use a level of significance of α=0.05 to state the conclusion of the hypothesis test in the context of the study (pick one). a. There is statistically significant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the regression line is useful. b. There is statistically significant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. c. There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. d. There is statistically insignificant…
What are the independent and dependent variables for the following examples? What statistical test would you use for each of the following scenarios? What would you set your alpha-level at? Sally wants to examine whether there is a difference in muscular strength between participants who engaged in an 8-week resistance training program and participants who engaged in an 8-week endurance training program. The participants only took part in one of the 8-week programs, not both. What test would she use to determine whether the differences in muscular strength are significant? Why?
The weekly expenditure on groceries of a random sample of 100 family households was recorded. It was estimated that the mean expenditure was approximately $240. With rising interest rates and petrol prices, it was anticipated that grocery expenditure might decrease. Which hypothesis test would you use to test this claim? 1.One tailed, one sample t-test 2.Two tailed, one sample t-test 3.One tailed, z-test 4.One-tailed Paired Samples t-test 5.Chi Square
Using an a = 0.05 significance level, what was the evidence for your answer to the previous question? O Because the p-value of the t-test for Experience is greater than 0.05, the analyst should not reject Ho: B₁ 0 so HA B10 is unsupported. This means that there is NO statistically significant relationship between Sales and Experience. = Because the p-value of the t-test for the Intercept is less than or equal to 0.05, the analyst should reject Ho: Bo 0 and accept HA Bo 0. This means that there is a statistically significant relationship between Sales and Experience. - O Because the p-value of the t-test for Experience is less than or equal to 0.05, the analyst should reject Ho: B1 = 0 and accept HA B1 0. This means that there is a statistically significant relationship between Sales and Experience. : O Because the p-value of the t-test for Experience is less than or equal to 0.05, the analyst should reject Ho: B1 = 0 and accept HA B1 0. This means that there is NO statistically…
The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment I II 10 7 N = 16 8 4 G = 120 7 9 ∑X² = 1036 9 3 13 7 7 6 6 10 12 2 M = 9.000 M = 6.000 T = 72 T = 48 SS = 44 SS = 56 Use an independent-measures t test with α = .05 to determine whether there is a significant mean difference between the two treatments. (Use three decimal places; subtract MIIII from MII.) t-critical = ± t = t Distribution Degrees of Freedom = 21 -3.0-2.0-1.00.01.02.03.0t Conclusion: Fail to reject the null hypothesis; there are significant differences between the two treatments. Reject the null hypothesis; there are significant differences between the two treatments. Fail to reject the null hypothesis; there are no significant differences between the two treatments. Reject the null hypothesis; there are…
Two samples of n = 5 participants each generate the following data. Calculate a t-test score for the difference of these two groups. Group 1 Group 2 2 3 3 3 2 2 2 2 1 2 t(8) = 2.86 t(8) = 2.29 t(8) = 2.5 t(8) = 1.11 Based on the results from the previous question (#7), what is the tcrit and are Group 1 and Group 2 significantly different from each other? Use α = .05, two-tailed test. tcrit = 1.860 Yes, the two groups are significantly different from each other. tcrit = 2.306 Yes, the two groups are significantly different from each other. tcrit = 2.228 Yes, the two groups are significantly different from each other. tcrit = 3.355 No, the two groups are not significantly different from each other.
Two samples of n = 5 participants each generate the following data. Calculate a t-test score for the difference of these two groups. Group 1 Group 2 2 3 3 3 2 2 2 2 1 2 t(8) = 2.86 t(8) = 2.29 t(8) = 2.5 t(8) = 1.11