In a t-test which tests the difference between two sample means, if the t-statistic (t) is 0, this implies:μl μ2Ybar₁ - Ybar2 = 0μι – με 7 0Ybar₁-Ybar2# 0

Given that t-test which is difference between two sample means, if t-statistic (t) is 0

Answered: In a t-test which tests 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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Find the p-value of a test-statistics for the difference between two means, paired samples, given a test-statistic of t= 2.015, : > 0, n=19.
A researcher conducted a t-test for independent samples to evaluate the mean difference between two treatment conditions and obtained t(48) = 4.00. What would be the computed F, if the outcomes of this study were evaluated by one-actor ANOVA for independent samples?
Suppose μ1 and M₂ are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. Use the two-sample t test at significance level 0.01 to test Ho: μ₁ −μ₂ = -10 versus H₂: M₁ M₂ < -10 for the following data: m = 8, x = 114.6, s₁ = 5.05, n = 8, y = 129.5, and s₂ = 5.33. USE SALT Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. Reject Ho. The data suggests that the difference between mean stopping distances is less than -10. Reject Ho. The data does not suggest that the difference between mean stopping distances is less than -10. Fail to reject Ho. The data suggests that the difference between mean stopping distances is less than -10. Fail to reject Ho. The data does not suggest that the difference between mean stopping distances is less than -10. You may need to use the…
A researcher conducts an independent- measures research study and obtains t = 2.070 with df = 28. How many individuals participated in the entire research study? Using a two- tailed test with α = .05, is there a significant difference between the two treatment conditions? Compute r2 to measure the percentage of variance accounted for by the treatment effect.
Two machines are used for filling oil with a net volume of 16.0 ounces. The filling processes are normal. The engineering suspects that both machines fill to the same net volume, whether or not this volume is 16.0 ounces. An experiment is performed by taking a random sample from the output of each machine. (α = 0.05) M 1 M 216.03 16.0216.04 15.9716.05 15.9616.05 16.0116.02 15.9916.01 16.0315.96 16.0415.98 16.0216.02 16.0115.99 16.00 1) What are the hypotheses which should be tested? 2) Do the machines fill the same net volume?
A researcher conducts an independent- measures research study and obtains t = 2.070 with df = 28. How many individuals participated in the entire research study? Using a two- tailed test with α = .05, is there a significant difference between the two treatment conditions? Compute r2 to measure the percentage of variance accounted for by the treatment effect.
20% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 356 randomly selected students who receive financial aid, 61 of them volunteered their time. What can be concluded at the αα = 0.10 level of significance? For this study, we should use? Select an answer z-test for a population proportion? or t-test for a population mean? The null and alternative hypotheses would be:    H0:H0:? μ or p  Select an answer ≥ = < > ≤ ≠   _______(please enter a decimal)    H1:H1:? μ or p  Select an answer ≥ ≠ = < > ≤ _______ (Please enter a decimal) 2. The test statistic ? t or z  = ______ (please show your answer to 3 decimal places.) The p-value = ______ (Please show your answer to 4 decimal places.) The p-value is ? > or ≤ α 3. Based on this, we should Select an answer fail to reject? reject ? accept ? the null…
A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use α = 0.05. Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 Truck 6 Truck 7 Truck 8 Entry failures 40 42 53 55 62 54 50 42 Exit failures 47 52 56 56 60 46 52 45 (b) Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) tcalc           (c) Find the critical value tcrit for α = 0.05. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) tcrit          (d) Find the p-value. (Round your answer to 4 decimal places.) p-value
Only about 15% of all people can wiggle their ears. Is this percent different for millionaires? Of the 398 millionaires surveyed, 40 could wiggle their ears. What can be concluded at the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: H0:H0:  ? μ p  Select an answer > < ≠ =   (please enter a decimal) H1:H1:  ? μ p  Select an answer < = ≠ >   (Please enter a decimal) The test statistic ? z t  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 3 decimal places.) The p-value is ? ≤ >  αα Based on this, we should Select an answer fail to reject accept reject  the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 15% at αα = 0.05, so there is statistically insignificant evidence to conclude that the…

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In a t-test which tests the difference between two sample means, if the t-statistic (t) is 0, this implies: μ1 μ2 Ybar₁ - Ybar2 = 0 μ₁ −μ₂0 Ybar₁-Ybar2# 0