A researcher is trying to determine whether a new teaching technique is more effective than the old teaching technique.Two groups of student with 20 and 24 members were taken for 3 months to undergo with the two techniques. Results areshown below:TechniqueМeanSDNew82.456.9520old80.977.5024Assume unequal variances.a.) Test the claim that the new technique is superior to the old at 0.01 level of significance.b.) Test the hypothesis that there is no significant difference between the new and old teaching techniques at 0.05 level ofsignificance.

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Answered: A researcher is trying to determine…

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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Which samples show unequal variances? Use a = .10 in all tests. Show the critical values and degrees of freedom clearly and illustrate the decision rule. s1 = 10.2, n1 = 22, s2 = 6.4, n2 = 16, two-tailed test s1 = .89, n1 = 25, s2 = .67, n2 = 18, right tailed test s1 = 124, n1 = 12, s2 = 260, n2 = 10, left-tailed test
A behavioral researcher measures the stress response of mice exposed to scary animal pictures (cat, dog, lion, Cheshire cat) with a GABA sensor implanted in the brain. He uses randomly assigned 40 mice, 10 in each group. The researcher records the amount of stress after 30 seconds assuming that there is no difference in the response in whatever way the mouse is scared. The data is normally distributed. Means and variances are provided in the table below. Is there a difference in the response to scary animals. Group 1 - Cat n₁=10 m₁ = 10 s² 1= 1.8 Group 2 - Dog n2=10 m₂= 5.0 s²2= 3.4 Why is the scare effect so low in group 4? Group 3 - Lion n3=10 m3= 3.4 s²1= 2.5 Group 4 - Chesire Cat n4=10 m4= 2.4 s² 1= 1.6
When three groups were compared using the one-way Analysis of Variance (ANOVA), the result turned out to be significant, that is, the null hypothesis was rejected. What will be the appropriate interpretation of this result?A. All three groups significantly differ in means.B. Exactly two of the three groups significantly differ.C. At least two of the three groups significantly differ in means.D. All three groups have the same effect on the dependent variable.
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
Which statement best represents the logic of a one way analysis of variance which also called ANOVA which is also called the F test? A. Under the null, The population means are equal to each other, so any difference in sample means will register as significant difference B. Under the null, at least one mean is different from the others, so if this condition is met with the data, it will register as a significant difference C. Under the null, The means are assumed to be equal; as a result the between group variance will equal the within group variance ; if the calculated SSbetween is sufficiently larger than SSbetween this would suggest the between group variation is larger than within group variation and indicate there is a significant difference amount the means D. Under the null, the means are assumed to be equal, as a result, the within group variance will be larger than the between group variance and this will be revealed by a significant F, which would indicate that the…
2. A principal of high school was concerned with amount of time her students devote to working at after-school jobs. She randomly selected 25 students, obtained their working hours for 1 week and computed x = 12.5 hours and s = 4.5 hours. She claims that her students work significantly more than the mean of 10.7 hours from a study conducted by the National Association of State High School Association. Test her claim by using the 5% level of significance.
Which outcome is expected if the null hypothesis is true for an analysis of variance? a. SSbetween should be about the same size as SStotal. b. SSbetween should be about the same size as SSwithin. c. MSbetween should be about the same size as MStotal. d. MSbetween should be about the same size as MSwithin.
An HIV clinical trial with 1151 subjects was conducted. We will focus on two variables from this trial: IVDrug and Age. IVDrug is a categorical variable that indicates whether each subject never, previously, or currently uses IV drugs. Age lists the subject's age in year. Thus, we have age for subjects in three treatment groups. Assume that the samples were collected independently and come from a normally distributed population with equal variances. An ANOVA is used to test whether average age in the three IV drug groups is the same. A partially filled-in ANOVA table is listed below. Use a significance level of 0.05. p-value Treatment Error Total df SS MS 76.77 F 7.5586

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