An independent-measures research study uses two samples, each with \( n = 12 \) participants. If the data produce a \( t_{calc} = 2.50 \), then which of the following correctly lists the decisions for a two-tailed hypothesis test with \( \alpha = .05 \) and \( \alpha = .01 \)?- ○ Reject the null hypothesis with \( \alpha = .05 \) and \( \alpha = .01 \)- ○ Reject the null hypothesis with \( \alpha = .05 \) and fail to reject with \( \alpha = .01 \)- ○ Fail to reject the null hypothesis with \( \alpha = .05 \) and \( \alpha = .01 \)- ○ Cannot answer without additional information A sample has the following n=3 scores:\[ [4, 5, 6] \]What is the value of SS (Sum of Squares) for this data set?- ○ 5.00- ○ 2.00- ○ 0.67- ○ 3.00

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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 following data are from a completely randomized design. In the following calculations, use ? = 0.05. Treatment1 Treatment2 Treatment3 62 83 70 46 71 54 53 88 60 39 70 48 xj 50 78 58 sj2 96.67 79.33 88.00 (a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses. H0: ?1 = ?2 = ?3Ha: Not all the population means are equal.H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3    H0: At least two of the population means are equal.Ha: At least two of the population means are different.H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is not sufficient evidence to conclude that the means of the three treatments are not equal.Reject H0. There is…
The following data are from a completely randomized design. In the following calculations, use ? = 0.05. Treatment1 Treatment2 Treatment3 62 82 68 46 71 54 53 88 61 39 63 45 xj 50 76 57 sj2 96.67 124.67 96.67 a) Use analysis of variance to test for a significant difference among the means of the three treatments. State the null and alternative hypotheses: A) H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3 B) H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3   C)   H0: ?1 = ?2 = ?3Ha: Not all the population means are equal. D)H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3 E) H0: At least two of the population means are equal.Ha: At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. A) Do not reject H0. There is not sufficient evidence to conclude that the means of the three treatments are…
A researcher is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin Valerian Placebo n=6 n=10 n=4 N=20 M=14 M=13 M=9 G=250 T=84 T=130 T=36 ΣX2=3377 SS=60 SS=90 SS=37 a. Using symbols, state the hypotheses for a two-tailed test with α=0.05. b. Locate the critical region. In doing so, determine the degrees of freedom values.    c. Calculate the F-ratio.
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Looking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.
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