A sample is selected from a population with µ = 80. After a treatment is administered to the individuals, the sample mean is found to be M = 75 and the variance is s2 = 100. A. If the sample has n = 4 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. SM = tcritical = tcalculated = _ Decision = B. If the sample has n = 25 scores, then calculate the estimated standard error and determine whether the sample is sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with α = .05. SM = tcritical = tcalculated = _ Decision = ____________ C. Describe how increasing the size of the sample affects the standard error and the likelihood of rejecting the null hypothesis.

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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A sample is selected from a population with µ = 80. After a treatment is administered to the individuals, the sample mean is found to be M = 75 and the variance is s² = 100.

A. If the sample has n = 4 scores, then calculate the estimated standard error and

determine whether the sample is sufficient to conclude that the treatment has a

significant effect? Use a two-tailed test with α = .05.

S_{M =}__________________

t_critical = __________________

t_{calculated = ___________________________}

Decision = __________________

B. If the sample has n = 25 scores, then calculate the estimated standard error and

determine whether the sample is sufficient to conclude that the treatment has a

significant effect? Use a two-tailed test with α = .05.

S_{M =}__________________

t_critical = __________________

t_{calculated = ___________________________}

Decision = __________________

C. Describe how increasing the size of the sample affects the standard error and the

likelihood of rejecting the null hypothesis.

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