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. MelatoninValerianPlacebo n=6n=10n=4N=20M=14M=13M=9G=250T=84T=130T=36ΣX2=3377SS=60SS=90SS=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.

A: Null Hypothesis: H0:μ1=μ2=μ3 Alternative Hypothesis: H1: At least two μi's are different.B) numerator degrees of freedom=number of categories-1=3-1=2 Denominator degrees of freedom=N-number of categories=20-3=17 Level of significance is 0.05. F critical value=3.5915, from the excel function, =F.INV.RT(0.05,2,17) Critical region: If the test statistic is greater than the critical value(=3.5915), then reject the null hypothesis.

Answered: A researcher is interested in the…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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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.

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