A random sample of n=4 individuals is selected from population with µ = 35, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M= 40. 1 with SS= 48. a. How much difference is there between the mean for the treated sample and the mean for the original population?(note: In a hypothesis test, this value forms the numerator of the t statistic.) b. If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard the standard error for M. (note: in a hypothesis test, this value is the denominator of the t statistic.) c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α=.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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A random sample of n=4 individuals is selected from population with µ = 35, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M= 40. 1 with SS= 48.

a. How much difference is there between the mean for the treated sample and the mean for the original population?(note: In a hypothesis test, this value forms the numerator of the t statistic.)

b. If there is no treatment effect, how much difference is expected between the sample mean and its population mean? That is, find the standard the standard error for M. (note: in a hypothesis test, this value is the denominator of the t statistic.)

c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α=.05.

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