9. To evaluate the effect of a treatment, a sample is obtained from a population with a mean of pu = 30, and the treatment is administered to the individuals %3D in the sample. After treatment, the sample mean is found to be M = 31.3 with a standard deviation of s = 3.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Remember, begin with a null statement about
the independent variable ( ex: the treatment had no effect for a two tail or for a one tail, state direction, the supplement
did not decrease..) Use equal and not equal signs for two tail and use greater than and less than signs for one tail.
Transcribed Image Text:Remember, begin with a null statement about the independent variable ( ex: the treatment had no effect for a two tail or for a one tail, state direction, the supplement did not decrease..) Use equal and not equal signs for two tail and use greater than and less than signs for one tail.
9. To evaluate the effect of a treatment, a sample is
obtained from a population with a mean of µ = 30,
and the treatment is administered to the individuals
in the sample. After treatment, the sample mean is
found to be M = 31.3 with a standard deviation of
s = 3.
a. If the sample consists of n = 16 individuals, are
the data sufficient to conclude that the treatment
has a significant effect using a two-tailed test
with a = .05?
b. If the sample consists of n = 36 individuals, are
the data sufficient to conclude that the treatment
has a significant effect using a two-tailed test
with α=.05?
c. Comparing your answer for parts a and b, how
does the size of the sample influence the outcome
of a hypothesis test?
Transcribed Image Text:9. To evaluate the effect of a treatment, a sample is obtained from a population with a mean of µ = 30, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 31.3 with a standard deviation of s = 3. a. If the sample consists of n = 16 individuals, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with a = .05? b. If the sample consists of n = 36 individuals, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α=.05? c. Comparing your answer for parts a and b, how does the size of the sample influence the outcome of a hypothesis test?
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