Introduction to Hypothesis Testing266CHAPTER 8and plans to administers the test to a sample of25 of today's high school students. Tenago, the scores on this IQ test produced a standard-ized distribution with a mean of pstandard deviation o =treatment effect and plans to use a two-tailed hypoth-esis test with ayearsn == .05.100 and aa. Compute the power of the test if the researcher uses9 individuals. (See Example 8.6.)of the test if the researcher15. If there actually has beena sample of na 7-point increase in the average IQ during the10 years, then find the power of the hypothesis testb. Computepastthepower16 individuals.uses a sample of n20. A researcher plans to conduct an experiment evalu-ating the effect of a treatment. A sample of n = 9participants is selected and each person receives thetreatment before being tested on a standardized dex-terity task. The treatment is expected to lower scoreson the test by an average of 30 points. For the regularpopulation, scores on the dexterity task form a normaldistribution with ufor each of the following.a. The researcher uses a two-tailed hypothesis test.05 to determine if the data indicate a10with a =significant change in IQ over the pastb. The researcher uses a one-tailed hypothesis testwith ayears..05 to determine if the data indicate apast 10 years.significant increase in IQ over the240 and o =30.22. Briefly explain how increasing sample size influenceseach of the following. Assume that all other factorsa. If the researcher uses a two-tailed test witha= .05, what is the power of the hypothesis test?are held constant.b. Again assuming a two-tailed test witha =.05,a. The size of the z-score in a hypothesis test.b. The size of Cohen's d.what is theof the hypothesis test if thepowersample size is increased to n25?of a hypothesis test.Theс.power21. Research has shown that IQ scores have been increas-ing foris called the Flynn effect and the data indicate that theincreaseyears (Flynn, 1984, 1999). The phenomenon23. Explain how the power of a hypothesis test is influ-enced by each of the following. Assume that all otherfactors are held constant.about 7 points pertodecade.appearsaverageTo examine this effect, a researcher obtains an IQ testa. Increasing the alpha level from .01 to .05.b. Changing from a one-tailed test to a two-tailed test.with instructions for scoring from 10years ago

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Asked Oct 30, 2019
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Number 21 

Introduction to Hypothesis Testing
266
CHAPTER 8
and plans to administers the test to a sample of
25 of today's high school students. Ten
ago, the scores on this IQ test produced a standard-
ized distribution with a mean of p
standard deviation o =
treatment effect and plans to use a two-tailed hypoth-
esis test with a
years
n =
= .05.
100 and a
a. Compute the power of the test if the researcher uses
9 individuals. (See Example 8.6.)
of the test if the researcher
15. If there actually has been
a sample of n
a 7-point increase in the average IQ during the
10 years, then find the power of the hypothesis test
b. Compute
past
the
power
16 individuals.
uses a sample of n
20. A researcher plans to conduct an experiment evalu-
ating the effect of a treatment. A sample of n = 9
participants is selected and each person receives the
treatment before being tested on a standardized dex-
terity task. The treatment is expected to lower scores
on the test by an average of 30 points. For the regular
population, scores on the dexterity task form a normal
distribution with u
for each of the following.
a. The researcher uses a two-tailed hypothesis test
.05 to determine if the data indicate a
10
with a =
significant change in IQ over the past
b. The researcher uses a one-tailed hypothesis test
with a
years.
.05 to determine if the data indicate a
past 10 years.
significant increase in IQ over the
240 and o =
30.
22. Briefly explain how increasing sample size influences
each of the following. Assume that all other factors
a. If the researcher uses a two-tailed test with
a= .05, what is the power of the hypothesis test?
are held constant.
b. Again assuming a two-tailed test witha =
.05,
a. The size of the z-score in a hypothesis test.
b. The size of Cohen's d.
what is the
of the hypothesis test if the
power
sample size is increased to n
25?
of a hypothesis test.
The
с.
power
21. Research has shown that IQ scores have been increas-
ing for
is called the Flynn effect and the data indicate that the
increase
years (Flynn, 1984, 1999). The phenomenon
23. Explain how the power of a hypothesis test is influ-
enced by each of the following. Assume that all other
factors are held constant.
about 7 points per
to
decade.
appears
average
To examine this effect, a researcher obtains an IQ test
a. Increasing the alpha level from .01 to .05.
b. Changing from a one-tailed test to a two-tailed test.
with instructions for scoring from 10
years ago
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Introduction to Hypothesis Testing 266 CHAPTER 8 and plans to administers the test to a sample of 25 of today's high school students. Ten ago, the scores on this IQ test produced a standard- ized distribution with a mean of p standard deviation o = treatment effect and plans to use a two-tailed hypoth- esis test with a years n = = .05. 100 and a a. Compute the power of the test if the researcher uses 9 individuals. (See Example 8.6.) of the test if the researcher 15. If there actually has been a sample of n a 7-point increase in the average IQ during the 10 years, then find the power of the hypothesis test b. Compute past the power 16 individuals. uses a sample of n 20. A researcher plans to conduct an experiment evalu- ating the effect of a treatment. A sample of n = 9 participants is selected and each person receives the treatment before being tested on a standardized dex- terity task. The treatment is expected to lower scores on the test by an average of 30 points. For the regular population, scores on the dexterity task form a normal distribution with u for each of the following. a. The researcher uses a two-tailed hypothesis test .05 to determine if the data indicate a 10 with a = significant change in IQ over the past b. The researcher uses a one-tailed hypothesis test with a years. .05 to determine if the data indicate a past 10 years. significant increase in IQ over the 240 and o = 30. 22. Briefly explain how increasing sample size influences each of the following. Assume that all other factors a. If the researcher uses a two-tailed test with a= .05, what is the power of the hypothesis test? are held constant. b. Again assuming a two-tailed test witha = .05, a. The size of the z-score in a hypothesis test. b. The size of Cohen's d. what is the of the hypothesis test if the power sample size is increased to n 25? of a hypothesis test. The с. power 21. Research has shown that IQ scores have been increas- ing for is called the Flynn effect and the data indicate that the increase years (Flynn, 1984, 1999). The phenomenon 23. Explain how the power of a hypothesis test is influ- enced by each of the following. Assume that all other factors are held constant. about 7 points per to decade. appears average To examine this effect, a researcher obtains an IQ test a. Increasing the alpha level from .01 to .05. b. Changing from a one-tailed test to a two-tailed test. with instructions for scoring from 10 years ago

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Expert Answer

Step 1

a)

As alpha level is given and two-tailed hypothesis test is used then before treatment z-score value is calculated as 1.96 using z table. Standard error is calculated as follows:

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Vn 15 25 -3

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Step 2

Now, X value before treatment is calculated as:

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X-и Z= m X-100 1.96= X =105.88

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Step 3

Now calculate the probability of X greater than 10...

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X-и 105.88-107 Р(X > 105.88) %3 Р| 3 От = P(Z>-0.37) =0.6443

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