Question
In: Statistics and Probability
The average IQ in America is 100. A researcher wants to test the hypothesis that left-handed...
The average IQ in America is 100. A researcher wants to test the hypothesis that left-handed individuals have different IQs than the average American. He administers an IQ test to 8 left-handed individuals. They have mean 97.4 with a standard deviation of 13.
Test the hypothesis (=.05) that left handed individuals have different IQs than the average Ameican.
BE SURE TO ANSWER ALL PARTS OF THE QUESTION AND SHOW YOUR WORK WHEN YOU CAN.
a) What is the appropriate test?
b) State the null Hypothesis (in words and with means).
c) State the alternative hypothesis (in words and with means).
d) Find the critical value.
e) Calculate the obtained statistic.
f) Report the results. Make a decision.
g) What does your decision mean?
Solutions
orchestra answered 1 year agoRelated Solutions
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In the North American population, the average IQ is 100. A team
of scientists wants to test a new medication to see if it has
either a positive or negative effect on intelligence or no effect
at all. A sample of 39 participants who have taken the medication
has been investigated and their IQ after treatment is noted as
following:
95 90 100 110 108 105 98 105 120 115 99 100 90
118
112 110 120 120 95 100 90 110 100 105 100 90
105 103 108 112
114 100 88 95 105 103 105 107 98
1-Does
the medication influence the North American population IQ? Explain
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You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less
than 100 at the .05 significance level. You determine the
hypotheses are:
Ho: μ=100
H1:μ<100
You take a simple random sample of 38 individuals and find the
mean IQ score is 95.8, with a standard deviation of 15.2. Let's
consider testing this hypothesis two ways: once with assuming the
population standard deviation is not known and once with assuming
that it is known.
Round to three decimal...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less
than 100 at the .05 significance level. You determine the
hypotheses are:
Ho: μ=100
H1:μ<100
You take a simple random sample of 38 individuals and find the
mean IQ score is 95.8, with a standard deviation of 15.2. Let's
consider testing this hypothesis two ways: once with assuming the
population standard deviation is not known and once with assuming
that it is known.
Round to three decimal...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less
than 100 at the .01 significance level. You determine the
hypotheses are:
Ho: μ=100
H1:μ<100
You take a simple random sample of 79 individuals and find the
mean IQ score is 96.1, with a standard deviation of 14.8. Let's
consider testing this hypothesis two ways: once with assuming the
population standard deviation is not known and once with assuming
that it is known.
Round to three decimal...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less
than 100 at the .025 significance level. You determine the
hypotheses are:
Ho: μ=100
H1:μ<100
You take a simple random sample of 60 individuals and find the
mean IQ score is 95.7, with a standard deviation of 16. Let's
consider testing this hypothesis two ways: once with assuming the
population standard deviation is not known and once with assuming
that it is known.
Round to three decimal...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less
than 100 at the .05 significance level. You determine the
hypotheses are:
Ho: μ=100Ho: μ=100
H1:μ<100H1:μ<100
You take a simple random sample of 48 individuals and find the
mean IQ score is 97.3, with a standard deviation of 14.6. Let's
consider testing this hypothesis two ways: once with assuming the
population standard deviation is not known and once with assuming
that it is known.
Round to three...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less
than 100 at the .025 significance level. You determine the
hypotheses are:
Ho: μ=100
H1:μ<100
You take a simple random sample of 96 individuals and find the
mean IQ score is 96.2, with a standard deviation of 15.7. Let's
consider testing this hypothesis two ways: once with assuming the
population standard deviation is not known and once with assuming
that it is known.
Round to three decimal...
You wish to test the claim that the average IQ score is less than 100 at...
You wish to test the claim that the average IQ score is less
than 100 at the .05 significance level. You determine the
hypotheses are: H o : μ = 100 H 1 : μ < 100 You take a simple
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10 heavy users, she found an average happiness score of 4.4 with a
variance of 4.3, whereas the 10 light users reported an average
happiness score of 6.5 with a variance of 3.4.
heavy
light
4
6
6
6...
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