Question
In: Math
Suppose it is known that the IQ scores of a certain population of adults are approxi-...
Suppose it is known that the IQ scores of a certain population of adults are approxi- mately normally distributed with a standard deviation of 15. A simple random sample of 25 adults drawn from this population had a mean IQ score of 105.
a) Is there evidence at 5% significance level that the average IQ in this population is not equal to 100?
Please also explain how you got the critical value.
Thanks!!!
Solutions
milcah answered 1 year agoRelated Solutions
1. Suppose it is known that the IQ scores of a certain population of adults are...
1. Suppose it is known that the IQ scores of a certain
population of adults are approxi- mately normally distributed with
a standard deviation of 15. A simple random sample of 25 adults
drawn from this population had a mean IQ score of 105.
a) Would we be able to reject Ho if we were to test it at 1%
significance level? Explain.
b)Construct and interpret the 95% confidence interval for
population average IQ from these data.
c)Based on the...
. It is known that scores on a certain IQ test follow a normal distribution with...
. It is known that scores on a certain IQ test follow a normal distribution with mean 100 and standard deviation 15. For the whole population of test-takers, what proportion of scores will be greater than 124.0? Also, the top 3% of test-takers will have scores greater than what value? Finally, consider a random group of 16 people who take the IQ test. For these 16 people, what is the probability that their average (mean) IQ score will be less...
Part III: Confidence Intervals for μ (σ known) Suppose IQ scores for adults follow a Normal...
Part III: Confidence Intervals for μ (σ known)
Suppose IQ scores for adults follow a Normal distribution with
a standard deviation of 15. A random sample of 49 adults yields an
average score of 100.
a) Construct 90%, 95%, and 99%
confidence intervals for μ.
b) What is happening to the width of
the confidence intervals as the confidence levels increase?
Explain why
this makes sense both practically and mathematically (based upon
the formula).
c) Using the known standard...
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Consider three possible conclusions:
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(a) Find the probability that a randomly selected person will
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(b) Find the probability that a randomly selected person will have
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.
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A certain IQ test is known to have a population mean of 100 and standard deviation...
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standard deviation of 15 in the general population. You want to
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Suppose that Psychology majors actually have an average IQ of
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IQ scores are known to be normally distributed. The mean IQ score is 100 and the...
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Excel
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and...
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.The indicated IQ score, x, is _______ (Round to one decimal place as needed.)Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. The area of the shaded region is _______ (Round to four decimal...
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and...
Find the indicated IQ score. The graph to the right depicts IQ
scores of adults, and those scores are normally distributed with a
mean of 100 and a standard deviation of 15.
x 0.75
The indicated IQ score, x, is ___
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