Question

Problem Page Suppose that IQ scores in one region are normally distributed with a standard deviation...

Problem Page Suppose that IQ scores in one region are normally distributed with a standard deviation of 15 . Suppose also that exactly 60% of the individuals from this region have IQ scores of greater than 100 (and that 40% do not). What is the mean IQ score for this region? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.

Homework Answers

Answer #1

Solution:-

Given that,

x = 100

standard deviation = = 15

Using standard normal table,

P(Z < z) = 60%

= P(Z < z) = 0.60  

= P(Z < 0.2534 ) = 0.60

z = 0.2534

Using z-score formula,

x = z * +

100 = 0.2534 * 15 +

= 100 - 3.801

= 96.2

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that the lifetimes of TV tubes are normally distributed with a standard deviation of 1.1...
Suppose that the lifetimes of TV tubes are normally distributed with a standard deviation of 1.1 years. Suppose also that exactly 40% of the tubes die before 5 years. Find the mean lifetime of TV tubes. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
Suppose that scores on a particular test are normally distributed with a mean of 110 and...
Suppose that scores on a particular test are normally distributed with a mean of 110 and a standard deviation of 19 . What is the minimum score needed to be in the top 15% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to one decimal place.
1) Find the area of the shaded region. The graph to the right depicts IQ scores...
1) Find the area of the shaded region. 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=90 The area of the shaded region is __. (Round to four decimal places as​ needed.) 2) Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100...
Suppose that are creatine kinase levels among healthy males are normally distributed with a standard deviation...
Suppose that are creatine kinase levels among healthy males are normally distributed with a standard deviation of 22 units/L research shows that exactly 5% of the healthy males have a creatine kinase level above 151 units / L what is the mean creatine level in healthy males? carry your intermediate computations to at least four decimal places. round your answer to one decimal place.
IQ test scores are normally distributed with a mean of 100 and a standard deviation of...
IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. a) Find the IQ scores that represent the bottom 35% . b) Find the IQ score that represents the 3rd Quartile c) Find the IQ score for the top 5%
IQ scores are normally distributed with a mean of 110 and a standard deviation of 16....
IQ scores are normally distributed with a mean of 110 and a standard deviation of 16. Find the probability a randomly selected person has an IQ score greater than 115.
IQ scores are normally distributed with a mean of 100 and standard deviation 15. what is...
IQ scores are normally distributed with a mean of 100 and standard deviation 15. what is the IQ score for an area of 0.9918
Suppose that the scores on a reading ability test are normally distributed with a mean of...
Suppose that the scores on a reading ability test are normally distributed with a mean of 60 and a standard deviation of 8. What proportion of individuals score at least 49 points on this test? Round your answer to at least four decimal places.
IQ scores among the general population have a mean of 100 and a standard deviation of...
IQ scores among the general population have a mean of 100 and a standard deviation of 15 . A researcher claims that the standard deviation, σ , of IQ scores for males is less than 15 . A random sample of 16 IQ scores for males had a mean of 98 and a standard deviation of 10 . Assuming that IQ scores for males are approximately normally distributed, is there significant evidence (at the 0.1 level of significance) to conclude...
A population of the IQ scores of 22,000 individuals is normally distributed with μ = 100...
A population of the IQ scores of 22,000 individuals is normally distributed with μ = 100 and σ = 15. Suppose one individual is selected at random from this population and you had to guess the individual’s IQ score within 13 points to win $1,000. What IQ score would you guess for the best chance of winning and what would be the probability of winning the $1,000?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT