Question

It is assumed that individual IQ scores (denoted as X) are normally distributed with mean (µ)...

It is assumed that individual IQ scores (denoted as X) are normally distributed with mean (µ) and standard deviation (σ) given as µ = 100 and σ = 15 Use normal table and conversion rule to answer questions below.

1. Find proportion of individuals with IQ score below 109

2. Find a chance that a randomly selected respondent has the IQ score above 103

3. What proportion of individuals would be within the interval (97 ≤ X ≤ 106)

4. What X-value corresponds to z-score equal to 1.28?

Homework Answers

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
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?
IQ scores are standardized to produce a normal distribution with a mean of µ = 100...
IQ scores are standardized to produce a normal distribution with a mean of µ = 100 and a standard deviation of σ = 15. Find the proportion of the population in the following IQ category: IQ greater than 160. The proportion is Group of answer choices .0039 .49997 .008 .00003
Most IQ scores are normally distributed with μ=105 and σ= 12. What is the probability that a...
Most IQ scores are normally distributed with μ=105 and σ= 12. What is the probability that a random sample of 20 individuals has an IQ score: 1) less than 98? 2) between 100 and 105? 3) above 103? (can someone please show me how to answer this...i keep mixing up my formulas ?)
Adults have a IQ scores that are normally distributed with a mean of a 100 and...
Adults have a IQ scores that are normally distributed with a mean of a 100 and a standard deviation of 15. a) what percentage of scores are less than 103? b) what percentage of scores are between 60 and 130? c) what is the IQ score seperating the bottom 25% from the rest? thank you.
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%
For the following, consider that IQ scores are normally distributed with a mean of 100 and...
For the following, consider that IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a person has an IQ below 60 Find the probability that a randomly selected person has an IQ between 60 and 85 Find the probability that a randomly selected person has an IQ above 118. Find the IQ score that cuts off the lower 25% of the population from the upper 75%. Find the probability...
4.2. Q: In a study on a 99% confidence interval on IQ scores (Data with mean...
4.2. Q: In a study on a 99% confidence interval on IQ scores (Data with mean µ =100 and standard deviation σ = 15), the researcher would like to achieve a margin error of 3 IQ score units. Find the number, n, of IQ scores that should be sampled to achieve that error? Answer: A: 120; B: 166; C: 97; D: 216
Suppose scores on an IQ test are normally distributed. If the test has a mean of...
Suppose scores on an IQ test are normally distributed. If the test has a mean of 100 and a standard deviation of 10. 1. What is the probability that a person who is randomly selected will score between 83 and 102? 2. What is the probability that a person who is randomly selected will score more than 119? 3. What IQ score corresponds to the 83rd percentile for all people?
Assume that adults have IQ scores that are normally distributed with a mean of 100 and...
Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a randomly selected adult has an IQ between 115 and 130.           (a) .6700      (b) .1359      (c) .9082      (d) .1596      (e) .1628 5        Refer to question 4 above. Find the IQ score at Q1 or the 25th percentile. This is the score which separates the bottom 25% from the top 75%.           (a) 89.95      (b)...
IQ scores are normally distributed with mean of 100 and a standard deviation of 15. If...
IQ scores are normally distributed with mean of 100 and a standard deviation of 15. If MENSA only accepts people with an IQ score at the 99th percentile or higher, what is the lowest possible IQ score you can have and still be admitted to the organization? Mental disability has traditionally been diagnosed for anyone with an IQ of 70 or lower. By this standard, what proportion of the population would meet criteria to be diagnosed with a mental disability?...