The population of IQ scores form a normal distribution with a μ = 100 and a...

The population of IQ scores form a normal distribution with a μ = 100 and a standard deviation of σ = 10. What is the probability of obtaining a sample mean greater than M = 97, For a random sample of n = 9 For a random sample of n = 25 people

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orchestra answered 2 years ago

The population of IQ scores forms a normal distribution with mu equals space 100 and sigma...

The population of IQ scores forms a normal distribution with mu equals space 100 and sigma space equals space 15. If you take a random sample of 25 people who have taken the IQ test, what is the probability of obtaining a sample mean greater than M = 94?

IQ scores in a large population have a normal distribution with mean=100 and standard deviation=15. What...

IQ scores in a large population have a normal distribution with mean=100 and standard deviation=15. What is the probability the sample mean for n=2 will be 121 or higher? (I understand the z score equals 1.98,could you please explain to me how the final answer is equal to 0.0239?thanks.) Also, why do we use 1 and subtract 0.9761 to get 0.0239? Where does 0.9761 come from?

2) Suppose that scores on the SAT form a normal distribution with μ = 500 and...

2) Suppose that scores on the SAT form a normal distribution with μ = 500 and σ = 100. A high school counselor has developed a special course designed to boost SAT scores. A random sample of n = 16 students is selected to take the course and then the SAT. The sample had an average score of 554. Does the course have an effect on SAT scores? a) What are the dependent and independent variables in this experiment?...

The IQ scores of MBA students follow a normal distribution with a population mean of 120...

The IQ scores of MBA students follow a normal distribution with a population mean of 120 points and a population standard deviation of 12. A random sample of 36 MBA students is chosen. 1. What is the probability that a randomly chosen sample of 36 MBA students has an average IQ less than 115? 2. What is the 91st percentile of sample average IQ’s of size 36 taken from the population of MBA students? 3. Calculate the bounds that determine...

A sample of n=25 scores is selected from a normal population with μ = 100 and...

A sample of n=25 scores is selected from a normal population with μ = 100 and σ = 20 . a. What is the probability that the sample mean will be greater than 120? b. What is the probability that the sample mean will be less than 105? c. What is the p (90 < M < 110)?

IQ scores are standardized such that the population of scores has a mean of 100 and...

IQ scores are standardized such that the population of scores has a mean of 100 and a variance of 225. Assuming IQ scores have a normal distribution, what proportion of scores will fall below 80? What proportion will fall below 75? What values occur in the top 9% of the distribution? What values occur in the bottom 9% of the distribution?

Problem 8 IQ scores have a normal distribution with mean µ = 100 and standard deviation...

Problem 8 IQ scores have a normal distribution with mean µ = 100 and standard deviation σ = 15. (A) Find the probability that the IQ score of a randomly selected person is smaller than 107. (B) Find the 95th percentile of IQ scores.

. 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...

The IQ scores of children in a city are assumed to follow a normal distribution with...

The IQ scores of children in a city are assumed to follow a normal distribution with unknown mean μ and known variance σ^2. A random sample IQ scores with a size of 25 is drawn by a researcher. Based on this sample, a 97% confidence interval for μ is found to be (91.49,104.51). (a) Show that σ=15. (b) Another random sample of IQ scores with a size of 11 drawn and the scores are recorded as follows: 134, 95,102, 99,...

Assuming IQ scores are normally distributed in the population with a mean of 100 and a...

Assuming IQ scores are normally distributed in the population with a mean of 100 and a standard deviation of 16, what percentages of IQ scores are less than 120, between 110 and 130, and what IQ will place you in the top 8% of the population?

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