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 = 103?
p = 0.8413
p = 0.5793
p = 0.4207
p = 0.1578
The population of IQ scores forms a normal distribution with mu equals space 100 and sigma...
Suppose a population has a mean of mu equals 54 and a standard deviation of sigma equals 15. A sample of size n=36 is taken. The sampling distribution of the sample mean has which of the following characteristics? mu subscript top enclose x end subscript equals 1.5 and sigma subscript top enclose x end subscript space equals space 2.5 mu subscript top enclose x end subscript equals 1.5 and sigma subscript top enclose x end subscript space equals space 15...
Given a normal distribution with mu equals 103 and sigma equals 25, and given you select a sample of n equals 25, complete parts (a) through (d). a. What is the probability that X is less than 93? P( X < 93)= b. What is the probability that X is between 93 and 95.5? P(93< X than 95.5)= c. What is the probability that X is above 104.8? P( X > than 104.8)= d. There is a 63% chance that...
Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105 and a standard deviation sigma equals 20. Find the probability that a randomly selected adult has an IQ between 88 and 122. The probability that a randomly selected adult has an IQ between 88 and 122 is
Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100 μ=100 and a standard deviation sigma equals 15 σ=15. Find the probability that a randomly selected adult has an IQ less than 121 The probability that a randomly selected adult has an IQ less than121 is ________. (Type an integer or decimal rounded to four decimal places as needed.)
Intelligence quotient (IQ) scores are often reported to be normally distributed with a mean of 100 and a standard deviation of 15. (a) If a random sample of 50 people is taken, what is the probability that their mean IQ score will be less than 95? (b) If a random sample of 50 people is taken, what is the probability that their mean IQ score will be more than 95? (c) If a random sample of 50 people is taken,...
Assume that IQ's follow a Normal distribution with a mean mu=100 and standard deviation sigma=16. What is the probability that no more than 5 people in a random sample of size n=9 have IQ's between 90 and 110?
The population of scores from a standardized test forms a normal distribution with a mean of μ = 450 and a standard deviation of σ = 50. The average test score is calculated for a sample of n = 26 students. (a) What is the probability that the sample mean will be greater than M = 467? In symbols, what is p(M > 467)? (Round your answer to four decimal places.) (b) What is the probability that the sample mean...
The population of scores from a standardized test forms a normal distribution with a mean of μ = 450 and a standard deviation of σ = 50. The average test score is calculated for a sample of n = 26 students. (a) What is the probability that the sample mean will be greater than M = 467? In symbols, what is p(M > 467)? (Round your answer to four decimal places.) (b) What is the probability that the sample mean...
A simple random sample of size nequals 81 is obtained from a population with mu equals 73 and sigma equals 9 . ?(a) Describe the sampling distribution of x overbar . ?(b) What is Upper P left parenthesis x overbar greater than 74.35 right parenthesis ?? ?(c) What is Upper P left parenthesis x overbar less than or equals 70.7 right parenthesis ?? ?(d) What is Upper P left parenthesis 72.3 less than x overbar less than 74.85 right parenthesis...
Exercise 3: The Normal Distribution. The function NORMDIST(x, mu, sigma, TRUE) computes the probability that a normal observation with a fixed mean (mu) and standard deviation (sigma) is less than x. There is also a function for computing the inverse operation: the function NORM INV(p, mu, sigma) putes a value x such that the probability that a normal observation is less than x is com equal to P. A) Compute the probability that an observation from a N(3, 5) population...