It is known that IQ of students at a certain elementary school
is normally distributed
with mean μ = 100 and standard deviation σ = 16.
Calculate the probability that in a random sample of n = 4 students
the observed sample mean is within 10 units of the true population mean.
Answer to four decimal places.
It is known that IQ of students at a certain elementary school is normally distributed with...
Assume that IQ scores are normally distributed, with a standard deviation of 12 points and a mean of 100 points. If 50 people are chosen at random, what is the probability that the sample mean of IQ scores will not differ from the population mean by more than 2 points? (Round your answer to four decimal places.)
The IQ scores of college students are normally distributed with the mean of 120 and standard deviation of 10. If a random sample of 25 students is taken, what is the probability that the mean of this sample will be between 120 and 125. (49.38%)
Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 120. The probability that a randomly selected adult has an IQ less than 120 is____? (Type an integer or decimal rounded to four decimal places as needed.)
Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 84 and 116. The probability that a randomly selected adult has an IQ between 84 and 116 is___? (Type an integer or decimal rounded to four decimal places as needed.)
Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 84 and 116. The probability that a randomly selected adult has an IQ between 84 and 116 is___? (Type an integer or decimal rounded to four decimal places as needed.)
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.)
25> Consider a variable known to be Normally distributed with unknown mean μ and known standard deviation σ-10. (a) what would be the margin of error of a 95% confidence interval for the population mean based on a random sample size of 25? The multiplier for a z confidence interval with a 95% confidence level is the critical value z. 1.960. (Enter your answer rounded to three decimal places.) margin of error 25 (b) What would be the margin of...
A random sample of 100 students is selected from a certain school. They are given an IQ test which has a known population standard deviation of 11. The sample mean is found to be 112. What type of inference procedure is appropriate here? Why?
Assume that adults have IQ scores that are normally distributed with a mean of μ-100 and a standard deviation σ-20. Find the probability that a randomly selected adult has an IQ less than 124 Click to view page 1 of the table. Click to view page 2 of the table The probability that a randomly selected adult has an IQ less than 124 is Type an integer or decimal rounded to four decimal places as needed.)
Suppose you wish to determine if the mean IQ of students on a certain campus is different from the mean IQ in the general population, 100. To conduct this study, you obtain a simple random sample of 80 students on this campus, administer an IQ test, and record the results. The mean IQ of the sample of 80 students is found to be 108.5 with a standard deviation of 12.9. Complete parts (a) through (c) below. Determine the critical value(s)...