Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random sample of 150 people has a mean IQ between 102 and 103?

Suppose the average age of a Tulane undergraduate is 20 years with a standard deviation of 1.2 years. Suppose we obtain a random sample of 80 tulane undergraduates. Find the probability that the sample average is at least 20.3 years.

For a population with a mean of 100 and standard deviation of 16, what is the probability that a random sample of size 4 will have a mean between 110 and 130?

A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly selected adults are given an IQ test, what is the probability that the sample mean is between 85 and 125 points?

Scores on a recent national statistics exam were normally distributed with a mean of 80 and a standard deviation of 6. What is the probability that a randomly selected exam will have a score of at least 71? What percentage of exams will have scores between 89 and 92? If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award?

Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability of randomly selected adult has an IQ score between 89 and 111.

Assume that adults have IQ scores that are normally distributed with a mean of 101.3 and a standard deviation of 20.2. Find the probability that a randomly selected adult has an IQ greater than 136.4

Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability of randomly selected adult has an IQ score less than 115.

Assume that adults have IQ scores that are normally distributed with a mean of 96.9 and a standard deviation of 17.3. Find the probability that a randomly selected adult has an IQ greater than 116.5.

A researcher measures the amount of sugar in several cans of the same soda. The mean is 39.01 with a standard deviation of 0.5. The researcher randomly selects a sample of 100.  If the researcher wants to find the probability that the sum of the 100 values is greater than 3,910, what is the mean and standard deviation that should be used? mean=??? standard deviation=????