Question

Anthony has an IQ of 89 and Joseph has an IQ of 112. If these scores are from the Stanford-Binet test, then

Answer 1

The question involves calculating the probability that the sample mean of IQ scores from a sample of 20 adults will be between 85 and 125 using the central limit theorem and the properties of the normal distribution.

Step-by-step explanation:

The question is about calculating the probability of a sample mean being within a certain range when the sample size is known, and the population mean and standard deviation are given. This type of problem typically involves knowledge of statistics, particularly concepts related to the central limit theorem and the properties of the normal distribution. Since the average IQ score is given as 105 with a standard deviation of 20, and we have a sample size of 20 adults, we can use this information to calculate the probability that their mean IQ scores will fall between 85 and 125.

Using the central limit theorem, we know that the sampling distribution of the mean will be normally distributed if the sample size is sufficiently large (which is generally considered to be the case if n > 30, but 20 is often large enough to apply the theorem as a reasonable approximation). To find the probability, we would standardize the given range using the standard error of the mean and then use the standard normal distribution (Z-distribution) to find the corresponding probabilities.

Answer 2

Then, I am on the struggle bus! What are the options to this here question Ya see I cannot answer this here question if I don't have any options to choose from ya see it's like going to a restaurant and not having a menu so you don't know what they have!