SAT math scores are normally distributed with the parameters below. ?=500?=100μ=500σ=100 What is the probability a randomly selected score is less than 590 points                           ["", "", "", "", ""]            What score separates the highest 5% of scores from the rest?

Suppose a random sample of n = 350 teenagers 13 to 17 years of age was asked if they use social media. Of those surveyed, 280 stated that they do use social media. Find the sample proportion of teenagers 13 to 17 years of age who use social media. The sample proportion is p= (Round to three decimal places as needed.) ...

A sample of n = 6 scores has a mean of M = 5. One person with a score of X= 12 is added to the distribution. What is the mean for the new set of scores? O M= 8

A score that is 2 points higher than the sample mean has a z-score of z = 0.5 and a score of X = 44 has a z-score of -1.00What is the sample mean?

B Choosing a topic Sk.. For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula 1 where p is the minimum percentage of scores that fall within k k2 is p = 1 - standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.2 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.2 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 64 percent of the scores? Note: To answer part c you will need to solve the equation for k.

The following data are given to you to find out whether the distribution is platykurtic: N- 100, Eα-15, Σα)= 97, Σα-33, Σα-253 and common factor (9) -3.