1. A population is normally distributed with a mean of -30 (negative 30) and a standard deviation of 4. (Show work) a. What is the mean of the sampling distribution (UM) for this population? b. If a sample of 16 participants is selected from the population, what is the standard error of the mean?

7. Calculate -scores for the following raw scores taken from a population with a mean of 100 and standard deviation of 16: 112, 109, 56, 88, 135, 99 Answer: 2 = 0.75, 0.56, -2.75, -0.75, 2.19, -0.06 show work for these please

7. A distribution with u = 35 and s = 8 is being standardized so that the new mean and standard deviation will be u = 50 and s = 10. In the new, standardized distribution your score is X = 45. What was your score in the %3D original distribution?

The mean score for first exam in your first organic chemistry class (section A) was 60, with a standard deviation of 5. Your score on the exam was 70. A. How many standard deviations above the mean is your score?

15. A sample has a mean M = 75. In the sample, a score of X = 95 corresponds to z = 2.5 What is the standard deviation for the sample?

PLEASE ANSWER ALL THE PARTS OF THE QUESTION (THIS IS NOT A GRADED ASSIGNMENT) 1. Suppose the distribution of cholesterol levels in a population of men is approximately normally distributed with a mean of 200 mg/dL and a standard deviation of 32 mg/dL. A. What is the standard deviation of the sampling distribution of ˉxˉ for n=25? Write your answer as a decimal value rounded to four decimal places. B. What condition allows us to say that the value in part (A) is approximately true? C. What is the shape of the sampling distribution of ˉxˉ for n=25? D. What condition allows us to answer as we did in part (C)? E. You take a random sample of 25 males from this population and find the average level of the sample to be 188 mg/dL.  How unusual is this sample?  Show your work (conditions, mechanics, and context)

3. (a) In a distribution of 1200 values, the mean is 75 and the standard deviation is 12. Using Chebyshev's Theorem, at least how many values will be between 51 and 99?