A group of students take a Statistics Exam where the average was M = 85 and the standard deviation was SD = 6.8. Answer the following questions regarding this distribution using your normal curve table. Depending on the problem, be sure to identify the raw scores, Z scores, what in particular you shaded when creating a curve and the final answer. What raw score is needed to be in the bottom 16%?

Exhibit 6-5The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.   Refer to Exhibit 6-5. What percentage of items will weigh between 6.4 and 8.9 ounces?

Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?

A study group takes a practice statistics exam. They find that the group has a mean score of 80 with a Standard Deviation of 5. Lily has a z-score of 1.9 and wants to know her raw score. Calculate her score.  the answer is Between 89.4 and 89.6 can you please show me the work, how do I find her score?

A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics from a data​ set, his height converts to the z score of 5.17. How many standard deviations is his height above the​ mean?

You are interested in whether or not two different measures of child behaviour are different. The measurement tools both require the child teacher to fillout a question about the child, you give both questionares to Avery teacher and obtain two scores. On the CBCL, Avery score is is 68.On the BASC, Avery score is 32. The CBCL has a mean of 100 and a stardard deviation of 15. The BASC has a mean of 50 and a standard deviation of 10. (a) what is Avery z score on CBCL (b) What is Avery z score on BASC (c) On which test is Avery score lower relative to the population (CBCL/BASC) (d) The cutoff score for clinical diagnosis for both tests of -2 on either test are considerd  clinically signifcantly  concern. Do these tests give the same resultling diagnosis ? (yesy/no)

You want to know the percentage of utility companies that earned revenue less than 67 million dollars. If the mean revenue was 50 million dollars and the data has a standard deviation of 7 million, find the percentage. Assume that the distribution is normal. Round your answer to the nearest hundredth.

Adrianna is trying to figure out the sample size for the data set she wants to collect. She thinks the population standard deviation could be as low as 120 or as high as 136. Explain to Adrianna the impact standard deviation will have on her sample size.