You may need to use the appropriate appendix table or technology to answer this question. A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 72 and a standard deviation of 13. If 68 percent of the students received grades of C or better, what is the minimum score of those who received Cs? O 58.57 O 65.87 O 78.13 O 85.43

C. H=34, o= 4.5, the score is 2.5 standard deviations above the mean

Please solve using R

If a variable has a mean of 53, a median of 62, and a standard deviation of 4, What is its skewness?

Tanya takes her Physics test and is told that her Z-score is 3.10. If the class mean was 75 and the standard deviation 5, what was Tanya's raw score?

Use z scores to compare the given values.   The tallest living man at one time had a height of 225 cm. The shortest living man at that time had a height of 136.8 cm. Heights of men at that time had a mean of 173.31 cm and a standard deviation of 5.54 cm. Which of these two men had the height that was more​ extreme?

Use z scores to compare the given values. The tallest living man at one time had a height of 246 cm. The shortest living man at that time had a height of 116.2 cm. Heights of men at that time had a mean of 170.86 cm and a standard deviation of 8.41 cm. Which of these two men had the height that was more extreme? and the z score for the shortest man is z = ☐, the man had the height that was more extreme. Since the z score for the tallest man is z = (Round to two decimal places.)

Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general? 42 41 39 31 23 21 18 17 16.8 16.1 O The range of the sample data is $ million. (Type an integer or a decimal.) The variance of the sample data is (Round to two decimal places as needed.) The standard deviation of the sample data is $ (Round to two decimal places as needed.) million Is the standard deviation of the sample a good estimate of the variation of salaries of TV personalities in general? O A. No, because there is an outlier in the sample data. B. Yes, because the sample is random. C. No, because the sample is not representative of the whole population. O D. Yes, because the standard deviation is an unbiased estimator. Next

Can you please help me with part a and b.

Please answer below: A college admissions office needs to compare scores of students who take the SAT vs ACT. The applicants that take the SAT have a mean of 896 and a standard deviation of 174. Those that take the ACT have a mean of 20.6 and a standard deviation of 5.2. 1- If an applicant Bobby scored 1080 on the SAT, how many points above the SAT mean did he score?  2- If applicant Kathy scored 28 on the ACT, how many points above the ACT mean did she score?  3- Which student scored better on his or her admission test scores?