I have a few statistics problems that I need help on. Could someone help me out please?

1. A competency test has scores with a mean of 68 and a standard deviation of 6. A histogram of the data shows that the distribution is normal. Use the Empirical Rule to find the percentage of scores between 56 and 80

A. 95%

B. 99.7%

C. 50%

D. 68%

2.

SAT verbal scores are normally distributed with a mean of 406 and a standard deviation of 96. Use the Empirical Rule to determine what percent of the scores lie between 406 and 502.

A. 47.5%

B. 34%

C. 49.9%

D. 68%

3. Find the z-score for the value 88, when the mean is 95 and the standard deviation is 7.

A. z = -1.00

B. z = 0.85

C. z = -1.14

D. z = -0.85

4. For the mathematics part of the SAT the mean is 514 with a standard deviation of 113, and for the mathematics part of the ACT the mean is 20.6 with a standard deviation of 5.1. Bob scores a 660 on the SAT and a 27 on the ACT. Use z-scores to determine on which test he performed better.

A. ACT

B. SAT

I have a few statistics problems that I need help on. Could someone help me out please?

1. A the empircial rule states that about 95% fall within the 2nd st. d.

2. B - within 1 st. d is 68%, then divide by two

(only between 406-502 the whole would be 301-502)

3. A (88 - 95) / 7

4. A performed in 2 st.d of both

(660 - 514) / 2 = 73 SAT

(27 - 20.6) / 2 = 12.2 ACT