A. About what percent of x values lie between the mean and one standard deviation (one sided)? (Enter an exact number as an integer, fraction, or decimal.) B. About what percent of x values lie between the first and third standard deviations (both sides)? (Enter an exact number as an integer, fraction, or decimal.) C. Suppose a normal distribution has a mean of three and a standard deviation of 1.5. What is the z-score of x = 2.5? (Round your answer to two decimal places.)

Use the normal distribution of SAT critical reading scores for which the mean is 500 and the standard deviation is 105. Assume the variable x is normally distributed. (a) What percent of the SAT verbal scores are less than 650​? (b) If 1000 SAT verbal scores are randomly​ selected, about how many would you expect to be greater than 525​? Click to view page 1 of the standard normal table. LOADING... Click to view page 2 of the standard normal table. LOADING...       Question content area bottom Part 1 (a) Approximately enter your response here​% of the SAT verbal scores are less than 650. ​(Round to two decimal places as​ needed.) Part 2 (b) You would expect that approximately enter your response here SAT verbal scores would be greater than 525. ​(Round to the nearest whole number as​ needed.)     z 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0.00 −3.4 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003…

B. Your process has a normal histogram with mean located at 10 mm, 1s points at 9.9 and 10.1 mm, 2s points at 9.8 and 10.2 mm, and 3s points at 9.7 and 10.3 mm. Construct a histogram and discuss the importance of sigma as a measure of variation.

The scores on an exam were normally distributed with a mean of 75 and a standard deviation of 8. There were 320 students that took the test.

The scores on a psychology exam were normally distributed with a mean of 56 and a standard deviation of 4. A failing grade on the exam was anything 2 or more standard deviations below the mean. What was the cutoff for a failing score? Approximately what percentage of the students failed? ..... The cutoff for a failing score was 49 (Simplify your answer.) Approximately 2.28 percent of the students failed. (Round to one decimal place as needed.)

Suppose the distribution of typing speeds in words per minute for experienced typists can be approximated by a normal curve with a mean of 60 wpm and a standard deviation of 15 wpm. Approximately what percent of these typists have typing speeds between 45 wpm and 90 wpm?

Normal Distribution Calculator: http://onlinestatbook.com/2/calculators/normal dist.html 2. Suppose the scores on a chemistry test were normally distributed with a mean of 78 and a standard deviation of 10. a. Label the horizontal axis appropriately on the Normal curve at right. b. Find the probability that the student earned fewer than 75 points. c. Find the probability that the student earned at least 70 points. 48 58 68 78 88 98 108 d. Find the probability that the student earned between 80 and 90 points. Shade the appropriate area in the figure, and then determine the proportion. e. Find the probability that the student earned either less than 80 points or more than 90 points.

a. z =-1.47 and z = 1.64 1.82 b. z=-0.44 and z = c. The region where z> 1.92 d. The region where z < 2.22 A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 52.2 mm and a standard deviation of 2.3 mm. What percent of the butterflies had a wingspan a. less than 48.5 mm? b. between 50 and 55 mm? 3. A highway study of 8000 vehicles that passed by a checkpoint found that their speeds were normally distributed, with a mean of 61 mph and a standard deviation of 7 mph. a. How many of the vehicles had a speed of more than 68 mph? b. How many of the vehicles had a speed of less than 40

Gestation Periods of Humans. Gestation periods of humans have a mean of 266 days and a standard deviation of 16 days. Let y denote the variable "gestation period" for humans.a. Find the standardized variable corresponding to y.b. What are the mean and standard deviation of the standardized variable?c. Obtain the z-scores for gestation periods of 227 days and 315 days. Round your answers to two decimal places.d. Interpret your answers in part (c).

Is a measure of 29 inches "far away" from a mean of 19 inches? Suppose the data come from a sample whose standard deviation is 2 inches. A. How many standard deviation is 29 inches from 19 inches? b. Is 29 inches far away from a mean of 19 inches? c. Suppose the standard deviation of the underlying data is 7 inches. Is 29 inches far away from a mean of 19 inches?