at percent of the total population is found between the mean and the z-score given? (Use the standard normal distribution table and enter your answer to two decimal places.) z = 3.31

A distribution of values is normal with a mean of 190 and a standard deviation of 4.Find the interval containing the middle-most 30% of scores: Enter your answer using interval notation. Example: (2.1,5.6)

Use the normal distribution of IQ​ scores, which has a mean of 95 and a standard deviation of 12​, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity. Standard Scores and Percentiles for a Normal Distribution (cumulative values from the left) Full data set    Standard score ​% Standard score ​% −3.0 0.13 0.1 53.98 −2.5 0.62 0.5 69.15 −2 2.28 0.9 81.59 −1.5 6.68 1 84.13 −1 15.87 1.5 93.32 −0.9 18.41 2 97.72 −0.5 30.85 2.5 99.38 −0.1 46.02 3 99.87 0 50.00 3.5 99.98   The percentage of scores between 65 and 113 is __?

The distribution of heights in a population of women is approximately normal. Sixteen percent of the women have heights less than 62 inches. About 97.5% of the women have heights less than 71 inches. Use the empirical rule to estimate the mean and standard deviation of the heights in this population. Mean: K inches Standard Deviation: inches

Among freshmen at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 100. The SAT score of a student whose score is at the 75th percentile is closest to what value? 665 590 690 620

A distribution of values is normal with a mean of 120 and a standard deviation of 4.Find the interval containing the middle-most 68% of scores: Enter your answer using interval notation. Example: (2.1,5.6)

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 The area of the shaded region is (Round to four decimal places as needed) 96 G

Find the percent of the total area under the standard normal curve between the following z-scores. z=-0.86 and z=0.86 The percent of the total area between z- -0.86 and z 0.86 is enter your response here %. (Round to the nearest integer.)

Use the table below to find the percentage of data items in a normal distribution that lie a. below and b. above a​ z-score of negative 1.00 −1.00.

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Click to view page 1 of the table. Click to view page 2 of the table. 120 The area of the shaded region is - (Round to four decimal places as needed.)