Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council’s GMAT examination. Scores on the GMAT are roughly normally distributed with a mean of 527 and a standard deviation of 112. How high must an individual score on the GMAT in order to score in the highest 5%? Answer must be in a whole number.

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $45,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. Find the 80th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.)

The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances that someone is earning more than $20 an hour?

Legs for a wooden dining room table are produced by a computer numerically controlled (CNC) Iathe. The cutting blade lasts a mean if 550 h with a standard deviation of 20 h. To avoid cutting errors, the shop manager would like to keep the probability of a failure to less than 0.002. How many hours should the blade be used before replacement? Explain.

Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in  2011  was  $110.55 . Assume the amounts are normally distributed with standard deviation  $24.00 . Use the TI-84 Plus calculator to answer the following.     The median of the bill amounts is  $ .

Ten neighborhood kids went out to score some candy on Halloween night. Here's a list of the number of treats they collected: 45, 34,56, 32, 10, 32, 62, 11, 55, 34 a. Find the mean and median number of treats. Mean= type your answer... Median= type your answer... b. Find the standard deviation of treats. standard deviation = type your answer.... c. The kid who came home with 62 treats got even greedier and went back out. At the end of the night he ended up with 262 treats! Find the new mean and median for these ten children. Mean= type your answer..... Median= type your answer..... d. How do the new mean and median compare to the original values? Mean choose your answer... Median choose your answer... e. Which does a better job describing the typical number of the new data? C 5 t A 6 DELL & O * 8 i ( ) O P

A population has a Mean of 100 and a standard deviation of 15.  A sample of 20 college students is measured and the Sample mean is 125.  What is the standard error?  Show the math.

Use the range rule of thumb to identify the values that are significantly​ low, the values that are signficantly​ high, and the values that are neither significantly low nor significantly high. A test is used to assess readiness for college. In a recent​ year, the mean test score was 20.5 and the standard deviation was 5.1. Identify the test scores that are significantly low or significantly high

Heights of NBA All-Star players are normally distributed. 97.5% of players have a height of 85 inches or less, while 2.5% of players have a height of 71 inches or less. What is the mean NBA All-Star player height and standard deviation? Round your answer to two decimal places.

Pearson publishes textbooks each semester and the mean number of textbook pages published by Pearson for 2020 is 568 with a standard deviation of 150 pages.  What is the chance you will have to read a textbook published by Pearson in 2020 that has more than 733 pages? Write your answer as a percent.