The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round 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?

The distances golf balls travel under laboratory testing conditions are normally distributed. The mean is 313 yards. The probability the golf ball travels further than 322 yards is 0.13. Find the probability a randomly selected golf ball travels between 304 yards and 322 yards. Express the answer as a decimal value rounded to the nearest hundredth.

Please answer B, C, & D.

In a city with three high schools, all the ninth graders took a Standardized Test, with these results: High School Mean score on test Number of ninth graders Glenwood 77 259 Central City 90 344 Lincoln High 66 171 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was 77.7 . Of course, that is incorrect. What is the mean score for all ninth graders in the city? USE EXCEL. Round your answer to one decimal place.

The local pilots association examined records from this year's census of its members. Tom is a member, and the census shows that he has 4210 hours of flight experience. The census also shows that among all members of the association the mean flight experience is 3095 hours with a standard deviation of 679 hours. Find the z-score of Tom's flight experience relative to the flight experiences of all the members of the pilots association. Round your answer to two decimal places.

The tourist bureau of the Caribbean Islands surveyed a sample of 5 United States tourists as they left to return home. The tourists were asked how many days they spent on their visits. Their responses were as follows. 6, 8, 10, 9, 7 Find the standard deviation of this sample of numbers. Round your answer to two decimal places.

the mean (and standard deviation) snowfalss for two cities are noted below.  Ottawa : Mean=98 inches per year, s=25 inches Bostone: mean= 44 inches per year, s=17 inches  In 2018, ottawa recieve 119 inches of snowfall, while boston recored 62 inches. What city had a worse winter in 2018 relative to its average?

Carla scored a 31 on her ACT and an 750 on her SAT.  If the mean and standard deviation for the ACT are 18 and 7, respectively; and the mean and standard deviation of the SAT are 500 and 150, respectively - what is her percentile rank on each exam? Percentile rank of ACT  Percentile rank of SAT  On which exam did she do better?

Note: The standard deviation is defined as the average distance of the class scores from the mean. Note: The variance is defined as average squared distance of the class scores from the mean. Sameer's score in a quiz was 25 and he was five standard deviations above the mean in this quiz. The mean was 20. The average squared distance of the scores from the mean in this quiz is: Select one: a. -3 b. 2 c. 3 d. -2 e. 1 f. -1