Over 350 students look a college calculus final exam. The scores of the students

Question

Over 350 students look a college calculus final exam. The scores of the students follow a normal distribution. Using the information given below, determine the mean and the standard deviation for the students' scores. Give your answers to the nearest tenth of a percent. 32% of the students scored either less than 63.3% or more than 85.9%. Only the top 2.5% of students scored higher than a 97% on the exam. Alexander, a meteorologist, is studying the daily high temperatures over the past 50 years during the month of July for the cities of Chicago and Phoenix (a sample size of 1550 July days for each city). Alexander found that in Chicago, the middle 95% of July days have a high temperature between 70 degree F and 98 degree F, while in Phoenix, the middle 95% of July days have a high temperature between 94 degree F and 110 degree F. On one particular July day, the temperature in Phoenix is exactly 17 degree F higher than the temperature in Chicago. Which of the following is not a valid pair of z-scores for the two cities? Circle your answer. A polling company defines a "likely voter" as someone who has voted in each of the previous two elections. The company asks 815 likely voters which candidate they support in the upcoming election. Find the margin of error for the poll to the nearest tenth of a percent.

Explanation / Answer

If 32% scores lie either below 63.3% or above 85.9%, this means 68% scores lie between 63.3% and 85.9%.

Therefore:

– = 63.3

+ = 85.9

By solving both equations,

= 74.6%

= 11.3%

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