C6. As reported in Table 5.1, the mean SAT Evidence-Based Reading and Writing (ERW) score was 536 with a standard deviation of 102 in 2018. a. What percentage of students scored above 625? b. What percentage of students scored between 400 and 625? c. A college decides to adjust its admission policy. As a first step, the admissions committee decides to exclude student applicants scoring below the 20th percentile on the ERW SAT exam. Translate this percentile into a Z score. Then, calculate the equivalent SAT ERW test score.

Sarah and her fiancé are planning for their wedding. Distribution of the number of guests coming to the party is normal with the mean 100 and the standard deviation 10. They need to determine how many guests to book for food from a caterer. The caterer makes the following charges: $50 for each guest that is booked in advance; $90 for each guest who is not booked in advance but shows up on the wedding day. The caterer does not offer any refund even if some booked guests may not show up.                                                         Questions: What is the optimal number of guests to book in advance? How much Sarah can save by booking the optimal quantity from a) in advance? What is the expected number of guests that will come to their wedding? If Sarah and her fiancé book 90 guests in advance with the caterer, what is the probability of stock out? If Sarah and her fiancé book 100 guests in advance with the caterer, what is the expected number of meals to be wasted?

3. The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. a. What percent of passenger vehicles travel slower than 80 miles/hour? What percent of passenger vehicles travel between 60 and 80 miles/hour? B. How fast do the fastest 5% of passenger vehicles travel? C. The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5.

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 565 and standard deviation 116. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 21.3 and standard deviation 3.7. a. What is Elanor's standardized score? Round to 2 decimal places. b. What is Gerald's standardized score? Round to 2 decimal places. c. Assuming that both tests measure the same kind of ability, who has the higher score? O Gerald. O Elanor. O They both did equally welI.

D) How to determine the maximum number of cloudy days that would be considered usual for June?

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 515 and standard deviation 121. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 18.6 and standard deviation 3.3. a. What is Elanor's standardized score? Round to 2 decimal places. b. What is Gerald's standardized score? Round to 2 decimal places. c. Assuming that both tests measure the same kind of ability, who has the higher score? Gerald. Elanor. O They both did equally well.