Reference no: EM132414162

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 365 grams and a standard deviation of 14 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final answers to 2 decimal places.)

a. Highest 10 percent

b. Middle 50 percenttoc. to______

Highest 80 percent

d. Lowest 10 percent

Last year's freshman class at Big State University totaled 5,348 students. Of those, 1,258 received a merit scholarship to help offset tuition costs their freshman year (although the amount varied per student). The amount a student received was N($3,446, $473). If the cost of full tuition was $4,000 last year, what percentage of students who received a merit scholarship did not receive enough to cover full tuition? (Round your answer to the nearest whole percent.)

Percentage of students _____ %

High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 23 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized? (Round your answer to 2 decimal places.)

Standard deviations _______