Reference no: EM131153330

SAT scores of students at an Ivy League college are distributed with a standard deviation of 250 points. Two statistics students, Raina and Luke, want to estimate the average SAT score of students at this college as part of a class project. They want their margin of error to be no more than 25 points.

(a) Raina wants to use a 90% condence interval. How large a sample should she collect?

Raina should sample at least people.

(b) Luke wants to use a 99% condence interval. Without calculating the actual sample size, determine whether his sample should be larger or smaller than Raina's, and explain your reasoning.

• smaller because higher degrees of confidence require smaller margins of error
• smaller since Luke has a higher level of confidence in his results than Raina
• larger higher degrees of confidence require larger margins of error

(c) Calculate the minimum required sample size for Luke.

Luke should sample at least people.