Ask Question
30 July, 14:35

It is desired to estimate the mean gpa of each undergraduate class at a large university. assume that the variance of the gpas is 1.44. how large a sample is necessary to estimate the mean gpa within 0.25 at the 99% confidence level

+4
Answers (1)
  1. 30 July, 15:01
    0
    First let us define the variables in this problem:

    variance, s^2 = 1.44 - - - >taking the square root gives standard deviation, s = 1.2

    margin of error, MOE = 0.25

    confidence level = 0.99

    N = number of students required

    Using the standard distribution table for z, p = 0.99 occurs when z = 2.58

    The formula for Margin of Error is given as:

    MOE = z * s / sqrt N

    0.25 = 2.58 * 1.2 / sqrt N

    sqrt N = 12.384

    N = 153.36 = 154

    Therefore the sample should be at least 154 students to estimate the mean gpa within 0.25.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “It is desired to estimate the mean gpa of each undergraduate class at a large university. assume that the variance of the gpas is 1.44. how ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers