The student body at St. Algebra College attends an average of 3.3 parties per month. A random sample of 117 sociology majors averages 3.8 parties per month, with a standard deviation of 0.53. Are sociology majors significantly different from the student body as a whole?
1
Expert's answer
2012-10-26T11:21:44-0400
Build the 95% confidence interval for sociology major’s average number of parties. Z(1 – (1 – 0.95)/2) = z(0.975) = 1.96 Margin of error: ME = z * SD / sqrt(n) = 1.96*0.53/sqrt(117) ≈ 0.096 The confidence interval looks: CI = (P – ME, P + ME) = (3.8 – 0.096, 3.8 + 0.096) ≈ (3.7, 3.9) The average for all St. Algebra College students, 3.3, is not inside the interval (3.7, 3.9), so under 95% confidence level sociology majors are significantly different from the student body as a whole. For the 99% confidence level we will get the same result.
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
"assignmentexpert.com" is professional group of people in Math subjects! They did assignments in very high level of mathematical modelling in the best quality. Thanks a lot
Comments
Leave a comment