Question

3. The following table containsthewagesand genderfor6ermployees at cormpany X. wage female name Claire Matt Bruce Susan Tom Jennifer 14 10 18 18 a) b) Compute the sample mean, variance and standard deviation of wages. Express the following statements as a null hypothesis: i. The mean wage at company X equals $9 ii. The mean wage at company X is greater than $13 iii. Mean wages for men and women are the same at company X c) i. ii. ii. Test each of the hypothesis in question 3.b above, and state whether you reject the nulls with 95% confidence. n noriatrd with a null hypothesis.

Answer 1

Mean 8 14 10 18 6 X^bar = Sigma x_i/N = 74/6 = 12.5 Sigma (x - x^bar) = 164 sigma^3 = Sigma (x - x^bar)/N = 164/6 = 27.3 \r\n sigma = squareroot Sigma d^2/N - (Sigma d^2/N)^2 squareroot 164/6 - (14/6)^2 squareroot 164/6 - 196/36 squareroot 27.3 - 5.44 squareroot 21.86 = 4.675
​​​​​​