Question

Do B,C,and D

Do not do A

3. The following table contains the wages and gender for 6 employees at company X. namewagefemale Claire Matt Bruce Susan 14 10 18 18 0 Tom Jennifer a) Compute the sample mean, variance and standard deviation of wages. b) Express the following statements as a null hypothesis: i. ii. The mean wage at company X is greater than S13 ii. Mean wages for men and women are the same at company X The mean wage at company X equals $9 e) i. ii. ii Test each of the hypothesis in question 3.b above, and state whether you reject the nulls with 95% confidence. Let μο be the mean associated with a null hypothesis. d) i, what is the minimum value of μο (rounded to 2 decimals) such that you would not reject the hypothesis that mean wage at company X equals po with 5% significance? What is the maximum value of μ° (rounded to 2 decimals) such that you would not reject the hypothesis that mean wage at company X equals with 5% significance? ii. Based on your results from the last two questions (3.d.i and 3.d.ii), construct the 95% confidence interval for.

Answer 1

(B). Express the following statement as null Hypothesis. (i) The mean wage at company X equal to $ 9. Null Hypothesis (HO): mu = $ 9 ii) The mean wage at company X is greater than $ 13 Null Hypothesis (HO): mu = $ 13 iii) Mean wage for men and are same at company X HO: mu_x = mu_y mu_x = mean wage for men mu_y = mean wage for women \r\n C) i) Our hypothesis will be H_0: mu = $ 9 H_1: mu notequalto (Two tailed test) Test statistics is z = vert x bar - mu vert/sigma/squareroot n Where, x bar = 12.33 sigma = 5.13 mu = $ 9 n = 6 Cal. value of z is 1.6 Tabulated value of z at 92% Level of confidence is 1.96 z calculated < z tabulated We accept Null Hypothesis. ii) Our Hypothesis will be H_0: mu = $ 13 H_1: mu > $ 13 (right tailed test).