Hypothesis Testing Problems

7:45 AM CO U A Vo 4G. OF LTE K/S 95 elms.sti.edu/files/ + :D . . . 2. One of the undersecretaries of the Department of Labor and Employment (DOLE) claims that the average salary of a civil engineer is Php 18,000. A sample of 19 civil engineer's salary has a mean of Php 17,350 and a standard deviation of Php 1,230. Is there enough evidence to reject the undersecretary's claim at a = 0.01? Solution: Step 1: Null and alternative hypothesis Ho: 07 Performance Task 1 "Property of STI Page 1 of 3 STI SH1923 Step 2: Significance level a =_ Step 3: Test statistic: Step 4: Decision rule: Step 5: Decision: 3. The operations manager of a sales company wants to see whether there is a significant difference in the ages of male and female customers. He selected a sample of 35 samples for each group. The ages are shown in the table below: Male Female 1 = 27.3 X2 = 28 1 = 2.4 62 = 3.1 n = 35 n2 = 35 At a = 0.05, decide if there is enough evidence to reject the claim of no difference in the ages of the two groups. Solution: Step 1: Null and alternative hypothesis Ho: H.: Step 2: Significance level a = Step 3: Test statistic: Step 4: Decision rule: 07 Performance Task 1 Property of STI Page 2 of 3 STI SH1923 Step 5: Decision: O