Question 9) Two simple random samples of 10 males and 15 females who participate level of anxiety took a survey to measure anxiety level. The sample variance for male was 1369 and for female was 1681. We would like to know if these data provide us sufficient evidence that the variance of anxiety for female population is greater than male population at alpha =.05. (each part 3 point total 9 point)

a) What statistical test you should use?

1. One proportion test

2. One population variance

3. One sample T-test when population variance is known

4. Two population variance

b)What is the value of F statistics? (Use F= S²₁/S²₂)

1.3.50

2.5.00

3.2.50

4.1.23

c) Can we conclude from this data provide us sufficient evidence that the variance of anxiety for female population is greater than male population at alpha =.05.

1. Yes, because our test statistics is greater than F value from F table

2. No, because our test statistics is less than F value from F table