RQ Is the mean greater than 14 V1 17 13 12 15 16 14 16 13 1

RQ. Is the mean greater than 14? V1 = 17, 13, 12, 15, 16, 14, 16, 13, 18, 19 Q1. Statistic (from SPSS) Q2. p-value Q4. Result Q4. Decision Q5. Conclusion (Ho, Ha) ES

Solution

H0: Mean = 14

Ha: Mean >14

Right tailed test

Sample size = 10

Mean = 15.3

Std dev = 2.193

Std error = 0.6934

Q1 Test statistic = Mean difference/.std error = 1.3/0.6934 = 1.874

df = 10-1 =9

p value = .04685.

The result is significant at p < .05.

As p value <0.05, at 5% significance level we can reject null hypothesis.

Effect size

Cohen\'s d = (14 - 15.3) 1.704296 = 0.762778.

Gates\' delta = (14 - 15.3) 2.193 = 0.592795.

Hedges\' g = (14 - 15.3) 1.000856 = 1.298888.