In 2014 the number of days the average employee at BBK calle

In 2014 the number of days the average employee at BBK called out sick was 15 days.

BBK has started a new policy that employees will lose their sick days and they want to determine if this is increasing the number of days employees call out sick.

From the sample of 8 employees below using a .05 significance level, can you formulate the decision rule? (State rejection region)

Standard deviation of the data set below is 1.54

15

20

23

17

9

14

18

13

Solution

15,20,23,17,9,14,18,13

the mean will be 129/8 = 16.125

H0 = 15

Ha >15

significance = 0.05

std dev = 1.54

5% of 15 = 0.75

hence anything between 14.25 to 15.75 is ok with to accept the hypothesis

but we get 16.125 which is above the significance level hence we will reject the null hypothesis.