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

Question

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.

Standard deviation of the data set below is 1.54

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a. From the sample of 8 employees below, State the null and alternative hypothesis.

b. can you prove their claim using a .05 significance level? Use calculated (z or t value of 2.066)

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Explanation / Answer

(Note: Since sample is small t test is used)

H0: mu =15 Ha: mu >15 Right tailed test s std dev 1.54 n 8 Std error 0.544472 Mean x bar 16.125 Mean diff xbar-mu 1.125 t Mean diff/std error 2.066221 df n-1 7 pvalue 0.038837 alpha 0.05 p value< 0.05 Reject null hypothesis Sick leave > 15 days

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