Question

Asked Apr 29, 2019

A researcher wishes to see if the average number of sick days a worker takes per year is greater than 5. A random sample of 32 workers at a large department store had a mean of 5.6. The standard deviation of the population is 1.2. **Is there enough evidence to support the researcher's claim at a=0.01?**

Step 1

**Hypotheses:**

Let *µ* be the true average number of sick days a worker takes per year. The aim of the researcher is to check whether the number of sick days a worker takes per year is greater than 5 or not. The null and the alternative hypotheses are,

Step 2

The sample size is 32 that is greater than 30 and the population standard deviation is known as 1.2. Hence, z test can be used for testing the mean.

**Test statistic:**

The test statistic for hypothesis test for proportion is given by:

Step 3

**Computing the test statistic for hypothesis te...**

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