Question

The average family size was reported as 3.28. A random sample of families in a particular school district resulted in the following family sizes: 5 4 5 3 4 3 6 4 3 3 5 6 3 4 2 7 3 5 2 2 6 3 5 8.

1.Find the critical value(s).

2. Find the test value

Answer 1

From the given sample data :

The sample size is , n=24

The sample mean is ,

The sample standard deviation is ,

The null and alternative hypothesis is ,

The test is two-tailed test.

Now , df=degrees of freedom=n-1=24-1=23

1. The critical values are , ; From t-table

2. The test statistic is ,