Question

Testing: H 0 : μ ≥ 15.6 H 1 : μ < 15.6 Your sample consists of 46 values, with a sample mean of 13.4. Suppose the population standard deviation is known to be 4.47. a) Calculate the value of the test statistic, rounded to 2 decimal places. z =

Answer 1

The value of the test statistic is z = 3.34.

Explanation:

The information provided is:

`\bar x=13.4\\\sigma = 4.47\\n=46`

The test statistic is:

`Z=(\mu-\bar x)/(\sigma/√(n))`

`=(15.6-13.4)/(4.47/√(46))\\\\=3.33806\\\\\approx 3.34`

Thus, the value of the test statistic is z = 3.34.