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

Answer:

The value of the test statistic is z = 3.34.

Step-by-step explanation:

The information provided is:

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

The test statistic is:

$Z=\frac{\mu-\bar x}{\sigma/\sqrt{n}}$

  $=\frac{15.6-13.4}{4.47/\sqrt{46}}\\\\=3.33806\\\\\approx 3.34$

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