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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 =

Respuesta :

Answer:

The value of the test statistic is z = 3.34.

Step-by-step explanation:

The information provided is:

[tex]\bar x=13.4\\\sigma = 4.47\\n=46[/tex]

The test statistic is:

[tex]Z=\frac{\mu-\bar x}{\sigma/\sqrt{n}}[/tex]

  [tex]=\frac{15.6-13.4}{4.47/\sqrt{46}}\\\\=3.33806\\\\\approx 3.34[/tex]

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

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