Testing:

H0:μ=54.5

H1:μ<54.5

Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.

Calculate the test statistic, rounded to 2 decimal places.

t=

Respuesta :

Answer:

t = -1.54.

Step-by-step explanation:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

H0:μ=54.5

This means that [tex]\mu = 54.5[/tex]

Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.

This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]

Test statistic

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]

[tex]t = -1.54[/tex]

The test statistic is t = -1.54.

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