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Use the following information to find the test statistic of the sample used to test the claim that daily rainfall amounts in the northeastern United States are less than 0.13 inches.
n = 45, x = 0.10 in., s = 0.26 in.
t = –8.263

t = –0.774

t = –2.580

t = –0.395

Sagot :

Using the t-distribution, the test statistic is given as follows: t = -0.774.

What is the test statistic of a t-distribution test hypothesis?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

  • [tex]\overline{x}[/tex] is the sample mean.
  • [tex]\mu[/tex] is the tested value.
  • s is the standard deviation of the sample.
  • n is the sample size.

The values of the parameters for this problem are:

[tex]\overline{x} = 0.1, \mu = 0.13, s = 0.26, n = 45[/tex]

Hence the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.1 - 0.13}{\frac{0.26}{\sqrt{45}}}[/tex]

t = -0.774.

More can be learned about the t-distribution at https://brainly.com/question/13873630

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