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.
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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