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Answer :
The test statistic for this problem is given as follows:
z = -5.85.
How to obtain the test statistic?
The equation for the test statistic is given as follows:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which:
- [tex]\overline{x}[/tex] is the sample mean.
- [tex]\mu[/tex] is the value tested at the null hypothesis.
- [tex]\sigma[/tex] is the standard deviation of the population.
- n is the sample size.
The parameters for this problem are given as follows:
[tex]\overline{x} = 98.2, \mu = 98.5, \sigma = 0.5, n = 95[/tex]
Hence the test statistic is given as follows:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{98.2 - 98.5}{\frac{0.5}{\sqrt{95}}}[/tex]
z = -5.85.
More can be learned about the z-distribution at https://brainly.com/question/25890103
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