Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.0 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 13 samples is 5.6 ppm with a variance of 0.49. Assume the population is normally distributed. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to three decimal places.

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belgrad belgrad · Answer 1 · 2021-02-20T03:37:44+01:00

Answer:

Test statistic | t| = |-2.0607| = 2.0607

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 6.0 parts / million

The mean of sample x⁻ = 5.6ppm

The variance of the sample = 0.49

The standard deviation of the sample (s) = √0.49 = 0.7

Step(ii):-

Test statistic

[tex]t = \frac{x^{-} - mean}{\frac{S}{\sqrt{n} } }[/tex]

[tex]t = \frac{5.6 - 6.0}{\frac{0.7}{\sqrt{13} } }[/tex]

t = -2.0607

Final answer:-

Test statistic | t| = |-2.0607| = 2.0607