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zavuch27 [327]
3 years ago
15

A) What are the null and alternative hypotheses.

Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0

the answer is C or A. I believe

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When it is operating properly, a chemical plant has a daily production rate that is normally distributed with a mean of 885 tons
-BARSIC- [3]

Answer:

<em>The test statistic Z = 1.844 < 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is accepted </em>

<em>Yes he is right</em>

<em>The manager claims that at least 95 % probability that the plant is operating properly</em>

Step-by-step explanation:

<u>Explanation</u>:-

Given data Population mean

                                           μ     = 885 tons /day

Given random sample size

                                          n = 60

mean of the sample

                                        x⁻  = 875 tons/day

The standard deviation of the Population

                                      σ = 42 tons/day

<em><u>Null hypothesis</u></em><em>:- H₀: </em>The manager claims that at least 95 % probability that the plant is operating properly

<u><em>Alternative Hypothesis :H₁</em></u>: The manager do not claims that at least 95 % probability that the plant is operating properly

<em>Level of significance</em> =  0.05

The test statistic

 Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }

Z = \frac{875 -885}{\frac{42}{\sqrt{60} } }

Z = \frac{-10}{5.422} = -1.844

|Z| = |-1.844| = 1.844

<em>The tabulated value</em>

<em>                          </em>Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96<em></em>

<em>The calculated value Z = 1.844 < 1.96 at 0.05 level of significance</em>

<em>Null hypothesis is accepted </em>

<u><em>Conclusion</em></u><em>:-</em>

<em>The manager claims that at least 95 % probability that the plant is operating properly</em>

<em></em>

<em></em>

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