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3 years ago

Can someone explain multiplying and dividing integers, Thank You! :)

Mathematics

1 answer:

andrezito [222]3 years ago

5 0

When you multiply a negative number by a positive number then the product is always negative

When you multiply two negative numbers or two positive numbers then the product is always positive

When you divide a negative number by a positive number then the quotient is negative.

When you divide a positive number by a negative number then the quotient is also negative.

When you divide two negative numbers then the quotient is positive

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3 years ago

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:

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

Null hypothesis is accepted

Yes he is right

The manager claims that at least 95 % probability that the plant is operating properly

Step-by-step explanation:

Explanation:-

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

Null hypothesis:- H₀: The manager claims that at least 95 % probability that the plant is operating properly

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

Level of significance = 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

The tabulated value

$Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96$

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

Null hypothesis is accepted

Conclusion:-

The manager claims that at least 95 % probability that the plant is operating properly

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