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madam [21]
3 years ago
12

Write a definition for the term perimeter

Mathematics
2 answers:
Bezzdna [24]3 years ago
8 0
Perimeter is the distance around a two-dimensional shape.
Andreyy893 years ago
7 0
Perimeter is the distance using units around a shape or polygon. Such as a square's side is 1. There are 4 sides. The perimeter would be 4units.
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Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te
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Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 30 pound

Sample mean, \bar{x} = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s =  2 pounds

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}

We use one-tailed(left) t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012

Now,

t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729

Since,                    

t_{stat} < t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

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Step-by-step explanation:

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