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Alekssandra [29.7K]
3 years ago
6

Put these fraction pairs to < > or =. Please answer 1. 1/6 ? 1/8 2. 2/3 ? 4/6

Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0
#1. 1/6>1/8

#2. 2/3=4/6
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Answer:

Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.

Step-by-step explanation:

The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.

This means that at the null hypothesis we test if the proportion is at least 60%, that is:

H_{0}: p \geq 0.6

And the alternate hypothesis is:

H_{a}: p < 0.6

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

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This means that:

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This means that n = 575, X = \frac{338}{575} = 0.5878

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}

z = -0.6

Pvalue of the test and decision:

We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.

Looking at the z-table, z = -0.6 has a pvalue of 0.2743.

Since 0.2743 > 0.1, the threshold probably was met.

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Martin wants to buy 4 plastic figures that cost $17 each. How much money does he need to save to purchase the figure?
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Answer: t=4.5x

Step-by-step explanation:

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Example:

The chef wants to know how many tomatoes he needs to make 2 batches of pasta sauce.

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Answer:

A. 600

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Consider the attached tree.

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