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3 years ago

Which of the following numbers is less than 2/3? F. -1/2 G. 1/3 H. -7/8 J. -1/6

Mathematics

2 answers:

loris [4]3 years ago

5 0

All of them. F, H and J are negative numbers, and as such they are less than any positive number.

Finally, 1/3 is trivially less than 2/3.

stiks02 [169]3 years ago

4 0

Answer:

All of them are.

Step-by-step explanation:

F. H. J. are all negative and G. is just smaller than 2/3

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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba

Ahat [919]

Answer:

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Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

$\hat p=\frac{21}{100}=0.21$ estimated proportion of overfilled bags

$p_o=0.15$ is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:

Null hypothesis: $p =0.7$

Alternative hypothesis: $p > 0.15$

The statistic for this case is:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And replacing the info given we got:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$

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