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Bingel [31]
3 years ago
8

Which statement is true? Question 16 options: A) |–3| = 3 and |–4| = –4 B) |–3| = 3 and –|4| = 4 C) –|3| = 3 and |4| = 4 D) |–3|

= 3 and –|–4| = –4
Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0
B: -3 = 3 and -4 = 4

-3 is the opposite of 0 and the same is for -4. So its B
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what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed
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Answer:

P(x \le 21) = 0.69146

Step-by-step explanation:

The missing parameters are:

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\sigma = 16 -- population standard deviation

Required

P(x \le 21)

First, calculate the sample standard deviation

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{16}{\sqrt {64}}

\sigma_x = \frac{16}{8}

\sigma_x = 2

Next, calculate the sample mean \bar_x

\bar x = \mu

So:

\bar x = 20

So, we have:

\sigma_x = 2

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x = 21

Calculate the z score

x = \frac{x - \mu}{\sigma}

x = \frac{21 - 20}{2}

x = \frac{1}{2}

x = 0.50

So, we have:

P(x \le 21) = P(z \le 0.50)

From the z table

P(z \le 0.50) = 0.69146

So:

P(x \le 21) = 0.69146

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