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Rus_ich [418]
3 years ago
7

PLEASEEEEE HELP!!!! 15 POINTS AND DONT PUT SOMETHING RANDOM ITS DUE SOON!!

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
7 0

Answer:

Step-by-step explanation:

45(123)

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Determine the minimum sample size required when you want to be 99% confident that the sample mean is within 0.50 units of the po
vfiekz [6]

Answer:

b. 224

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.58

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem:

We want to find n, when M = 0.5, \sigma = 2.9 So

M = z*\frac{\sigma}{\sqrt{n}}

0.5 = 2.58*\frac{2.9}{\sqrt{n}}

0.5\sqrt{n} = 7.482

\sqrt{n} = 14.964

(\sqrt{n})^{2} = (14.964)^{2}

n = 223.9

The nearest integer number to 223.9 is 224.

So the correct answer is:

b. 224

6 0
3 years ago
Please help me. God bless you all
Yakvenalex [24]

Answer:

x = 11, y=-½

Step-by-step explanation:

Simultaneous equations - subtract the first equation from the second.

x + 4y = 9

-(x - 2y = 12)

6y = -3

y = -½

Substitute y

x + 4(-½) = 9

x + -2 = 9

x = 11

5 0
4 years ago
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