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Virty [35]
3 years ago
12

Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t

hat the population standard deviation is 29.
Mathematics
1 answer:
SVEN [57.7K]3 years ago
3 0

Answer:

The minimum sample size required is 207.

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean <em>μ</em> is:

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

The margin of error of this confidence interval is:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

Given:

MOE=3\\\sigma=29\\z_{\alpha /2}=z_{0.01/2}=z_{0.05}=2.576

*Use a <em>z</em>-table for the critical value.

Compute the value of <em>n</em> as follows:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=2.576\times \frac{29}{\sqrt{n}} \\n=[\frac{2.576\times29}{3} ]^{2}\\=206.69\\\approx207

Thus, the minimum sample size required is 207.

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If sv=38, su=26, and the perimeter of SUV is 102, what is the value of RU?
Finger [1]

Answer:

38

Step-by-step explanation:

Let SUV be a triangle

Perimeter of SUV = SU+SV + UV

102 = 38 + 26 + UV

102 = 64 + UV

UV = 102 - 64

UV = 38

Hence the length of UV is 38

8 0
2 years ago
13+y =40<br> explain how the equal sign is use to balance this equation
seropon [69]

Answer:

Y = 27.

Step-by-step explanation:

40 -  13 = 27. If we check our math 13 +27 does equal 40 making the equation correct.

5 0
3 years ago
Did i get this right? if not could you tell me what it is.
barxatty [35]
Let’s simply step-by-step.
-9+1/4x-6-1/8x
=-9+1/4x+-6+-1/8 x
COMBINE LIKE TERMS:
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=(1/4 x + -1/8 x) + (-9+-6)
Answer
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5 0
2 years ago
A pretzel recipe calls for 3.325
Zepler [3.9K]

Answer: 0.35

Step-by-step explanation:

3.325 divided by 9.5 = 0.35

3 0
3 years ago
Solve the system of equation and choose the correct ordered pair.!2x-6y=8 5x-4y=31
kondor19780726 [428]

Answer:

The correct ordered pair is (7,1)

Step-by-step explanation:

The given system has equations:

2x - 6y = 8....(1)

5x- 4y = 31....(2)

We make x the subject in the first equation to get:

x = 4  + 3y...(3)

Put equation 3 into equation 2 to get:

5(4 + 3y) - 4y = 31

Expand:

20 + 15y - 4y = 31

15y - 4y = 31 - 20

11y = 11

y = 1

Put y=1 into equation 3 and solve for x.

x = 4 + 3( 1) = 7

The correct ordered pair is (7,1)

8 0
3 years ago
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