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VashaNatasha [74]
3 years ago
10

Suppose a sample of 256 was taken from a population with a standard deviation of 96 centimeters. What is the margin of error for

a 68% confidence interval?
A. 4
B. 8
C. 10
D. 6
Mathematics
1 answer:
astraxan [27]3 years ago
3 0

Answer:

D. 6

Step-by-step explanation:

Here we are given that a sample of 256 was taken from a population with a standard deviation of 96 centimeters i.e. \sigma = 96 and n = 256.

And we have to calculate the margin of error for a 68% confidence interval.

Firstly from z score% table we observe that at 32% level of significance the z score critical value is given by 0.99744 .

<em>And Margin of error formula is given by ;</em>

                        Z_\frac{\alpha}{2} * \frac{\sigma}{\sqrt{n} } = 0.99744 * \frac{96}{\sqrt{256} } = 5.98

Approximately, we get Margin of error = 6.

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Answer:

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Step-by-step explanation:

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3 years ago
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3 years ago
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notka56 [123]

Answer:

x = (-5)/3

Step-by-step explanation:

Solve for x:

19 - 6 x = 29

Hint: | Isolate terms with x to the left hand side.

Subtract 19 from both sides:

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Hint: | Look for the difference of two identical terms.

19 - 19 = 0:

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Hint: | Evaluate 29 - 19.

29 - 19 = 10:

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Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -6 x = 10 by -6:

(-6 x)/(-6) = 10/(-6)

Hint: | Any nonzero number divided by itself is one.

(-6)/(-6) = 1:

x = 10/(-6)

Hint: | Reduce 10/(-6) to lowest terms. Start by finding the GCD of 10 and -6.

The gcd of 10 and -6 is 2, so 10/(-6) = (2×5)/(2 (-3)) = 2/2×5/(-3) = 5/(-3):

x = 5/(-3)

Hint: | Simplify the sign of 5/(-3).

Multiply numerator and denominator of 5/(-3) by -1:

Answer: x = (-5)/3

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Step-by-step explanation:

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Step-by-step explanation:

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