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slavikrds [6]
2 years ago
10

The percentage of titanium in an alloy used in aerospace castings is measured in 51 randomly selected parts. The sample standard

deviation is s = 0.36. Construct a 95% two-sided confidence interval for σ. Assume population is approximately normally distributed. Round your answers to 4 decimal places.
Mathematics
1 answer:
arlik [135]2 years ago
4 0

Answer: 0.3012

Step-by-step explanation:

The confidence interval for population standard deviation is given by :-

s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, n-1}}}

Given : Significance level : \alpha: 1-0.95=0.05

Sample size : n= 51

Sample standard deviation : s=0.36

Then by using the chi-square distribution table, we have

\chi^2_{1-\alpha/2, n-1}}=\chi^2_{0.975, 50}=32.36

\chi^2_{\alpha/2, n-1}}=\chi^2_{0.025, 50}=71.42

Confidence interval for population standard deviation will be :-

(0.36)\sqrt{\dfrac{50}{32.36}}

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dedylja [7]

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

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Decimal Form:

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Factor 2 out of 22.

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Tap for more steps...

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The result can be shown in multiple forms.

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Step-by-step explanation:

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2 years ago
Extra P./Geometry <br> Help quick! Thanks In Advance :)
IrinaVladis [17]

The measure of angle C is 89 degrees.

<u>Step-by-step explanation:</u>

The given polygon ABCD is a quadrilateral.

<u>The property of a quadrilateral :</u>

The sum of the consecutive angles add to 180°.

In this quadrilateral, the angles B and C are consecutive angles. So, the sum of angle B and angle C is equal to 180 degree.

Given that,

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<u>To find the value of x :</u>

m∠B + m∠C = 180

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The measure of angle C is 89 degrees.

4 0
3 years ago
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Lerok [7]
Answer:

x = -1.14 or -13.14

Explanations:

The given equation is:

x^2+12x\text{  =  15}

Find the half of 12, and add the square to both sides of the equation.

That is add 6² to both sides

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Find the square root of both sides:

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Step-by-step explanation:

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