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melamori03 [73]
4 years ago
9

A sociologist develops a test to measure attitudes about public transportation, and 27 randomly selected subjects are given the

test. Their mean score is 76.2 and their standard deviation is 21.4. Construct the 95% confidence interval for the standard deviation, σ, of the scores of all subjects.a. 17.5 < σ < 27.8b. 17.2 < σ < 27.2c. 285.61 < σ <858.49d. 16.6 < σ < 28.6e. 16.9 < σ < 29.3
Mathematics
1 answer:
Crazy boy [7]4 years ago
6 0

Answer: e. 16.9<\sigma<29.3

Step-by-step explanation:

As per given , we have

n= 27 , \overline{x}=76.2  , s=21.4

Critical value using Chi-square table:-

\chi^2_{\alpha/2, n-1}=\chi^2_{0.025, 26}=41.92317010\\\\ \chi^2_{1-\alpha/2, n-1}=\chi^2_{0.975, 26}=13.84390498

Confidence interval for standard deviation:

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

Hence, the 95% confidence interval for the standard deviation, σ, of the scores of all subjects : 16.9

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Need help ASAP! please help
Alisiya [41]

The missing angles in the triangle is as follows:

  • ∠1  = 62.5°
  • ∠2 = 62.5°
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  • ∠5 = 50°

<h3>How to find the measure of angles in a triangle?</h3>

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

∠3 = 55 degrees (vertically opposite angles)

Vertically opposite angles are congruent to each other.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Using exterior angle theorem ,

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Therefore, the other triangle is an isosceles triangle. This means the base angles are equal.

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learn more on angles here: brainly.com/question/28641859

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C) 100º

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It is the same as the first triangle and in the first triangle that angle is 100º

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