Q.10.92 聽Refer to Exercise 10.86聽and f... [FREE SOLUTION]

Chapter 10: Q.10.92 (page 429)

Refer to Exercise $10.86$ and find a $99 %$ confidence interval for the difference between the mean wing lengths of the two subspecies.

Short Answer

Expert verified

The interval is $- 4.488$ to $- 1.111$ .

Step by step solution

Given information

Given in the question that, We need to find a $99 %$ confidence interval for the difference between the mean wing lengths of the two subspecies.

Explanation

Consider the table

Migratory population1	Non migratory population2
${\overset{炉}{x}}_{1} = 82.1$	${\overset{炉}{x}}_{2} = 84.9$
$s_{1} = 1.501$	$s_{2} = 1.698$
$n_{1} = 14$	$n_{2} = 14$

For $99 %$ confidence interval,

$df = \frac{{[(\frac{s_{1}^{2}}{n_{1}}) + (\frac{s_{2}^{2}}{n_{2}})]}^{2}}{\frac{{(\frac{s_{1}^{2}}{n_{1}})}^{2}}{n_{1} - 1} + \frac{{(\frac{s_{2}^{2}}{n_{2}})}^{2}}{n_{2} - 1}}$

$= \frac{[(\frac{1 . 501^{2}}{14}) + {(\frac{1 . 698^{2}}{14})}^{2}}{{\frac{{(\frac{1 . 501^{2}}{14})}^{2}}{14 - 1})}^{2}}$

$鈮� 25$

The end point of interval are,

$({\overset{炉}{x}}_{1} - {\overset{炉}{x}}_{2}) 卤 t_{\frac{a}{2}} 路 \sqrt{(\frac{s_{1}^{2}}{n_{1}}) + (\frac{s_{2}^{2}}{n_{2}})} = (82.1 - 84.9) 卤 2.787$

$\sqrt{(\frac{1 . 501^{2}}{14} + \frac{1 . 698^{2}}{14})}$

$= - 4.488$ to $- 1.111$

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Refer to Exercise $10.86$ and find a $99 %$ confidence interval for the difference between the mean wing lengths of the two subspecies.

Short Answer

Step by step solution

Given information

Explanation

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91影视

Refer to Exercise 10.86and find a 99% confidence interval for the difference between the mean wing lengths of the two subspecies.

Short Answer

Step by step solution

Given information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Decision Maths

Geometry

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Refer to Exercise $10.86$ and find a $99 %$ confidence interval for the difference between the mean wing lengths of the two subspecies.