Ask question

Ask question

All categories

Nimfa-mama [501]

4 years ago

13

Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile

per gallon is desired, how many automobiles should be used in the test? Assume that preliminary mileage tests indicate the standard deviation is 2.6 miles per gallon. Anderson, David R.. Essentials of Statistics for Business and Economics (p. 377). South-Western College Pub. Kindle Edition.

1 answer:

Llana [10]4 years ago

7 0

Answer: 37

Step-by-step explanation:

Given : Significance level : $\alpha:1-0.98=0.02$

Critical value : $z_{\alpha/2}=z_{0.01}=2.33$

margin of error : E= 1 mile per gallon

Population standard deviation: $\sigma=2.6$ miles per gallon.

We know that when the population standard deviation is known then the formula to find the sample size is given by :

$n=(\dfrac{z_{\alpha/2}\times \sigma}{E})^2$

$n=(\dfrac{(2.33)\times 2.6}{1})^2=36.699364\approx37$ [Round to the next whole number.]

Hence, the required number of automobiles should be used in the test = 37

You might be interested in

The folding chair has different settings that change the angles formed by its parts. Suppose m2 is 31 and m3 is 72. Find m1. The

bezimeni [28]

Answer:

m∠1=103°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

In this problem

m∠1=m∠2+m∠3

substitute the given values

m∠1=31°+72°=103°

5 0

3 years ago

Need help again please...

Greeley [361]

40 - 4 = 36

average = 36/9 = 4

answer
average number of members who joined the math club is 4 per month

5 0

4 years ago

What is the slope of the line through (1, -1) and (5. – 7)?

Vladimir [108]

Answer:

-3/2

Step-by-step explanation:

Given two points, we can find the slope by

m = (y2-y1)/(x2-x1)

= (-7 - -1)/ (5-1)

= (-7+1)/(5-1)

= -6/4

= -3/2

6 0

3 years ago

Read 2 more answers

Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Lelechka [254]

Answer:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}} = 32$

Step-by-step explanation:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}$

Solving using exponent rule: $a^{-m}=\frac{1}{a^m}$

$\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32$

So, $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4}$

Using the exponent rule: $a^m.a^n=a^{m+n}$

We have:

$2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}$

We also know that: $a^{-m}=\frac{1}{a^m}$

Using this rule:

$2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}$

So, $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2$

Solving:

$(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}$

So, $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}}$

We know that: $a^{-m}=\frac{1}{a^m}$

$\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32$

So, $\frac{2}{2^{-4}} = 32$

3 0

3 years ago

If the point A at (5, 3) is rotated clockwise about the origin through 90o, what will be the coordinates of the new point?

evablogger [386]

The point (5, 3) is in first quadrant, then after the 90° clockwise the point will be in fourth quadrant and the coordinate will get swap. Then the coordinate will be (3, -5).

<h3>What is a transformation of a point?</h3>

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

If the point A at (5, 3) is rotated clockwise about the origin through 90°.

Then the coordinates of the new point will be

The point (5, 3) is in first quadrant, then after the 90° clockwise the point will be in fourth quadrant and the coordinate will get swap.

Then the coordinate will be (3, -5).

More about the transformation of a point link is given below.

brainly.com/question/27224339

#SPJ1

7 0

2 years ago