One number is 1/2 of another number the sum of the two numbers is 27 find the two numbers

Bastien, Inc. has been manufacturing small automobiles that have averaged 50 miles per gallon of gasoline in highway driving. Th

alexira [117]

Answer:

We conclude that the the manufacturer's advertising campaign is not correct.

P-value of test = 0.067.

Step-by-step explanation:

We are given that an independent testing service road-tested 36 of the automobiles. The sample showed an average of 51.5 miles per gallon. The population standard deviation is 6 miles per gallon.

We have to conduct a test to determine whether or not the manufacturer's advertising campaign is legitimate.

Let $\mu$ = population average gasoline of new small cars in highway driving.

SO, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 50 miles per gallon {means that the manufacturer's advertising campaign is not correct}

Alternate Hypothesis, $H_A$ : $\mu$ > 50 miles per gallon {means that the manufacturer's advertising campaign is correct}

The test statistics that will be used here is One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average gasoline = 51.5 miles per gallon

$\sigma$ = population standard deviation = 6 miles per gallon

n = sample of automobiles = 36

So, test statistics = $\frac{51.5-50}{\frac{6}{\sqrt{36} } }$

= 1.50

Now at 0.05 significance level, the z table gives critical value of 1.6449 for right-tailed test. Since our test statistics is less than the critical values of z as 1.50 < 1.6449, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Also, P-value is given by the following formula;

P-value = P(Z > 1.50) = 1 - P(Z $\leq$ 1.50)

= 1 - 0.93319 = 0.067 or 6.7%

Therefore, we conclude that the the manufacturer's advertising campaign is not correct as its new small cars average less than or equal to 50 miles per gallon in highway driving.

3 0

3 years ago

Two values with opposite signs, x and y, are added together( x + y), and have a negative sum. When the two values are subtracted

olga_2 [115]

Answer:

connect the two hemispheres, ensures that all of this information is kept coordinated. ... You have learned how to add and subtract with signed numbers using models and ... and negative integers to solve problems with positive and negative

Step-by-step explanation:

7 0

3 years ago

What is the area of the shaded portion of the circle?

Elina [12.6K]

Answer:

It is D

Step-by-step explanation:

I took the quiz

5 0

3 years ago

A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumfere

ipn [44]

Sphere

The surface area of the sphere is 80384 sq yd

Step-by-step explanation:

Given the ride goes around the widest circle of the sphere whose circumference is 502.40 yd.

The widest circle of the sphere is the plane contains the sphere's center

The circumference of the widest circle is $2\pi r\\$ where r is radius of the sphere.

The surface area of the sphere is defined as $4\pi r^{2} \\$ where r is radius of the sphere.

So 502.4 = $2\pi r\\$

⇒502.4 = 2 × 3.14 × r

⇒ r = 502.4 ÷ (2 × 3.14)

⇒ $r = 502.4 / 6.28 \\$

Surface Area A = $4\pi r^{2} \\$

⇒ A = 4 × 3.14 × (502.4 ÷ 6.28) × (502.4 ÷ 6.28)

⇒ A = 80384 sq yd

The surface area of the sphere is 80384 sq yd

4 0

3 years ago

Multiply the two fractions (1/2)(2/5). Simplify your answer.

mash [69]

Answer:

b

Step-by-step explanation:

8 0

3 years ago