Find the values of a given that AGHJ ZAMNP. G N (2x 50° 142 M H

The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran

Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

5 0

3 years ago

It has been estimated that a student’s final grade in a course decreases by 5 points for every 2 days absent from class. If a st

cluponka [151]

10 points, 2 times 4 equals 10 points.

8 0

3 years ago

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rory's older brother is saving to buy a used motorcycle that cost $3,550. he saves an equal amount of money each month for 6 mon

boyakko [2]

I think it’s just 591.66 cause u hav to divide 3550 by 6

5 0

3 years ago

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Help please. I don’t understand and my teacher didn’t bother to teach us any of this and my brain hurts!!!!

const2013 [10]

Answer:

23. 42 m^2

24. 144 ft^2

25. 68 cm^2

Step-by-step explanation:

The teacher should not need to spend any time teaching this. The area of the total figure is the sum of the areas of its parts. You already know that. And, you already know how to compute the areas of triangles and rectangles.

__

You may recall that the area of a triangle is ...

A = 1/2bh

and the area of a rectangle with the same base and height is ...

A = bh

So, a triangle with base b and height h has the same area as a rectangle with the same base (b) and half the height (h/2). Recognizing this makes these problems really simple.

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23. The base of the rectangle and triangle is 7 m. The height of the triangle is 4 m, so its area is equivalent to adding 4/2 = 2 m to the 4 m height of the rectangle. Then the total area is ...

A = (7 m)(4 m +(1/2)(4 m)) = (7 m)(6 m) = 42 m^2

__

24. Since there are two identical triangles of height 5, their total area is equal to that of a rectangle of height 5.

A = (12 ft)(7 ft +5 ft) = 144 ft^2

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25. The 5 cm height of the triangle makes it have an area equivalent to a rectangle 5/2 cm high.

A = (8 cm)(6 cm +5/2 cm) = 68 cm^2

Note: we have read the fuzzy numbers as 8 cm wide, 6 cm high for the rectangle, and 5 cm high for the triangle. If your figure is different, please use the appropriate numbers in the calculation.

8 0

3 years ago

Solve the equation-10 +1 +7x =37

In-s [12.5K]

Answer:

x = 46/7

Step-by-step explanation:

Have a blessed day

5 0

3 years ago

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