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sladkih [1.3K]
3 years ago
10

Enter the answer to the nearest tenth. Another home business has an average income of $1.200.00 per month with a standard deviat

ion of $100.00. If the income in a given month is $1,030.00, what z-score corresponds to this value?
1 0

-1.5

-1.7

the answer is D.-1.7
Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer: -1.7

Step-by-step explanation:

Given : Another home business has an average income of $1.200.00 per month with a standard deviation of $100.00.

i.e.\mu=\$1200.0

\sigma=\$100.00

Let x represents the monthly income.

Since . z=\dfrac{x-\mu}{\sigma}

For x= 1030 , we have

z=\dfrac{1030-1200}{100}=-1.7

Hence, the required z-score = -1.7

You might be interested in
The claim that 40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable j
Bad White [126]

Answer:

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Step-by-step explanation:

Test if the proportion is less than 40%:

At the null hypothesis, we test if the proportion is of at least 0.4, that is:

H_0: p \geq 0.4

At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:

H_1: p < 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that \mu = 0.4, \sigma = \sqrt{0.4*0.6}

74 out of the 200 workers sampled said they would return to work

This means that n = 200, X = \frac{74}{200} = 0.37

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.37 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}

z = -0.87

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.37, which is the p-value of z = -0.87.

Looking at the z-table, z = -0.87 has a p-value of 0.1922.

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

7 0
2 years ago
Help help help help math math
omeli [17]
<h3>Answer:</h3>

5

<h3>Solution:</h3>
  • First, n*7 can be written as 7n.
  • Then, 7*5 is equivalent to 35.
  • So we have
  • 7n=35
  • In order to find the value of n, we need to divide both sides by 7:
  • n=5

Hope it helps.

Do comment if you have any query.

6 0
2 years ago
Read 2 more answers
PLZ ANSWER ASAP (EASY)
Anuta_ua [19.1K]

Answer:

-4/8

Step-by-step explanation:

that's what my math says

4 0
3 years ago
Can someone help me with 19 ,20,21,22
valina [46]

Answer:

In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

Dual polygon: Self-dual

Step-by-step explanation:

4 0
2 years ago
Can someone help with this problem
WARRIOR [948]
35+25=60
y=60


If you add the opposite side values of the triangle (not the one touching the y), you get the value of y). 35+25=y
This works because y+x= 180 and the three angles of a triangle add to 180.
4 0
3 years ago
Read 2 more answers
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