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nlexa [21]
2 years ago
5

According to the scatter plot shown, what approximate income should a 24-year old have?

Mathematics
1 answer:
Veronika [31]2 years ago
8 0

Answer:

25,000

Step-by-step explanation:

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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 215 vinyl​ glov
pickupchik [31]

Answer:

z=\frac{0.7-0.07}{\sqrt{0.385(1-0.385)(\frac{1}{215}+\frac{1}{215})}}=13.42  

p_v =P(Z>13.42)\approx 0  

So the p value is a very low value and using any significance level given \alpha=0.01 we se that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that vinyl gloves have a greater virus leak rate than latex gloves at 1% of significance.

Step-by-step explanation:

Data given and notation  

n_{V}=215 sample of vinyl gloves selected

n_{L}=215 sample of latex gloves selected

p_{V}=0.7 represent the proportion of vynil gloves with leaked viruses

p_{L}=0.07 represent the proportion of latex gloves with leaked viruses

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the vinyl gloves have a greater virus leak rate than latex gloves , the system of hypothesis would be:  

Null hypothesis:p_{V} \leq p_{L}  

Alternative hypothesis:p_{V} > \mu_{L}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{V}-p_{L}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{V}}+\frac{1}{n_{L}})}}   (1)

Where \hat p=\frac{X_{V}+X_{L}}{n_{V}+n_{L}}=\frac{0.7+0.07}{2}=0.385

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.7-0.07}{\sqrt{0.385(1-0.385)(\frac{1}{215}+\frac{1}{215})}}=13.42  

Statistical decision

Since is a one right tailed test the p value would be:  

p_v =P(Z>13.42)\approx 0  

So the p value is a very low value and using any significance level given \alpha=0.01 we se that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that vinyl gloves have a greater virus leak rate than latex gloves at 1% of significance.

3 0
3 years ago
Read 2 more answers
What is 3 1/3 divided by 1 7/8 in simplest form ?
Tcecarenko [31]
You have to turn them into mixed numbers.  10/3 divided by 15/8.  Now you have to multiply the first number by the reciprocal of the second.  10/3 times 8/15.  The answer is 80/45 or 1 7/9.
5 0
3 years ago
What is the ratio of 420kg and 450kg
Anuta_ua [19.1K]
The answer is 42kg/45kg or 14kg/15kg
5 0
3 years ago
Sasha borrows $100 at 12% simple interest, to be paid back in one year . How much does she pay back
amid [387]

Answer:

$289 I think

Step-by-step explanation:

$289 I think

sorry if I am wrong

8 0
2 years ago
Solve using the elimination method. <br> show your work <br> 2x - y = 6 <br> x + y = 6
bekas [8.4K]

Answer:

x=4, y=2

Step-by-step explanation:

2x - y = 6  

x + y = 6

Add these together to eliminate y

2x - y = 6  

x + y = 6

-----------------

3x = 12

Divide by 3

3x/3 = 12/3

x=4

But we still need y

x+y =6

4+y =6

Subtract 4 from each side

4+y-4 = 6-4

y=2

7 0
3 years ago
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