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jeka94
3 years ago
10

Help me ASAP for this question

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0

Answer:

It's the second one.

Step-by-step explanation:

The points on the graph align with the coordinates on the table.

For example, the fist point is (0,2) and the table shows that and the second point lands on (4,3) which is also shown in the table.

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Vitamin D, whether ingested as a dietary supplement or produced naturally when sunlight falls on the skin, is essential for stro
tigry1 [53]

Answer:

a) The 98% confidence interval would be given (0.182;0.218).

b) We are 98% confident that the true proportion of of England people who are deficient in Vitamin D is between 0.182 and 0.218.

c) If repeated samples were taken and the 98% confidence interval computed for each sample, 98% of the intervals would contain the population proportion.

d) Yes since the confidence interval not contains the value 0.25, we can refute the claim at 2% of significance.

Step-by-step explanation:

Data given and notation  

n=2700 represent the random sample taken    

X represent the people in England who are deficient in Vitamin D

\hat p=0.2 estimated proportion of England people who are deficient in Vitamin D

\alpha=0.02 represent the significance level

Confidence =0.98 or 98%

z would represent the statistic (variable of interest)    

p= population proportion of England people who are deficient in Vitamin D

Part a

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 98% confidence interval the value of \alpha=1-0.98=0.02 and \alpha/2=0.01, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.33

And replacing into the confidence interval formula we got:

0.20 - 2.33 \sqrt{\frac{0.2(1-0.2)}{2700}}=0.182

0.20 + 2.33 \sqrt{\frac{0.2(1-0.2)}{2700}}=0.218

And the 98% confidence interval would be given (0.182;0.218).

Part b

We are 98% confident that the true proportion of of England people who are deficient in Vitamin D is between 0.182 and 0.218.

Part c

If repeated samples were taken and the 98% confidence interval computed for each sample, 98% of the intervals would contain the population proportion.

Part d

Yes since the confidence interval not contains the value 0.25, we can refute the claim at 2% of significance.

3 0
3 years ago
Solve. 9(4h - 6) = 2( -13 - 2h)
Afina-wow [57]

Answer: h= 7/10

Step-by-step explanation:

9(4h - 6 ) = 2(-13 - 2h)       Distribute on both sides

9(4h) + 9(-6) = 2(-13) + 2(-2h)

36h - 54 = -26 - 4h       Add 4h to both sides

+4h                   +4h

40h - 54 = -26      Add 54 to both sides

      +54     +54

40h = 28     Divide both sides by 40

h = 7/10

6 0
3 years ago
Read 2 more answers
A 3-yard roll of brown paper costs $1.14.What is the unit price HELP PLEASE
Lapatulllka [165]

Per 1 yard the cost would be $0.38. Not sure what unit you need it in, but thats the answer in yards.

8 0
3 years ago
Read 2 more answers
Oil consumption in China grew exponentially from 8.938 million barrels per day in 2010 to 10.480 million barrels per day in 2013
Afina-wow [57]

Let the year represents x axis and consumption represents y axis.

Since 2010 is the initial year, x=0

and 2013 is third year , so x=3

Co-ordinates are (0,8.938)(3,10.480)

Exponential formula is y=ab^{x}

Putting the value of x in the above formula from 1st coordinate,

8.938=ab^{0}

As b^{0} = 1

this gives a= 8.938

Now using the 2nd coordinate

10.480=ab^{3}

putting the value of a in it we have

10.480=8.938b^{3}

taking cube roots on both sides we get

b= 1.05448

Now putting the values of a and b in the exponential formula-

y=8.938(1.05448)^{x}

In the year 2028, x=28

so,

y=8.938(1.05448)^{28}

y= 39.474

Hence oil consumption per day in 2028 will be 39.474 million barrels.

5 0
3 years ago
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To make the swim team Pedro must swim 400 m in less than seven minutes Pedro where the first 200 minutes in 2.86 minute he swam
MArishka [77]

Answer:

No he didnt make the team

Step-by-step explanation:

2.86 + 3.95= 6.81

so he swam 400 meters in 6min and 81 sec but theirs 60 sec in every min so realy he swam it in 7 min and 21 sec

5 0
3 years ago
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