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BabaBlast [244]
3 years ago
13

A cohort study was conducted to study the association of coffee drinking and anxiety in a population-based sample of adults. Amo

ng 10,000 coffee drinkers, 500 developed anxiety. Among the 20,000 non-coffee drinkers, 200 cases of anxiety were observed. What is the relative risk of anxiety associated with coffee use?
Mathematics
1 answer:
azamat3 years ago
6 0

Answer: Relative risk of anxiety associated with coffee use is 5 times the anxiety associated with non coffee use.

Step-by-step explanation:

Since we have given that

Number of coffee drinkers = 10000

Number of whom developed anxiety = 500

Number of non coffee drinkers = 20000

Number of whom developed anxiety = 200

So, probability of getting anxiety from coffee drinkers = \dfrac{500}{10000}=0.05

Probability of getting anxiety from non coffee drinkers = \dfrac{200}{20000}=0.01

so, Relative risk of anxiety associated with coffee use is given by

\dfrac{0.05}{0.01}=5

Hence, Relative risk of anxiety associated with coffee use is 5 times the anxiety associated with non coffee use.

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3. The grade-point averages of 20 college seniors selected at random from a graduating class are as follows:
Ainat [17]

The standard deviation of the grade points average of the college seniors is 0.57.

The given parameters:

3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9

The sum of the given data is calculated as follows;

∑x = 3.2 + 1.9 + 2.7 +  2.4 + 2.8 + 2.9 + 3.8 + 3.0 +  2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9

∑x = 53.3

The mean of the distribution is calculated as follows;

\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665

The square of the difference between the grade point and the mean;

\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2  \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055

The standard deviation of the grade points is calculated as follows;

\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57

Thus, the standard deviation of the grade points average of the college seniors is 0.57.

Learn more about standard deviation here: brainly.com/question/12402189

6 0
2 years ago
1 saw and 4 hammers cost $72. Two saws and 6 hammers cost $114.<br> How much does each item cost?
4vir4ik [10]

Answer:

The saws will cost $12 and the hammers will cost $15

Step-by-step explanation:

4 0
3 years ago
How far apart is 27 and -54
Brut [27]
They are 81 numbers apart
8 0
3 years ago
Can someone please explain what I have to do​
Pepsi [2]

Answer:

16.7 cm

Step-by-step explanation:

Area of a triangle = ½*base*height

Area of the shaded region = area of triangle = 100.2 cm³

base = w

height = 12 cm

Plug in the value into the equation:

½*w*12 = 100.2

6w = 100.2

w = 100.2/6

w = 16.7 cm

4 0
3 years ago
You buy a $75 ipod and get a 10% discount. What is the sale price?​
Serhud [2]

Answer:

$67.50

Step-by-step explanation:

here you go

4 0
3 years ago
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