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dem82 [27]
3 years ago
13

An observational study found that the amount of sleep an employee gets each night is associated with job performance. The correl

ation coefficient was found to be r=0.86. A reader of the study concluded that more sleep causes employees to perform better. Why is such a conclusion not correct?
A)The correlation value should equal 1 for such a conclusion.
B)The correlation value should be negative for such a conclusion.
C)The sample was not representative of the population.
D) Causation cannot be determined from an observational study.
E) The correlation value implies that less than 75% of the variability in job performance can be explained by sleep.
Mathematics
1 answer:
blagie [28]3 years ago
6 0

Answer:

The correct option is D.) Causation cannot be determined from an observational study.

Step-by-step explanation:

The conclusion is not correct because

D.) Causation cannot be determined from an observational study.

Causation determined from an observational study is speculative and cannot be confirmed without data from a real experiment.

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The number of sheets of paper available for making notebook is 75,000. Each sheet makes 8 pages of a notebook. Each notebook con
Ray Of Light [21]

Answer:

3000 notebooks

Step-by-step explanation:

75000 sheets

each sheet has 8 pages

each notebook has 200 pages so,

75000x8=600000

600000/200=3000

8 0
4 years ago
Read 2 more answers
Based on probability and if it is appropriate for a decision to be left up to chance, choose every situation that is both statis
svet-max [94.6K]

The situations that are both statistically fair and morally fair are Situation 2, Situation 3 and Situation 5

<h3>How to categorize the situations?</h3>

For a situation to be fair, the probability of every outcome must be equal.

We can now analyze each option using the above highlight

<u>Situation 1</u>

  • Alphabets = 26
  • Probability of vowel = 5/26
  • Probability of consonant = 21/26

The probabilities of vowels and consonant are not equal.

Hence, this situation is not fair

<u>Situation 2</u>

People = 4

P(Each) = 1/4

The probability of each participant is equal in the above scenario i.e. 1/4

Hence, this situation is fair

<u>Situation 3</u>

  • People = 5
  • P(Each) = 1/5

The probability of each cousin is equal in the above scenario i.e. 1/5

Hence, this situation is fair

<u></u>

<u>Situation 4</u>

  • Numbers = 5 i.e. 2 to 6
  • P(Prime) = 3/5
  • P(Composite) = 4/6

The probabilities of prime and composite numbers are not equal.

Hence, this situation is not fair

<u>Situation 5</u>

  • Roommates = 5
  • Cards = 5
  • Aces = 4
  • P(Each) = 1/5

All probabilities are equal in the above scenario i.e. 1/5

Hence, this situation is fair

Read more about probability at:

brainly.com/question/251701

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4 0
3 years ago
Given f(x) = x + 9 and g(x) = x2 find (gºf)(x).
marissa [1.9K]

Answer:

g(f(x)) = (x + 9)^2 or x^2 + 18x + 81

Step-by-step explanation:

(gºf)(x) is the "c .... " of two functions f(x) and g(x):  f(x) is the input to g(x).

We start with g(x):  g(x) = x^2.  We replace the first x with f(x) and the second x with x + 9:

g(f(x)) = (x + 9)^2 or x^2 + 18x + 81

8 0
4 years ago
Becky drew drawing of a sign before creating it. Her scale drawing had a width of 6 inches, and the actual sign has a width of 4
Vlad1618 [11]

Answer:

3 in. = 2ft

Step-by-step explanation:

6 in. = 4ft

3 in. = 2ft

5 0
3 years ago
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there
HACTEHA [7]

Answer:

So we must create 4-digit numbers with the 5 odd digits in the image.

First, a number is only divisible by 5 if the last digit is 0 or 5, and we only can use the last digit equal to 5 (because 0 is not in the image).

if each odd number can be used only once, we have:

Now, for the other 3 digits we have 4 options.

So for the first one we have 4 options,

for the second we have 3 options (because one is already taken)

for the last one we have only 2 options

then the number of combinations is:

C = 4*3*2 = 24.

If the numbers can be repeated (for example, 5555 is allowed, then)

we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third we also have 5 options, then we have a total of:

C = 5*5*5 = 25*5 = 125 combinations.

3 0
4 years ago
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