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Fiesta28 [93]
3 years ago
15

Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a maj

or university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the probability of getting a sample average of 1.8 or less is:________.a. 0.5893 b. 0.9977 c. 0.4207 d. 0.0023
Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0

Answer:

d. 0.0023

Step-by-step explanation:

Calculation for the probability of getting a sample average of 1.8 or less

Using this formula

z score =(X-mean)/Standard errror

Where,

Standard error =Standard deviation/√(n)

Let plug in the formula

P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))

P(Xbar<1.8)=P(Z<-0.4/(2/14.14))

=P(Z<-0.4/0.1414)

=P(Z<-2.83)

Now let find the Z score of P(Z<-2.83) using the z table

P=0.0023

Therefore the probability of getting a sample average of 1.8 or less is:0.0023

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Answer:

78 is 7 divided by 8, which equals 0.875. So an equivalent fraction is another fraction that also equals 0.875.

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3 years ago
A) If it takes 125 chinchillas to make a coat and he needs to make 10 coats, how many chinchillas must Barton have by the end of
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3 0
3 years ago
Evaluate 2b² - 3b + 4a² for a= -6 and b=8
eduard

Answer:

Step-by-step explanation:

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now we sub

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7 0
3 years ago
How many palindromes of length 5 can you form using letters with the following properties: they start with a consonant, and the
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Answer:

  2100

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There are 21 consonants that can serve as the first and last letters. There are 5 vowels that can serve as the 2nd and 4th letters. There are 20 remaining consonants that can serve as the 3rd letter. (The same consonant cannot appear in all three places.)

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6 0
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For a camping trip, three scoutmasters are each driving a portion of the 150 miles to campground mr. Jimenez drives 3/10 of the
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Answer:

45 miles

Step-by-step explanation:

Jimenez drives 3/10 of the distance:  (3/10)(150 miles) = 45 miles.

Mr. Robertson drives 2/5 of the distance:  (2/5)(150) = 60 miles.

These two people drive 105 miles total.

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