The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of 349 and a standard deviation of 24. According to the standard deviation rule, approximately 95% of the students spent between ___$ and _$ on textbooks in a semester.
Question 12
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1 points
The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 16. According to the standard deviation rule, __% of people have an IQ between 52 and 148. Do not round.
Question 13
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10 points
The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 13. According to the standard deviation rule, only _% of people have an IQ over 139.
Question 14
Type numbers in the boxes.
10 points
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of: μ= 310 and a standard deviation of: σ= 36.
According to the standard deviation rule, almost 2.5% of the students spent more than what amount of money on textbooks in a semester? ___

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12-12-2022
Mathematics

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The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of 349 and a standard deviation of 24. According to the standard deviation rule, approximately 95% of the students spent between ___$ and _$ on textbooks in a semester.
Question 12
Type numbers in the boxes.
1 points
The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 16. According to the standard deviation rule, __% of people have an IQ between 52 and 148. Do not round.
Question 13
Type numbers in the boxes.
10 points
The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 13. According to the standard deviation rule, only _% of people have an IQ over 139.
Question 14
Type numbers in the boxes.
10 points
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mean of: μ= 310 and a standard deviation of: σ= 36.
According to the standard deviation rule, almost 2.5% of the students spent more than what amount of money on textbooks in a semester? ___

Answer :

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contexto1028 contexto1028 · Answer 1 · 2022-12-19T04:21:47-05:00

(b) is the correct response. the students spend on textbooks in a semester between $250 and $2,000

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The tails of the curve are asymptotic, extending to infinity without touching the horizontal axis, and the curve is unimodal and symmetric about the mean. Since the majority of observations are centered on the mean, mean=mode=median.

99.7% of the area under the curve is approximately -3, or 3 standard deviations from the mean, according to the 68-95-99.7 rule. The z score is determined utilizing the accompanying recipe:

For z=3, solve for both x by equating the z score formula with -3 and 3.

3 = x 235 5 x = (3 5) + 235 x = 250 for z=-3:

3 = x 235 5 x = (3 5) + 235 x = 220 A student spends between $220 and $250 on textbooks each semester.

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Full Question = The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $235 and a standard deviation of $5. According to the standard deviation rule, how much did almost all (99.7%) of the students spend on textbooks in a semester?

a. Between 230 and 240 dollars.

b. Between 220 and 250 dollars.

c. Between 175 and 295 dollars.

d. Less than 220 dollars or more than 250 dollars.

e. Less than 230 dollars or more than 240 dollars.