The amount of Jen's monthly phone bill is normally distributed with a mean of $55 and a standard deviation of $8.Draw and label the Normal model for Jen's monthly phone bill.In what interval would you expect the central 68% of bills to be found?

A) ; $31 to $79
B) ; $39 to $71
C) ; $47 to $71
D) ; $47 to $63
E) ; $39 to $63

Question

The amount of Jen's monthly phone bill is normally distributed with a mean of $55 and a standard deviation of $8.Draw and label the Normal model for Jen's monthly phone bill.In what interval would you expect the central 68% of bills to be found?

A)

; $31 to $79
B) The amount of Jen's monthly phone bill is normally distributed with a mean of $55 and a standard deviation of $8.Draw and label the Normal model for Jen's monthly phone bill.In what interval would you expect the central 68% of bills to be found? A) ; $31 to $79 B) ; $39 to $71 C) ; $47 to $71 D) ; $47 to $63 E) ; $39 to $63

; $39 to $71
C) The amount of Jen's monthly phone bill is normally distributed with a mean of $55 and a standard deviation of $8.Draw and label the Normal model for Jen's monthly phone bill.In what interval would you expect the central 68% of bills to be found? A) ; $31 to $79 B) ; $39 to $71 C) ; $47 to $71 D) ; $47 to $63 E) ; $39 to $63

; $47 to $71
D) The amount of Jen's monthly phone bill is normally distributed with a mean of $55 and a standard deviation of $8.Draw and label the Normal model for Jen's monthly phone bill.In what interval would you expect the central 68% of bills to be found? A) ; $31 to $79 B) ; $39 to $71 C) ; $47 to $71 D) ; $47 to $63 E) ; $39 to $63

; $47 to $63
E) The amount of Jen's monthly phone bill is normally distributed with a mean of $55 and a standard deviation of $8.Draw and label the Normal model for Jen's monthly phone bill.In what interval would you expect the central 68% of bills to be found? A) ; $31 to $79 B) ; $39 to $71 C) ; $47 to $71 D) ; $47 to $63 E) ; $39 to $63

; $39 to $63

Angela Reji Philip · Accepted Answer

Final Answer : D, Explanation :  To draw the Normal model, we use the mean of $55 as the center and the standard deviation of $8 to determine how spread out the distribution is. We can label the model as follows:Mean = $55Standard deviation = $8Using the Empirical Rule, we know that approximately 68% of bills will be within 1 standard deviation of the mean. Therefore, we can estimate the interval for the central 68% as follows:Lower bound = $55 - $8 = $47Upper bound = $55 + $8 = $63So, the best choice is D, which corresponds to $47 to $63 as the interval for the central 68% of bills.

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