Data on residential energy consumption per capita (measured in million BTU) had a mean of 70.8 and a standard deviation of 7.3 for the states east of the Mississippi River. Assume that the distribution of residential energy use is approximately unimodal and symmetric. Complete parts (a) through (d) below. a. Between which two values would you expect to find approximately the middle 68% of the per capita energy consumption rates? Between and million BTU (Round to one decimal place as needed. Use ascending order.) b. Between which two values would you expect to find approximately the middle 95% of the per capita energy consumption rates? Between and million BTU (Round to one decimal place as needed. Use ascending order.) c. If an eastern state had a per capita residential energy consumption rate of 54.5 million BTU, would this be considered unusual? Explain. O A. No, because 54.5 million BTU is more than two standard deviations from the mean. O B. No, because 54.5 million BTU is not more than two standard deviations from the mean. O C. Yes, because 54.5 million BTU is more than two standard deviations from the mean. O D. Yes, because 54.5 million BTU is not more than two standard deviations from the mean. d. Vermont had a per capita residential energy consumption rate of 61.6 million BTU, would this be considered unusually low? Explain. O A. No, because 61.6 million BTU is not more than two standard deviations below the mean. O B. Yes, because 61.6 million BTU is not more than two standard deviations below the mean. OC. No, because 61.6 million BTU is more than two standard deviations below the mean. O D. Yes, because 61.6 million BTU is more than two standard deviations below the mean.

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Data on residential energy consumption per capita​ (measured in million​ BTU) had a mean of

70.8

and a standard deviation of

7.3

for the states

east of

the

Mississippi River.

Assume that the distribution of residential energy use is approximately unimodal and symmetric. Complete parts​ (a) through​ (d) below.

Data on residential energy consumption per capita (measured in million BTU) had a mean of 70.8 and a standard deviation of 7.3 for the states east of the Mississippi River. Assume that the distribution of residential energy use is approximately unimodal and
symmetric. Complete parts (a) through (d) below.
a. Between which two values would you expect to find approximately the middle 68% of the per capita energy consumption rates?
Between
and
million BTU
(Round to one decimal place as needed. Use ascending order.)
b. Between which two values would you expect to find approximately the middle 95% of the per capita energy consumption rates?
Between
and
million BTU
(Round to one decimal place as needed. Use ascending order.)
c. If an eastern state had a per capita residential energy consumption rate of 54.5 million BTU, would this be considered unusual? Explain.
O A. No, because 54.5 million BTU is more than two standard deviations from the mean.
O B. No, because 54.5 million BTU is not more than two standard deviations from the mean.
O C. Yes, because 54.5 million BTU is more than two standard deviations from the mean.
O D. Yes, because 54.5 million BTU is not more than two standard deviations from the mean.
d. Vermont had a per capita residential energy consumption rate of 61.6 million BTU, would this be considered unusually low? Explain.
O A. No, because 61.6 million BTU is not more than two standard deviations below the mean.
B. Yes, because 61.6 million BTU is not more than two standard deviations below the mean.
O C. No, because 61.6 million BTU is more than two standard deviations below the mean.
D. Yes, because 61.6 million BTU is more than two standard deviations below the mean.
Transcribed Image Text:Data on residential energy consumption per capita (measured in million BTU) had a mean of 70.8 and a standard deviation of 7.3 for the states east of the Mississippi River. Assume that the distribution of residential energy use is approximately unimodal and symmetric. Complete parts (a) through (d) below. a. Between which two values would you expect to find approximately the middle 68% of the per capita energy consumption rates? Between and million BTU (Round to one decimal place as needed. Use ascending order.) b. Between which two values would you expect to find approximately the middle 95% of the per capita energy consumption rates? Between and million BTU (Round to one decimal place as needed. Use ascending order.) c. If an eastern state had a per capita residential energy consumption rate of 54.5 million BTU, would this be considered unusual? Explain. O A. No, because 54.5 million BTU is more than two standard deviations from the mean. O B. No, because 54.5 million BTU is not more than two standard deviations from the mean. O C. Yes, because 54.5 million BTU is more than two standard deviations from the mean. O D. Yes, because 54.5 million BTU is not more than two standard deviations from the mean. d. Vermont had a per capita residential energy consumption rate of 61.6 million BTU, would this be considered unusually low? Explain. O A. No, because 61.6 million BTU is not more than two standard deviations below the mean. B. Yes, because 61.6 million BTU is not more than two standard deviations below the mean. O C. No, because 61.6 million BTU is more than two standard deviations below the mean. D. Yes, because 61.6 million BTU is more than two standard deviations below the mean.
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