Residential Energy Consumption (East) 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 if approximately unimodal and symmetric. a. Between which two values would you expect to find about 68% of the per capita energy consumption rates? b. Between which two values would you expect to find about 95% of the per capita energy consumption rates? c. If an eastern state had a per capita residential energy consumption rate of 54 million BTU, would you consider this unusual? Explain. d. Indiana had a per capita residential energy consumption rate of 80.5 million BTU. Would you consider this unusually high? Explain.
Residential Energy Consumption (East) 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 if approximately unimodal and symmetric. a. Between which two values would you expect to find about 68% of the per capita energy consumption rates? b. Between which two values would you expect to find about 95% of the per capita energy consumption rates? c. If an eastern state had a per capita residential energy consumption rate of 54 million BTU, would you consider this unusual? Explain. d. Indiana had a per capita residential energy consumption rate of 80.5 million BTU. Would you consider this unusually high? Explain.
Solution Summary: The author states the range of values within which 68% of the data for per capita energy consumption lies.
Residential Energy Consumption (East) 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 if approximately unimodal and symmetric.
a. Between which two values would you expect to find about 68% of the per capita energy consumption rates?
b. Between which two values would you expect to find about 95% of the per capita energy consumption rates?
c. If an eastern state had a per capita residential energy consumption rate of 54 million BTU, would you consider this unusual? Explain.
d. Indiana had a per capita residential energy consumption rate of 80.5 million BTU. Would you consider this unusually high? Explain.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
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