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12. Solar energy is considered by many to be the energy of the future. A recent

ID: 3275924 • Letter: 1

Question

12. Solar energy is considered by many to be the energy of the future. A recent survey was taken to c solar the monthly utility bill of a 3-bedroom of $11. If the distribution can be considered bell shaped, what percentage of h e the cost of energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of hou ric energy had a mean of $120 and a standard deviation se using gas or electr more than $109? homes will have a monthly uility bill of 13. Health care issues are receiving much attention in both academic and political arenas. conducted a survey of citizens over 60 yea but who have no private health insurance. The ages of 25 uninsured sen A sociologist recently rs of age whose net worth is too high to qualify for government health care ior citizens were as follows: 68 73 66 76 86 74 61 89 65 90 69 92 76 62 81 63 68 81 70 73 60 87 75 64 82 Suppose the mean and standard deviation are 74.0 and 9.7, respectively. If we assume that the distribution of ages is bell shaped, what percentage of the respondents will be between 64.3 and 93.4 years old? 14. The cholesterol levels (in milligrams per deciliter) of 30 adults are listed below. Draw a boxplot that represents the data. Find any outliers. 154 156 165 165 170 171 172 180 184 185 189 189 190 192 195 196 198 200 200 200 205 205 211 215 220 220 225 238 255 275 15. The scores from a state standardized test have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use the Empirical Rule to find the percentage of students with scores between 70 and 130.

Explanation / Answer

12)

here mean=120 and sd=11

P(x>109)=P(z>109-120/11)=P(z>-1)=0.8413

so 84.13 of homes will have monthly utility bill of more than $109