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Math · Statistics And Probability
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A random sample of single occupancy dorm rooms from the University was obtained. The size of each room (in square feet) is here

University Dorms (sq ft)

175

182

165

204

212

169

171

178

174

134

171

196

196

127

200

178

172

186

155

146

211

154

181

152

146

193

174

147

154

(1)Find a point estimate for the mean area of single occupancy dorm rooms at this university. Round your final answer to TWO decimal places.

(2)Find the standard error of the sample mean.Round your final answer to THREE decimal places.

(3)Find the margin of error for the 95% C.I. for mean area of single occupancy dorm rooms at this University. Round your final answer to TWO decimal places.

(4)Construct and interpret a 95% C.I. for the mean area of single occupancy dorm rooms at this University.Report your LOWER LIMIT for the CI rounded to TWO decimal places.

(5)Construct and interpret a 95% C.I. for the mean area of single occupancy dorm rooms at this University. Report your UPPER LIMIT for the CI rounded to TWO decimal places.

(6)Substantial construction of new residence halls has occurred since this study was done. Find the required sample size to estimate the new mean area of standard dorm rooms within 10 square feet of the true mean by using a 99% confidence interval. Assume a standard deviation of 20 square feet.

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