Q3. The following data represent a random sample of 10 houses in a particular area, each of which is heated with natural

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Q3 The Following Data Represent A Random Sample Of 10 Houses In A Particular Area Each Of Which Is Heated With Natural 1 (70.32 KiB) Viewed 45 times

Q3. The following data represent a random sample of 10 houses in a particular area, each of which is heated with natural gas, is selected and the amount of gas (therms) used during the month of March is determined for each house. 130 165 181 98 152 174 122 190 138 99 Let μ denote the average gas usage during March by all houses in this area. Compute a point estimate of μ. What is the estimated standard error of the estimator? (8 marks) (a) (b) (c) Construct a 95% and 99% confidence interval about μ in Q3(a). (8 marks) Suppose there are 10,000 houses in this area that use natural gas for heating. Let M denote the total amount of gas used by all these houses during March. Estimate M using the data of Q3(a). What estimator did you use in computing your estimate? (4 marks)