Question

In: Statistics and Probability

Suppose a government department would like to investigate the relationship between the cost of heating a...

Suppose a government department would like to investigate the relationship between the cost of heating a home during the month of February in the Northeast and the home's square footage. The accompanying data set shows a random sample of 10 homes. Construct a 90% confidence interval to estimate the average cost in February to heat a Northeast home that is 2,200 square feet.

Heating

Square

Heating

Square

Cost​ ($)

Footage

Cost​ ($)

Footage

330

2,420

450

2,610

280

2,430

320

2,220

300

2,030

390

3,110

270

2,240

340

2,520

300

2,340

360

2,940

Determine the upper and lower limits of the confidence interval.

UCL=

LCL=

Solutions

Expert Solution

from above:

UCL =268.2110

LCL=338.7626


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