Question

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 Cost($)   Square_Footage
330 2440
300 2430
310 2040
250 2210
320 2350
450 2620
340 2210
400 3120
340 2510
370 2930

Determine the upper and lower limits of the confidence interval.

UCL $_____

LCL $______

Answer 1

The table given below ,

Heating Cost(X)	Square Footage(Y)
330	2440
300	2430
310	2040
250	2210
320	2350
450	2620
340	2210
400	3120
340	2510
370	2930

From given data,

The pooled estimate is ,

Therefore , the 90% confidence interval to estimate the average cost in February to heat a Northeast home that is 2,200 square feet is ,