The following quotes for cleaning cost have been obtained from a random sample of 12 providers chosen from a much larger population, prior to awarding a contract for these services:

a. Approximately how far is the average of these 12 quotes from the unknown mean for the entire population of providers?
b. Find the 95% confidence interval for the population mean quote.
c. Find the 99% confidence interval for the population mean quote.
d. Find the one-sided 95% confidence interval that claims that the population mean quote is no larger than some value.
e. Find the one-sided 99% confidence interval that claims that the population mean quote is no larger than some value.

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$114, 154, 142, 132, 127, 145, 135, 138, 126, 142, 135, 124