Question

24,19,21,20,18,19,16,17,21,20,18,16,21,17,19,17,17,16,16,19,15,23

a. Construct a

9999​%

confidence interval estimate for the population mean miles per gallon of 2008 SUVs priced under​ $30,000, assuming a normal distribution.

nothing less than or equals≤muμless than or equals≤nothing

​(Round to two decimal places as​ needed.)

Answer 1

From given data,

Sample mean = 18.5909

Sample standard deviation S = 2.40355

t critical value at 0.01 level with 21 df = 2.831

99% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

18.5909 - 2.831 * 2.40355 / sqrt(22) < < 18.5909 + 2.831 * 2.40355 / sqrt(22)

17.19 < < 20.04