A doctor believes that the average age of single mothers is 20 years.A random sample of 10 single mothers was drawn from a Obstetrics Clinic. Their ages are 22, 17, 27, 20, 23, 19, 24, 18, 19, and 24 years.

Test to determine if we can infer at the 5% significance level that the population mean is not equal to 20.State your conclusion.

You may use etherthe table below from Excel or the formulas in your book.

t-Test: Mean Mean21.3

Standard Deviation3.199

Observations10

Hyothesized Mean20

t Statistic1.2851

P(T<=t) One-Tail 0.1154

t Critical One-Tail 1.8331

P(T<=t) Two-Tail 0.2308

t Critical Two-Tail 2.2622