Question

Perform a hypothesis test to verify or deny with 90% certainty the claim that the average number of acres in PA state parks is less than 2000 acres. A random sample of five such parks has these acreages: 959, 1187, 493, 6249, 541. State a statistically appropriate conclusion.

Answer 1

Using TI 84 calculator

press stat then edit and enter the data set in L1

press stat again, then tests and select Ttest

enter the data values

press calculate, we get

test statistic = -0.104

p value = 0.4611

p value sis greater than 0.10 significance level, so we will not reject the null hypothesis

therefore, we can cay that there is insufficient evidence to conclude that the average number of acres in PA state parks is less than 2000 acres (this is the required statistically appropriate conclusion)