Question

One group of students argues that every day, the average student must travel at least 25 minutes in one direction to get to college. The university's admissions office obtained a random sample of 30 travel times at a student address. The sample had a mean of 19.5 minutes and a standard deviation of 9.5 minutes. Does the admissions office have enough evidence to reject what the students have said? Use α = 0.01
Answer the following:
Hypothesis test: Ho: μ = versus H1: μ
Using the classical method: The value of the test statistic (to two decimal places) is:
The critical value is:
The decision is:
Conclusion:

Answer 1

Solution-

● Hypothesis Test-

● The value of test statistic-

t = -3.17

● The critical value-

Based on the information provided, the significance level is α=0.01, and the critical value for a left-tailed test tc ​= -2.462.

●The decision is -

● Conclusion-

so, the test results that the Null hypothesis Ho is rejected.

Therefore , we have enough evidence to support the claim that the average student must be travel at least 25 minutes in one direction to get to the college.