One group of students argues that every day, the average student must travel at least 25...

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:

Expert Solution

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.

orchestra answered 2 years ago

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