Question

Question 1: Alex was studying how far the University students travelled to take the class on campus. Let W be the distance travelled (measured in miles). This time, a sample of size 50 was collected. He calculated the following statistics based on the sample:

W = 4.3

Alex wanted to run a hypothesis test with the null and alternative hypothesis as below:

Note that $LaTeX: \mu$ is the mean distance travelled by University students to come to campus.

Please calculate the test statistic for the hypothesis test. Please round the answer to the nearest hundredth.

Question 2: Alex was studying how far the University students travelled to take the class on campus. Let W be the distance travelled (measured in miles).  He collected a third sample. The sample size is 16. He calculated the following statistics:

Suppose that the sample size 16 is NOT large enough for normal approximation (Hint: use t distribution). Please provide the upper bound of the 90% two-sided Confidence Interval for $LaTeX: \mu$ , the mean distance travelled by UMN students to come to campus. Please round your answer to the nearest hundredth.

Let be the random variable of the t distribution with degree of freedom 15 .

Answer 1

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