2. (10 points) You want to determine whether or not the average waiting time for Old Faithful eruptions is longer than 72 minutes One Sample t-test data: faithful$waiting t - -1.338, df - 271, p-value = 0.909 alternative hypothesis: true mean is greater than 72 95 percent confidence interval: 69.53653 Inf Sample estimates : mean of x 70. 89706 a. (5 points) What is the correct hypothesis test for this question? b. (5 points) What is the conclusion you draw from the t-test?1. (10 points) You want to know about the distribution of Air Temperatures a. Is the mean Temperature bigger than the median Temperature? (5 points) Histogram of airquality$ Temp Frequency 2 60 70 80 90 100 airquality$ Temp b. What can you say about the histogram of Air Temperature? (5 points)