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4. You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 32 students. You want to test this claim. You randomly select 16 classes taught by full-time faculty and determine the class size of each. The results are given below. Use a significance level of a = 0.05 for your hypothesis test and assume that the population is normally distributed. 35 28 29 33 32 40 29 30 26 25 29 28 30 34 25 28 a) Using proper notation, state the null and alternative hypothesis and identify which hypothesis is the claim. Then state whether the test is left tailed, right tailed, or two tailed. (4 pts) b) State the critical value(s) rounded to two decimal places. (3 pts) c) State the standardized test statistic rounded to two decimal places. (4 pts) d) State the P-value rounded to three decimal places. (3 pts) e) Clearly state whether to "Reject the Null" or "Fail to Reject the Null." (3 pts) f) Select the correct interpretation: (3 pts) o At the 5% significance level, there is sufficient evidence to reject the claim. o At the 5% significance level, there is not enough evidence to reject the claim. o At the 5% significance level, there is sufficient evidence to support the claim. o At the 5% significance level, there is not enough evidence to support the claim