Test: Chapter 7 Exam Submit Test This Question: 1 pt 19 of 26 (0 complete) This

Question

Test: Chapter 7 Exam Submit Test This Question: 1 pt 19 of 26 (0 complete) This Test: 26 pts possible 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 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At = 0.01, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed 35 31 37 31 39 34 35 39 23 31 23 (a) Write the claim mathematically and identify Ho and Ha Which of the following correctly states Ho and Ha? OA. Ho: = 32 D. HOP 32 O B. Ho :

Explanation / Answer

Question 1

H0 : 32

Ha : < 32

Option E is correct.

(b)

Sample size n = 18

sample standard deviation s = 5.26

sample mean x = 30.56

(b) Here standard error of sample mean se0 = s/sqrt(n) = 5.26/ sqrt (18) = 1.24

Test statisric

t = (x - H)/ se0 = (30.56 - 32)/ 1.24 = -1.16

p - value = Pr(t > 1.16; dF = 17) = 0.1300

(c) We fail to reject the null hypothesis because P- valueis greater than significance level.

Option B is correct.

(d) At the 1% level of significance, there is not sufficient evidence to support the claim that the mean class size is fewer than 32 students. Option C is correct.

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