Question

You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 33 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 α-0.05 can you support the university's claim? Complete parts a through d below Assume the population is normally distributed. 38 30 31 26 34 32 36 30 32 40 27 25 280 24 28 (a) Write the claim mathematically and identify Ho and Ha Which of the following correctiy states Ho and Ha? ОС, НО p233 Ha H> 33 O D. Ho H<33 На : μ233 На μ<33 Ha : #33 (b) Use technology to find the P-value. PRound to three decimal places as needed.)

Answer 1

a)
H0 : mu >= 33
Ha : mu <33

b)

t = (x -mean)/(s/sqrt(n))
= ( 30.5 - 33) /(4.8294/sqrt(18))
= -2.196

p value = .0211

c)

Option B) reject H0

d)

Option C)