Question

You receive a brochure from a large university. The brochure indicates that the mean class size for​ full-time faculty is fewer than 31 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 alpha equals 0.01​, can you support the​ university's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed. 36 You receive a brochure from a large university. The brochure indicates that the mean class size for​ full-time faculty is fewer than 31 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 alpha equals 0.01​, can you support the​ university's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed. 36 You receive a brochure from a large university. The brochure indicates that the mean class size for​ full-time faculty is fewer than 31 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 alpha equals 0.01​, can you support the​ university's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed. 36 ​(b) Use technology to find the​ P-value. ​(d) Interpret the decision in the context of the original claim. ​(c) Decide whether to reject or fail to reject the null hypothesis. ​(b) Use technology to find the​ P-value.

numbers:36,26,30,30,32,33,31,35,33,28,40,30,23,27,22,29,30,25

Answer 1

Solutien Given data 36,24,30, 3, 32, 33, 31, 35,33, 28, 40, 30,23,21,22, 24, 30,25 m-18 o o.0 Nocs to Find XΕx -+ 22+29+30+ 25 36t26+3032 + 540 8 30 Noc tofind the Sample standand deviotion V S= (4-30)t (20-30) +(30-30) (2-30)+ -+(22-30)t (21-30 )4 (30-30)t (25-30)2 |-S 18- 35వి Vao.To59 S= 4.5504 Now t state the null amd alte mahive hyfothests Null byfothesis Ho M3 Aitomative ytoss hN<31

b) Nou to find the test statistie We knoa that The famula of Test stahistic is givenb 30-3 4.5504 ViB - 4.5504 4. 2426 0125 0.93 Therefe est statishic -093 Noco to find thedegnees of freedem df =f8- df1 Now to find the P-vaue PValue -1827 Decision P-Value > 0.1827 0.01 athe Pale » >atethan the sijnifiance levee thenefe Ti yfothesis (Ho) we fail eject the

yomclusion At the level of gnifiance, theoe s not 3 Sufficient / class size to suppst the Claim that the mean Evidence f ful-time faculty i me than 31 students.