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...

Solve all parts please 2

Extracted text: 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 a = 0.10, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 31 26 32 31 32 41 23 30 22 275 26 29 35 36 30 27 28 (a) Write the claim mathematically and identify Ho and H. Which of the following correctly states H, and H? O A. Ho: H2 32 O B. Ho:H<32 hai="" h2="" 32="" oc.="" ho:="" μ="">32 Ha:H<32 hai="" u5="" 32="" o="" d.="" ho:="" h="32" of.="" ho:="" u="32" o="" e.="" ho:hs="" 32="" hạih=""> 32 HaiH<32 (b) use technology to find the p-value. p= (round to three decimal places as needed.) (c) decide whether to reject or fail to reject the null hypothesis. which of the following is correct? o a. fail to reject ho because the p-value is less than the significance level. o b. reject ho because the p-value is less than the significance level. o c. reject ho because the p-value is greater than the significance level. o d. fail to reject ho because the p-value is greater than the significance level. (d) interpret the decision in the context of the original claim. o a. at the 10% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 32 students. o b. at the 10% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 32 students. o c. at the 10% level of significance, there is not sufficient evidence to support o d. at the 10% level of significance, there is not sufficient evidence to support the claim that the mean class size for full-time faculty is more than 32 students. the claim that the mean class size for full-time faculty is fewer than 32 students. (b)="" use="" technology="" to="" find="" the="" p-value.="" p="(Round" to="" three="" decimal="" places="" as="" needed.)="" (c)="" decide="" whether="" to="" reject="" or="" fail="" to="" reject="" the="" null="" hypothesis.="" which="" of="" the="" following="" is="" correct?="" o="" a.="" fail="" to="" reject="" ho="" because="" the="" p-value="" is="" less="" than="" the="" significance="" level.="" o="" b.="" reject="" ho="" because="" the="" p-value="" is="" less="" than="" the="" significance="" level.="" o="" c.="" reject="" ho="" because="" the="" p-value="" is="" greater="" than="" the="" significance="" level.="" o="" d.="" fail="" to="" reject="" ho="" because="" the="" p-value="" is="" greater="" than="" the="" significance="" level.="" (d)="" interpret="" the="" decision="" in="" the="" context="" of="" the="" original="" claim.="" o="" a.="" at="" the="" 10%="" level="" of="" significance,="" there="" is="" sufficient="" evidence="" to="" support="" the="" claim="" that="" the="" mean="" class="" size="" for="" full-time="" faculty="" is="" fewer="" than="" 32="" students.="" o="" b.="" at="" the="" 10%="" level="" of="" significance,="" there="" is="" sufficient="" evidence="" to="" support="" the="" claim="" that="" the="" mean="" class="" size="" for="" full-time="" faculty="" is="" more="" than="" 32="" students.="" o="" c.="" at="" the="" 10%="" level="" of="" significance,="" there="" is="" not="" sufficient="" evidence="" to="" support="" o="" d.="" at="" the="" 10%="" level="" of="" significance,="" there="" is="" not="" sufficient="" evidence="" to="" support="" the="" claim="" that="" the="" mean="" class="" size="" for="" full-time="" faculty="" is="" more="" than="" 32="" students.="" the="" claim="" that="" the="" mean="" class="" size="" for="" full-time="" faculty="" is="" fewer="" than="" 32="">