Question

Final Examination Math 311 Name Schwiegerling May 15, 2019 Read the directions and each question carefully. For each question, be sure to include Ho, Ha, a claim, a numerical calculation, a diagram, and a concluding sentence. ALL calculated results should be to 2 decimal places! 1a) A sprinkler alarm system in an office complex is designed to activate when the room temperature reaches at most 128 F. To test this claim you randomly select 33 alarm systems and find that the mean activation temperature is 130.4° F with a population standard deviation of 6.4° F. At α 0.01 is there enough evidence to reject the manufacturer's claim? İb) If n were increased to 4s in this problem, w hat would be your concluding sentence.

Answer 1

0 solution. ive thot (a = 128 Population standozd deviation 6. level of significance oo ơ--6-4 Sample Size n-33 - The mean activation tempoatuse ohede Hypottresis: - Null hypothesis: Ho: H 128 hypothesis : . Hi) μ<129 Alteonative hese, we have test stotistics Z га 130,ฯ-128 611 2. 4 61Y 5 7446 coitical value Zoor- 2 3263 Fdom z- table

con clusion Cal 2 3263 So, we dejedt Ho Thede is sufpicient evidence to dejeck claim manufactuซed's given sample size几=45 Then 130.4-128 Test statistics Zcol 6.4 6.7082 2.4 0 954 ZCol2-5155 coitical value 22.3263 Foom 2- table Zcol 7 Zcitical 2.5155 72.3263 50, ae pail to eject Ho Concusion So these is no Suicient evidence to deject monuF a ctuses claim