Part 1 Part 2 part 3 for fall ime faculty tverthan Complete parts (a through (d)

Question

Part 1

Part 2

part 3

for fall ime faculty tverthan Complete parts (a through (d) the population normally distributed 37 (a Wite the daim mathematically and identity He and Ha Which ofthe following oorreotyzatesH and Ha? H.: 31 O D. Ho: 21 H.: us 31 Use technology to find the F-alue. Found to three decimal paces needed Decide whether to rejector falto rejectthe mulhypothesis. Which of the following oorrect? O A. RejectH because the valueis greater than the senroanoe level. C. Falto reject Ho because the F-value isless than the signnaanoe level D. Fail to reject Ho because the F-value is greater than the significanoe ewel d interpret the decision in the contextofthe oriinalclaim. A. At the 5% level of significance there is not suficientevidence to supporthe daimhathe for fil-time faculy C. At the level of gnifcanoe,there notsuficientevidenoe to supportthe damthatthe randomly elect 18 Ha u 31 OF HOR 31 H.: u 31 B At the 5% lewel of significance there is suficientevidence to supportthe claimthatthe D. At the level of significance the supportthe dizimthatthe yo supportthe universty dem? for fal-time faculty fewer than forfall ime faculty

Explanation / Answer

part 1:

a) option B

b)

option D: fail to reject Ho

d) option C is correct

part 2

option D is correct

part 3

option D'; cause both np and nq greater then 5

null and alternate hypothesis: option B is correct

critical values are --/+ 2.5758

for std error=(p(1-p)/n)1/2 =0.0288

test stat z=(phat-p)/std error =(0.19-0.21)/0.0288 =-0.6944

we can not reject null hypothesis

X 37 30 31 32 31 43 25 22 26 25 28 37 33 26 27 32 25 24 mean(X) 29.235 std deviation(S) 5.286 std error =S/(n)1/2 1.282 t=(X-31)/std error -1.376 p value 0.0933

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