Question

1. Test the hypothesis that the population mean is equal to 15, use the following information and state your conclusion. (Show all 5 steps.). (7 points) 150 a. Use a sample mean of 14.00 b. Use a sample mean of 15.50 α,05 5 c. Use a sample mean of 13.50. d. For the hypothesis test used in this problem, state in words what the typeI error is. (Do not use any symbols.)

Answer 1

Solution: Give n tot tla population mean R ual to 15 and also given n=50 gaupleSae loIS ulotion mea) pothe kis uofll be le gi a@ 안 50%. Sclfficient inco o hence he tez test Ap al cedate tte test statistic . そ--&. 353

Rom e standaxd namal tablel tailed p-value2 Statictc P- vatue 00092 05, heuce ject it e accopt o altemative rottosis Heuce epulation mea P los than S b15.5 Tua ul oud alte native hypotesis lange, hanceewe -test

ice alculatitto test Statistic 0 プそ冫 15-5-1ぐ V50 卡om tuo gland ud Manual table, uo.ttud tett tailed P-value 꾼 gtatístic. →n-value- r(R> 1-1규 85):01193 Valuc o 1930 05, hence do not obesis tou co he Conclude, population mean R9μ The hult and altnative hypokesis

cieut ge heuce use usez tert te Calculate the test static tic z C 7. 050 =-3.5356 tailed p-value of -tac, Statistic. P-value-P(z <-3.53%): 0.000 At oo 05 P-value Or0002. <005, hence reject Hakuu accopt atyntiue yroteinc tleuce ue douclude, population wean R les tan15

Seject Pro tHenee shen actually -50 o5