Question

24) The world's smallest mammal is the bumblebee bat (Craseonycteris thonglongyai). Such bats are roughly the size of a large bumblebee. Listed are weights (in grams) of a SRS of these bats: 1.7, 1.6, 1.5, 2.0, 2.3, 1.6, 1.6, 1.8, 1.5, 1.7, 2.2, 1.4, 1.6, 1.6, and 1.6. Assume the bats come from a population that is normally distributed. Use a 0.10 significance level to test the claim that these bats come from a population whose mean weight is not 1.80 grams Hou + 1.80, Ho:u s 1.80 Ho:u = 1.80 Ho: 1.80 a) Ha: y = 1.80 Ha: > 1.80 Ha: u + 1.80) Hau < 1.80 25) See problem 24. State the critical value. a) - 1.341 b) +1.761 c) 1.345 d) +1.753 26) See problem 24. Calculate the test statistic. a) 1.713 b) 0.216 c) - 1.713 d) - 1.297 27) See problem 24. Calculate the pvalue. ao 0.0841 b) - 1.2972 c) 0.2155 d) 0.2588 28) See problem 24. Calculate the appropriate confidence interval. a) (1.60, 1.83) b) (1.6, 1.8) c) (1.57, 1.86) d) (1.6, 1.9) 29) See problem 24. State the technical conclusion based on the traditional method. a) The test statistic is closer to zero than is the critical value; Reject Ho.

Answer 1

Sol 24) Ho 1.80 HA 1.80 tnhlal Valud t 1.76/ 26 T itdtah stic 17133 3 1.80 0.25875 iS -1.2972 8 1-297 PYalul- 0.2155 2) 711333 t1761 X 0-2s875

(1.5957, 1-83098J 1.60, 1.83) 1 29 Tedt itatistie fs funtha fom is the cnitical valul Fall to taject Ho 30 P-ralue le qusalu thau alpha ; I Londlude fail to ufeet H 31) The confi den eu Iutu val con fains 1.0; fail to jett H I condlude nat dufficiud lauple evidene 32) Thu do dupport the clain hat these bats come who se pepulation hs nat mean