Question

The following observations are are on stopping distance (n) of a particular truck at 20 mph under specified experimental conditions. 32.1 30.9 314 30.4 31.0 31.9 opping distanoe is 30. A normal probability plot validates the assumption that stopping distance is normally distributed average stopping distance exceeds this maximum value? Test the appropriate hypotheses using a-.01 State the apprepriate hypotheses Оно: μ-30 He' μ * 30 Me: μ + 30 30 Ho: 30 calculate the test statistic and ermine the Avalue. CRond your test statistic to two dend es and your Aalue to three acinal places.) P-value you condude? Reject the null hypothesis. There is not sufficient evidence to conclude that the true average stopping distance does exceed 30 t Do not reject the nuil hypothesis. There is not suficient evidence to concude that the brue average sbopping distance does enceed 3oR Reject the nuyothesis. There is sufficient evidence to conclude that the true average stopping distance does esceed 30 t. ○Donot reject the fua hypotheis. There is sumcient evidence to ordide that the true averaqe stopping atace does exceed "f. Cane either statistai stware or Table A.17). (Round your an-stree decree, aixes) Determine the probabity ofあtype llener when α-0.01, σ"0.65, and the actu" value of-is31 (N) Repeat this for -32(Round your answer te three decimal places) Repeat(D) se31.(Round your answer to three decimal places.) .. 0.50. (c) eeimal places.) -32. (Round your Reject the null hypothesis. There is not sufficient evidence to conclude that the true ODo not reject the null hypothesis. There is not sufficient evidence to conclude that the true a O Reject the null hypothesis. There is sufficient evidence to conclude that the true average stopping distance does exceed 30 ft. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average stopping distance does exceed 30 ft. (b) Determine the probability of a type Il error when a-0.01, σ = 0.65, and the actual value of μ is 31 (use either statistical software or Table A17) (Round your answer to Repeat this for μ-32. (Round your answer to three decimal places.) (c) Repeat (b) using σ-0.80. Use-31. (Round your answer to three decimal places.) Use μ-32. (Round your answer to three decimal places.) Compare to the results of (b). we saw β decrease when σ increased. we saw β increase when increased to the nearest whole number.) .10 when μ-31 and O-0.657(Round your answer what is the smallest sample size necessary to have a " 0.01 and β-0 (d)

Answer 1

32.1 30.9 31.4 30.4 31 31.9 187.7 xbar 31.28333 mean X

Ghan dala 31 093 30 3 31.1. than 0.07 -knd 0.0

mean 31.283 --And ,8.ctu. О. '4

31. 283-30 t. 233 2.440 s 28 28.399 4,032 2 4.402 > Conlufon 这 Steieeled. even