Question

A statistical program is recommended The following observations are on stopping distance (ft) of a particular truck at 20 mph under specified experimental conditions 32.1 30.7 31.4 30.4 31.0 31.9 The report states that under these conditions, the maximum allowable stopping distance is 30. A normal probability plot validates the assumption that stopping distance is normally distributed (a) Does the data suggest that true average stopping distance exceeds this maximum value? Test the appropriate hypotheses using α = 0.01 State the appropriate hypotheses Ha: <30 Но: μ 30 Ho: 30 На: 30 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)

Answer 1

ohich a one mean.cofth unknoc Ropula standand devta hon all be used Based on He % ostrahon P oded 'tte 59 decavce level tsd:0ol' and the coahcal value- a tooo- tatled testte 4.032 The adecon gson oo these tes t: t4.032 he t-statstics s computed as follocos 31.233-30 4. Desion abad the null hyothes 4.032 ,잃 ts then co-eluded ttat tte null hyrrhess

tee P-value appenoach :"The p-value ts us, the vll hypothess 5. Conclusion 파es concluded tlat He null hypothesis H.* Lt S gected Thesne s enough evtrdance to claim that he Rpulahion mean ' eet thon o.at the oo Sigv facance level emen Sgma o-65 actual mean mu31 Beta oo7 cher actual mea mus3. Bela: 055 Type t e ohen alpha o.ol actual men mu 3l

n actaal mean mu 32, Beta: O 0-367. dl alpha :o o Siqma: 0 65 actual mean mu3 Beta :o.