The manufacturer claims that your new car gets 31 mpg on thehighway. You suspect that the mpg is a different number for yourcar. The 40 trips on the highway that you took averaged 28.7 mpgand the standard deviation for these 40 trips was 5.8 mpg. What canbe concluded at the α α = 0.01 level of significance? a.For thisstudy, we should use Select an answer z-test for a populationproportion t-test for a population mean b.The null and alternativehypotheses would be: H0: H0: ? μ p ? ≠ = > < H1: H1: ? μ p ?> < = ≠ c.The test statistic ? t z = (please show your answerto 3 decimal places.) d.The p-value = (Please show your answer to 4decimal places.) e.The p-value is ? ≤ > α α f.Based on this, weshould Select an answer reject fail to reject accept the nullhypothesis. g.Thus, the final conclusion is that ... The datasuggest that the sample mean is not significantly different from 31at α α = 0.01, so there is statistically insignificant evidence toconclude that the sample mean mpg for your car on the highway isdifferent from 28.7. The data suggest that the population mean isnot significantly different from 31 at α α = 0.01, so there isstatistically insignificant evidence to conclude that thepopulation mean mpg for your car on the highway is different from31. The data suggest that the populaton mean is significantlydifferent from 31 at α α = 0.01, so there is statisticallysignificant evidence to conclude that the population mean mpg foryour car on the highway is different from 31. h.Interpret thep-value in the context of the study. There is a 1.64116434% chanceof a Type I error. If the population mean mpg for your car on thehighway is 31 and if you take another 40 trips on the highway thenthere would be a 1.64116434% chance that the population mean wouldeither be less than 28.7 or greater than 33.3. There is a1.64116434% chance that the population mean mpg for your car on thehighway is not equal to 31. If the population mean mpg for your caron the highway is 31 and if you take another 40 trips on thehighway, then there would be a 1.64116434% chance that the samplemean for these 40 highway trips would either be less than 28.7 orgreater than 33.3. i.Interpret the level of significance in thecontext of the study. There is a 1% chance that you own an electricpowered car, so none of this matters to you anyway. If thepopulation population mean mpg for your car on the highway isdifferent from 31 and if you take another 40 trips on the highway,then there would be a 1% chance that we would end up falselyconcluding that the population mean mpg for your car on the highwayis equal to 31. There is a 1% chance that the population mean mpgfor your car on the highway is different from 31. If the populationmean mpg for your car on the highway is 31 and if you take another40 trips on the highway, then there would be a 1% chance that wewould end up falsely concluding that the population mean mpg foryour car on the highway is different from 31.