According to the Carnegie unit system, the recommended number ofhours students should study per unit is 2. Are statistics students'study hours more than the recommended number of hours per unit? Thedata show the results of a survey of 13 statistics students whowere asked how many hours per unit they studied. Assume a normaldistribution for the population. 3.1, 2.6, 2.9, 4.2, 3.9, 1.9, 0.6,2.4, 0.8, 2.7, 4.3, 3.7, 2.1 What can be concluded at the α α =0.05 level of significance? a.For this study, we should use Selectan answer z-test for a population proportion t-test for apopulation mean b.The null and alternative hypotheses would be: H0:H0: ? p μ ? ≠ < = > H1: H1: ? μ p ? ≠ > < = c.The teststatistic ? t z = (please show your answer to 3 decimal places.)d.The p-value = (Please show your answer to 4 decimal places.)e.The p-value is ? ≤ > α α f.Based on this, we should Select ananswer fail to reject reject accept the null hypothesis. g.Thus,the final conclusion is that ... The data suggest the populationmean is not significantly more than 2 at α α = 0.05, so there issufficient evidence to conclude that the population mean study timeper unit for statistics students is equal to 2. The data suggestthat the population mean study time per unit for statisticsstudents is not significantly more than 2 at α α = 0.05, so thereis insufficient evidence to conclude that the population mean studytime per unit for statistics students is more than 2. The datasuggest the populaton mean is significantly more than 2 at α α =0.05, so there is sufficient evidence to conclude that thepopulation mean study time per unit for statistics students is morethan 2. h.Interpret the p-value in the context of the study. Thereis a 2.53303373% chance that the population mean study time perunit for statistics students is greater than 2. There is a2.53303373% chance of a Type I error. If the population mean studytime per unit for statistics students is 2 and if you surveyanother 13 statistics students then there would be a 2.53303373%chance that the population mean study time per unit for statisticsstudents would be greater than 2. If the population mean study timeper unit for statistics students is 2 and if you survey another 13statistics students then there would be a 2.53303373% chance thatthe sample mean for these 13 statistics students would be greaterthan 2.71. i.Interpret the level of significance in the context ofthe study. There is a 5% chance that the population mean study timeper unit for statistics students is more than 2. There is a 5%chance that students just don't study at all so there is no pointto this survey. If the population mean study time per unit forstatistics students is 2 and if you survey another 13 statisticsstudents, then there would be a 5% chance that we would end upfalsely concuding that the population mean study time per unit forstatistics students is more than 2. If the population mean studytime per unit for statistics students is more than 2 and if yousurvey another 13 statistics students, then there would be a 5%chance that we would end up falsely concuding that the populationmean study time per unit for statistics students is equal to 2.