0 Question 26 80/1 pt'OZ According to the Carnegie unit system, the recommended number of hours students should study per unit is 2. Are statistics students' study hours less than the recommended number of hours per unit.7 The data show the results of a survey of 14 statistics students who were asked how many hours per unit they studied. Assume a normal distribution for the population. 03,11, 3, 1.7, o, 1.3, o, 2.2, 2.3, 3.1, o, 3.3, 0,9, 0.9 What can be concluded at the 'alpha' = 0.01 level of significance? a. For this study, we should use Select an answer V b. The null and alternative hypotheses would be: 'H,0:' 7 V Selectananswer v 'HJF ? V Selectananswer V c. The test statistic ? V = (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 ? V 'alpha' f. Based on this, we should Seiect an answer v the null hypothesis, g. Thus, the final conclusion is that The data suggest the populaton mean is significantly less than 2 at Valpha' = 0.01, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is less than 2. The data suggest the population mean is not significantly less than 2 at 'alpha' = 0.01, so there is sufficient evidence to conclude that the population mean study time per unit for statistics students is equal to 2. The data suggest that the population mean study time per unit for statistics students is not significantly less than 2 at 'alpha' = 0.01 , so there is insufficient evidence to conclude that the population mean study time per unit for statistics students is less than Z. h, Interpret the p-value in the context of the study. There is a 163633028696 chance of a Type I error, If the population mean study time per unit for statistics students is Z and if you survey another 14 statistics students, then there would be a 163633018696 chance that the sample mean for these 14 statistics students would be less than 1 ,65. There is a 163633028696 chance that the population mean study time per unit for statistics students is less than Z. If the population mean study time per unit for statistics students is Z and if you survey another 14 statistics students, then there would be a 163633018696 chance that the population mean study time per unit for statistics students would be less than 2. i, Interpret the level of significance in the context of the study. If the population mean study time per unit for statistics students is less than 2 and if you survey another 14 statistics students, then there would be a 1% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is equal to 2, There is a 1% chance that the population mean study time per unit for statistics students is less than 2. 29 There is a 1% chance that students just don't study at all so there is no point to this survey If the population mean study time per unit for statistics students is Z and if you survey another 14 statistics students, then there would be a 1% chance that we would end up falsely concuding that the population mean study time per unit for statistics students is less than 2. 0 Question 27 B 0/1 pt '0 Z 51% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 140 of the 255 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of 'alpha' = 0.05? a. For this study, we should use Seiectan answer V b. The null and alternative hypotheses would be: Ho: '2 v Selectan answer v (please enter a decimal) H1: 7 v Selectan answer v (Pleaseenteradecimal) c. The test statistic ? V = (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 ? V 'alpha' f. Based on thisy we should Select an answer V the null hypothesis. g. Thus, the final conclusion is that The data suggest the populaton proportion is significantly different from 51% at ' alpha' = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is different from 51% The data suggest the population proportion is not significantly different from 51% at 'alpha' = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is equal to 51%. The data suggest the population proportion is not significantly different from 51% at 'alpha' = 0.05, so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is different from 51%. h. Interpret the p-value in the context of the study. If the sample proportion of students who played intramural sports who received a degree within six years is 55% and if another 255 voters are surveyed then there would be a 21.26% chance that we would conclude either fewer than 5196 of all students who played intramural sports received a degree within six years or more than 51% of all students who played intramural sports received a degree within six years. There is a 21.26% chance of a Type I error. If the population proportion of students who played intramural sports who received a degree within six years is 51% and if another 255 students who played intramural sports are surveyed then there would be a 21.26% chance that either more than 55% of the 255 studetns surveyed received a degree within six years or fewer than 4796 of the 255 students surveyed received a degree within six years. There is a 21.26% chance that the percent of all students who played intramural sports who received a degree within six years differs from 51%. i. Interpret the level of significance in the context of the study. There is a 5% chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth. If the population proportion of students who played intramural sports who received a degree within six years is different from 51% and if another 255 students who played intramural sports are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is equal to 51%. There is a 5% chance that the proportion of all students who played intramural sports who received a degree within six years is different from 51%. If the population proportion of students who played intramural sports who received a degree within six years is 51% and if another 255 students who played intramural sports are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is different from 51% 0 Question 28 E 0/1 pt '0 Z Match each scatterplot shown below with one of the four specified correlations. 8 08 a. 051 O o be -o,93 O O 6%: c, 0'94 ds -o,45