Women are recommended to consume 1020 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 15 women who participated in the study is shown below: 1335, 1353, 2333, 21153, 1914, 132?, 1313, 1343, 1351, 1133,1931, 1335', 2334, 2333, 1??? Assuming that the distlihution is normal, what can he concluded at the or = 0.01 level of significance? a. Fur 113.133,, we should _ b. The null and altemative hypotheses would be: Ha: _I:] m: _|:] c. The test statistic = C] [please show your answer to 3 decimal places.} d. The p-value = Cl {Please show your answer to 4 decimal places.) e. The p-value is or f. Based on this, we should the null hypothesis. g. Thus, the final conclusion is that O The data suggest the populaton mean is signicantly different from 1810 at or = 0.01, so there is sufficient evidence to conclude that the population mean calolie intake for women at your college is different from 1810- O The data suggest that the population mean calorie intake for women at your college is not significantly different from 1320 at a: = 0.01 , so there is insufficient evidence to conclude that the population mean calolie intake for women at your college is different from 1320. O The data suggest the population mean is not significantly different from 1320 at o: = 0.01 , so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is equal to 1820. h. Interpret the palm in the context of the study. 0 If the population mean calorie intake for women at your college is 132D and if you surrey another 15 women at your college, then there would be a 13.221D09116% chance that the sample mean for these 15 women would either be less than 11"55 or greater than 13?5. C' There is a 13.22109 chance of a Type I error. Q There is a 13.2l chance that the population mean calorie intake for women at your college is not equal to 132:1. C! If the population mean calorie intake for women at your college is 1320 and if you survey another 15 women at your college then there would be a 131211109053; chance that the population mean would either be less than 11"55 or greater than 155. i. Interpret the level of significance in the context of the study. Q There is a 156 chance that the population mean calorie intake for women at your college is different from 1310. Q If the population mean calorie intake for women at your college is different from 1310 and if you survey another 15 women at your college, then there would be a 1% chance that we would end up falsely concuding that the population mean calorie intake for women at your college is equal to 13211. Q There is a 156 chance that the women at your college are just eating too many desserts and will all gain the freshmen 15. Q If the population mean calorie intake for women at your college is 1320 and if you survey another 15 women at your college, then there would be a 1% chance that we would end up falsely concuding that the population mean calorie intake for women at your college is different from 131D