Women are recommended to consume 1770 calories per day. You suspect that the average calorie intake is smaller for women at your college. The data for the 13 women who participated in the study is shown below: 1685, 1451, 1931, 1730, 1718, 1814, 1587, 1533, 1823, 1665, 1525, 1882, 1733 Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis.

Women are recommended to consume 1770 calories per day. You suspect that the average calorie intake is smaller for women at your college. The data for the 13 women who participated in the study is shown below:

1685, 1451, 1931, 1730, 1718, 1814, 1587, 1533, 1823, 1665, 1525, 1882, 1733

Assuming that the distribution is normal, what can be concluded at the αα = 0.05 level of significance?

1. For this study, we should use    
2. The null and alternative hypotheses would be:     

 H0:H0:                 

 H1:H1:              

1. The test statistic     =  (please show your answer to 3 decimal places.)
2. The p-value =  (Please show your answer to 4 decimal places.)
3. The p-value is     αα
4. Based on this, we should      the null hypothesis.
5. Thus, the final conclusion is that ...
   • The data suggest the populaton mean is significantly less than 1770 at αα = 0.05, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1770.
   • The data suggest the population mean is not significantly less than 1770 at αα = 0.05, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is equal to 1770.
   • The data suggest that the population mean calorie intake for women at your college is not significantly less than 1770 at αα = 0.05, so there is insufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1770.
6. Interpret the p-value in the context of the study.
   • There is a 4.95990281% chance that the population mean calorie intake for women at your college is less than 1770.
   • If the population mean calorie intake for women at your college is 1770 and if you survey another 13 women at your college, then there would be a 4.95990281% chance that the population mean calorie intake for women at your college would be less than 1770.
   •  There is a 4.95990281% chance of a Type I error.
   • If the population mean calorie intake for women at your college is 1770 and if you survey another 13 women at your college, then there would be a 4.95990281% chance that the sample mean for these 13 women would be less than 1698.
7. Interpret the level of significance in the context of the study.
   • If the population mean calorie intake for women at your college is less than 1770 and if you survey another 13 women at your college, then there would be a 5% chance that we would end up falsely concuding that the population mean calorie intake for women at your college is equal to 1770.
   • There is a 5% chance that the women at your college are just eating too many desserts and will all gain the freshmen 15.
   • There is a 5% chance that the population mean calorie intake for women at your college is less than 1770.
   • If the population mean calorie intake for women at your college is 1770 and if you survey another 13 women at your college, then there would be a 5% chance that we would end up falsely concuding that the population mean calorie intake for women at your college is less than 1770.
   •