Women are recommended to consume 1780 calories per day. You suspect that the average calorie intake is larger for women at your college. The data for the 13 women who participated in the study is...

Women are recommended to consume 1780 calories per day. You suspect that the average calorie intake is larger for women at your college. The data for the 13 women who participated in the study is shown below:

1788, 1802, 1948, 2013, 1684, 1825, 1763, 1678, 2018, 1898, 1828, 1648, 1640

Assuming that the distribution is normal, what can be concluded at the αα = 0.10 level of significance?

1. For this study, we should use
   (t-test for population mean, z-test for population proportion)
   


2. The null and alternative hypotheses would be:

 H0:
(symbol) (symbol) ____

 H1:
(symbol) (symbol) ____

1. The test statistic
   (?,z,t)
   =  (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
   (?, more than, less than or equal to)
   αα


4. Based on this, we should
   (accept, reject, fail to reject) the null hypothesis.


5. Thus, the final conclusion is that ...
   
   
   

   
   
   • The data suggest the population mean is notsignificantly more than 1780 at αα = 0.10, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is equal to 1780.
   
   
   • The data suggest the populaton mean issignificantly more than 1780 at αα = 0.10, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is more than 1780.
   
   
   • The data suggest that the population mean calorie intake for women at your college is notsignificantly more than 1780 at αα = 0.10, so there is insufficient evidence to conclude that the population mean calorie intake for women at your college is more than 1780.
   
   

   
   
   
   


6. Interpret the p-value in the context of the study.
   
   
   

   
   
   • If the population mean calorie intake for women at your college is 1780 and if you survey another 13 women at your college then there would be a 20.92003769% chance that the sample mean for these 13 women would be greater than 1810.
   
   
   • If the population mean calorie intake for women at your college is 1780 and if you survey another 13 women at your college then there would be a 20.92003769% chance that the population mean calorie intake for women at your college would be greater than 1780.
   
   
   • There is a 20.92003769% chance that the population mean calorie intake for women at your college is greater than 1780.
   
   
   •  There is a 20.92003769% chance of a Type I error.
   
   

   
   
   
   


7. Interpret the level of significance in the context of the study.
   
   
   

   
   
   • There is a 10% chance that the women at your college are just eating too many desserts and will all gain the freshmen 15.
   
   
   • If the population mean calorie intake for women at your college is 1780 and if you survey another 13 women at your college, then there would be a 10% chance that we would end up falsely concuding that the population mean calorie intake for women at your college is more than 1780.
   
   
   • If the population mean calorie intake for women at your college is more than 1780 and if you survey another 13 women at your college, then there would be a 10% chance that we would end up falsely concuding that the population mean calorie intake for women at your college is equal to 1780.
   
   
   • There is a 10% chance that the population mean calorie intake for women at your college is more than 1780.