Women are recommended to consume 1870 calories per day. You suspect that the average calorie intake is smaller for women at your college. The data for the 11 women who participated in the study is shown below:

1680, 1833, 2035, 1965, 1879, 1971, 1706, 1868, 1917, 1816, 1721

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

1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
2. The null and alternative hypotheses would be:

H0:H0: ? p Select an answer > < =

H1:H1: ? p Select an answer > = <

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 ? >
4. Based on this, we should Select an answer accept reject fail to reject the null hypothesis.
5. Thus, the final conclusion is that ...
6. Interpret the p-value in the context of the study.
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 less than 1870 and if you survey another 11 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 1870.
   • If the population mean calorie intake for women at your college is 1870 and if you survey another 11 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 less than 1870.
   • There is a 10% chance that the population mean calorie intake for women at your college is less than 1870.

• There is a 32.63041473% chance that the population mean calorie intake for women at your college is less than 1870.
• If the population mean calorie intake for women at your college is 1870 and if you survey another 11 women at your college, then there would be a 32.63041473% chance that the sample mean for these 11 women would be less than 1854.
• There is a 32.63041473% chance of a Type I error.
• If the population mean calorie intake for women at your college is 1870 and if you survey another 11 women at your college, then there would be a 32.63041473% chance that the population mean calorie intake for women at your college would be less than 1870.

• The data suggest the population mean is not significantly less than 1870 at = 0.10, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is equal to 1870.
• The data suggest that the population mean calorie intake for women at your college is not significantly less than 1870 at = 0.10, so there is insufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1870.
• The data suggest the populaton mean is significantly less than 1870 at = 0.10, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1870.