Women are recommended to consume 1840 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 11 women who participated in the study is shown below:

1682, 2147, 2137, 1974, 1681, 2061, 1904, 1671, 1713, 1948, 1912

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

a. For this study, we should use Select an answer (z-test for a population proportion or t-test for a population mean) ?

b. The null and alternative hypotheses would be:

H0: select (?, ,p) Select an answer......select ( , <, >, =)

H1: select (?, ,p) Select an answer( =, , <, >)

c. The test statistic select (?, z, t) = ................. (please show your answer to 3 decimal places.)

d. The p-value = .................. (Please show your answer to 4 decimal places.)

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e. The p-value is (?, >, ).........

f. Based on this, we should Select an answer( accept, fail to reject, reject) the null hypothesis.

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

• The data suggest the populaton mean is significantly different from 1840 at = 0.05, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is different from 1840.
• The data suggest the population mean is not significantly different from 1840 at = 0.05, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is equal to 1840.
• The data suggest that the population mean calorie intake for women at your college is not significantly different from 1840 at = 0.05, so there is insufficient evidence to conclude that the population mean calorie intake for women at your college is different from 1840.
• h. Interpret the p-value in the context of the study.
• If the population mean calorie intake for women at your college is 1840 and if you survey another 11 women at your college then there would be a 35.2968271% chance that the population mean would either be less than 1786 or greater than 1894.
• There is a 35.2968271% chance of a Type I error.
• There is a 35.2968271% chance that the population mean calorie intake for women at your college is not equal to 1840.
• If the population mean calorie intake for women at your college is 1840 and if you survey another 11 women at your college, then there would be a 35.2968271% chance that the sample mean for these 11 women would either be less than 1786 or greater than 1894.

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

. There is a 5% 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 different from 1840 and if you survey another 11 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 1840.

. If the population mean calorie intake for women at your college is 1840 and if you survey another 11 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 different from 1840.

. There is a 5% chance that the population mean calorie intake for women at your college is different from 1840.