Question

women are recommended to consume 170 calories per day. You suspect that the average calorie make is smaller ior women at your college. The data for the 13 women who participated in the study is shown below: 1448, 1697, 1897, 1567, 1622, 1635, 1515, 1490, 1789, 1660, 1790, 1835, 1770 Assuming that the distribution is normal, what can be concluded at the a=0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? H: ? ? c. The test statistic ? = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest that the population mean calorie intake for women at your college is not significantly less than 1750 at a 0.10, so there is insufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1750. The data suggest the populaton mean is significantly less than 1750 at a 0.10, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is less than 1750. The data suggest the population mean is not significantly less than 1750 at a 0.10, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is equal to 1750. h. Interpret the p-value in the context of the study. There is a 3.20880829% chance of a Type I error. If the population mean calorie intake for women at your college is 1750 and if you survey another 13 women at your college, then there would be a 3.20880829% chance that the sample mean for these 13 women would be less than 1670. If the population mean calorie intake for women at your college is 1750 and if you survey another 13 women at your college, then there would be a 3.20880829% chance that the population mean calorie intake for women at your college would be less than 1750. There is a 3,20880829% chance that the population mean calorie intake for women at vour college is less LA

it says 1750 calories a day

Answer 1

1448 1697 1897 1567 1622 1635 1515 1490 1789 1660 1790 1835 1770 1670.385 140.8276 MEAN SD

a) For this we should use ONE SAMPLE t test.

b) H0: calories

u= 1750

HA:

μ< 1750

c) t test statistic.

| +- X - 0 - 1670.385 - 1750 5 = -2.038 s/n 140.8276361/13

e) The p-value is p = 0.0321

f)Since p=0.0321<0.1, it is concluded that the null hypothesis is rejected.

g) It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the population mean μ is less than 1750, at the 0.1 significance level. OPTION B

h OPTION D