Women are recommended to consume 1900 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 12 women who participated in the study is shown below: 1759, 2086, 1727, 2003, 1859, 2160, 2098, 1954, 1848, 2110, 1862, 2174 Assuming that the distribution is normal, what can be concluded at the a= 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁: ? Select an answer c. The test statistic ? ✔ (please show your answer to 3 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
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Women are recommended to consume 1900 calories per day. You suspect that the average calorie intake is
different for women at your college. The data for the 12 women who participated in the study is shown
below:
1759, 2086, 1727, 2003, 1859, 2160, 2098, 1954, 1848, 2110, 1862, 2174
Assuming that the distribution is normal, what can be concluded at the a = 0.01 level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ?
Select an answer
H₁? Select an answer
c. The test statistic ?✔ =
d. The p-value =
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 ...
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
O The data suggest that the population mean calorie intake for women at your college is not
significantly different from 1900 at a = 0.01, so there is insufficient evidence to conclude that
the population mean calorie intake for women at your college is different from 1900.
The data suggest the population mean is not significantly different from 1900 at a = 0.01, so
there is sufficient evidence to conclude that the population mean calorie intake for women at
your college is equal to 1900.
O The data suggest the populaton mean is significantly different from 1900 at a = 0.01, so there
is sufficient evidence to conclude that the population mean calorie intake for women at your
college is different from 1900.
h. Interpret the p-value in the context of the study.
O If the population mean calorie intake for women at your college is 1900 and if you survey
another 12 women at your college, then there would be a 15.05963854% chance that the
sample mean for these 12 women would either be less than 1830 or greater than 1970.
O If the population mean calorie intake for women at your college is 1900 and if you survey
another 12 women at your college then there would be a 15.05963854% chance that the
population mean would either be less than 1830 or greater than 1970.
There is a 15.05963854% chance of a Type I error.
There is a 15.05963854% chance that the population mean calorie intake for women at your
college is not equal to 1900.
i. Interpret the level of significance in the context of the study.
O There is a 1% chance that the women at your college are just eating too many desserts and will
all gain the freshmen 15.
O If the population mean calorie intake for women at your college is 1900 and if you survey
another 12 women at your college, then there would be a 1% chance that we would end up
falsely concuding that the population mean calorie intake for women at your college is
different from 1900.
There is a 1% chance that the population mean calorie intake for women at your college is
different from 1900.
O If the population mean calorie intake for women at your college is different from 1900 and if
you survey another 12 women at your college, then there would be a 1% chance that we would
end up falsely concuding that the population mean calorie intake for women at your college is
equal to 1900.
Transcribed Image Text:Women are recommended to consume 1900 calories per day. You suspect that the average calorie intake is different for women at your college. The data for the 12 women who participated in the study is shown below: 1759, 2086, 1727, 2003, 1859, 2160, 2098, 1954, 1848, 2110, 1862, 2174 Assuming that the distribution is normal, what can be concluded at the a = 0.01 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer H₁? Select an answer c. The test statistic ?✔ = d. The p-value = 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 ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) O The data suggest that the population mean calorie intake for women at your college is not significantly different from 1900 at a = 0.01, so there is insufficient evidence to conclude that the population mean calorie intake for women at your college is different from 1900. The data suggest the population mean is not significantly different from 1900 at a = 0.01, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is equal to 1900. O The data suggest the populaton mean is significantly different from 1900 at a = 0.01, so there is sufficient evidence to conclude that the population mean calorie intake for women at your college is different from 1900. h. Interpret the p-value in the context of the study. O If the population mean calorie intake for women at your college is 1900 and if you survey another 12 women at your college, then there would be a 15.05963854% chance that the sample mean for these 12 women would either be less than 1830 or greater than 1970. O If the population mean calorie intake for women at your college is 1900 and if you survey another 12 women at your college then there would be a 15.05963854% chance that the population mean would either be less than 1830 or greater than 1970. There is a 15.05963854% chance of a Type I error. There is a 15.05963854% chance that the population mean calorie intake for women at your college is not equal to 1900. i. Interpret the level of significance in the context of the study. O There is a 1% chance that the women at your college are just eating too many desserts and will all gain the freshmen 15. O If the population mean calorie intake for women at your college is 1900 and if you survey another 12 women at your college, then there would be a 1% chance that we would end up falsely concuding that the population mean calorie intake for women at your college is different from 1900. There is a 1% chance that the population mean calorie intake for women at your college is different from 1900. O If the population mean calorie intake for women at your college is different from 1900 and if you survey another 12 women at your college, then there would be a 1% chance that we would end up falsely concuding that the population mean calorie intake for women at your college is equal to 1900.
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