a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v| Select an answer H: ?vSelect an answer v c. The test statistic ? v (please show your answer to 3 decimal places.)
a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v| Select an answer H: ?vSelect an answer v c. The test statistic ? v (please show your answer to 3 decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Here is the transcription of the educational content from the image:
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**The mean number of eggs per person eaten in the United States is 241. Do college students eat a different number of eggs than the average American? The 63 college students surveyed averaged 230 eggs per person and their standard deviation was 58.1. What can be concluded at the \( \alpha = 0.01 \) level of significance?**
a. For this study, we should use [Select an answer]
b. The null and alternative hypotheses would be:
\[
H_0: \quad ? \quad \text{(Select an answer)} \quad \_\_\_\_
\]
\[
H_1: \quad ? \quad \text{(Select an answer)} \quad \_\_\_\_
\]
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 \( ? \leq \alpha \)
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 is not significantly different from 241 at \( \alpha = 0.01 \), so there is statistically insignificant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 241.
- [ ] The data suggest that the sample mean is not significantly different from 241 at \( \alpha = 0.01 \), so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is different from 230.
- [ ] The data suggest that the population mean is significantly different from 241 at \( \alpha = 0.01 \), so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 241.
h. Interpret the p-value in the context of the study.
- [ ] If the population mean number of eggs consumed by college students per year is 241 and if another 63 college students are surveyed, then there would be a 13.79801324% chance that the population mean would either be less than 230 or greater than 252.
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Transcribed Image Text:Here is the transcription of the educational content from the image:
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**The mean number of eggs per person eaten in the United States is 241. Do college students eat a different number of eggs than the average American? The 63 college students surveyed averaged 230 eggs per person and their standard deviation was 58.1. What can be concluded at the \( \alpha = 0.01 \) level of significance?**
a. For this study, we should use [Select an answer]
b. The null and alternative hypotheses would be:
\[
H_0: \quad ? \quad \text{(Select an answer)} \quad \_\_\_\_
\]
\[
H_1: \quad ? \quad \text{(Select an answer)} \quad \_\_\_\_
\]
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 \( ? \leq \alpha \)
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 is not significantly different from 241 at \( \alpha = 0.01 \), so there is statistically insignificant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 241.
- [ ] The data suggest that the sample mean is not significantly different from 241 at \( \alpha = 0.01 \), so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is different from 230.
- [ ] The data suggest that the population mean is significantly different from 241 at \( \alpha = 0.01 \), so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 241.
h. Interpret the p-value in the context of the study.
- [ ] If the population mean number of eggs consumed by college students per year is 241 and if another 63 college students are surveyed, then there would be a 13.79801324% chance that the population mean would either be less than 230 or greater than 252.
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