Researchers examined the candy bar consumption of college undergraduates and found that males ate candy bars significantly more often than females. Assume that the overall level of consumption for college male undergraduates averages u 35 ounces of candy bars per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation of o = 15. To investigate this phenomenon, a researcher selects a random sample of n = 9 females and finds they ate an average of 21 ounces per month. Did this sample of females eat significantly fewer ounces of candy bars than their male counterparts Is this result significant? Use alpha = 0.01 two-tailed.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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### Candy Bar Consumption Study Among College Undergraduates

Researchers examined the candy bar consumption of college undergraduates and found that males ate candy bars significantly more often than females. Assume that the overall level of consumption for college **male** undergraduates averages μ = 35 ounces of candy bars per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 15.

To investigate this phenomenon, a researcher selects a random sample of n = 9 females and finds they ate an average of 21 ounces per month.

**Question:** Did this sample of females eat significantly fewer ounces of candy bars than their male counterparts?

**Statistical Significance Test:** 

Use alpha = 0.01 two-tailed.

### Potential Answers:

- **no, p > 0.01 two-tailed**
- **yes, p > 0.01 two-tailed**
- **no, p < 0.01 two-tailed**
- **yes, p < 0.01 two-tailed**

Please select the appropriate option based on your analysis.
Transcribed Image Text:### Candy Bar Consumption Study Among College Undergraduates Researchers examined the candy bar consumption of college undergraduates and found that males ate candy bars significantly more often than females. Assume that the overall level of consumption for college **male** undergraduates averages μ = 35 ounces of candy bars per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation of σ = 15. To investigate this phenomenon, a researcher selects a random sample of n = 9 females and finds they ate an average of 21 ounces per month. **Question:** Did this sample of females eat significantly fewer ounces of candy bars than their male counterparts? **Statistical Significance Test:** Use alpha = 0.01 two-tailed. ### Potential Answers: - **no, p > 0.01 two-tailed** - **yes, p > 0.01 two-tailed** - **no, p < 0.01 two-tailed** - **yes, p < 0.01 two-tailed** Please select the appropriate option based on your analysis.
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