4. Suppose you have a sample of 5 people where X represents cookie consumption in the past week. the following X: (6, 5, 4, 1, 1). What is the mean of X? What is the Standard deviation of X? What is the Standard Error of X? Calculate the 95% confidence interval for X. Calculate the 99% confidence interval for X. Interpret your findings.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**All calculations should be shown by hand**
**Sample Analysis of Cookie Consumption**

Suppose you have a sample of 5 people where X represents cookie consumption in the past week. The following X: (6, 5, 4, 1, 1). 

1. **Mean of X**: Calculate the average cookie consumption.
2. **Standard Deviation of X**: Determine the variability in cookie consumption.
3. **Standard Error of X**: Estimate the sampling distribution's standard deviation.
4. **95% Confidence Interval for X**: Calculate the range within which the true mean likely falls with 95% certainty.
5. **99% Confidence Interval for X**: Determine the range for a higher certainty level of 99%.

Interpret your findings to understand the data's implications regarding cookie consumption patterns.
Transcribed Image Text:**Sample Analysis of Cookie Consumption** Suppose you have a sample of 5 people where X represents cookie consumption in the past week. The following X: (6, 5, 4, 1, 1). 1. **Mean of X**: Calculate the average cookie consumption. 2. **Standard Deviation of X**: Determine the variability in cookie consumption. 3. **Standard Error of X**: Estimate the sampling distribution's standard deviation. 4. **95% Confidence Interval for X**: Calculate the range within which the true mean likely falls with 95% certainty. 5. **99% Confidence Interval for X**: Determine the range for a higher certainty level of 99%. Interpret your findings to understand the data's implications regarding cookie consumption patterns.
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