The provided data is sufficient or not to support the percentage reported by Mars, incorporated.
Answer to Problem 14.13E
Yes, provided data can substantiate to support the percentage reported by Mars, incorporated.
Given:
Disease | Brown | Yellow | Red | Blue | Orange | Green |
Deaths |
|
Formula Used:
The degrees of freedom are expressed as:
The observed value is expressed as:
Calculation:
Consider:
Probability of M&M’s containing brown candies
Probability of M&M’s containing yellow candies
Probability of M&M’s containing red candies
Probability of M&M’s containing blue candies
Probability of M&M’s containing orange candies
Probability of M&M’s containing green candies
The null hypothesis
The alternative hypothesis
Total number count:
The expected count is calculated as:
For
For
For
For
For
For
Now, the observed value is calculated as:
Calculate the degrees of freedom:
Therefore, the value of degrees of freedom is
Need to estimate the a chi-square test statistics of
The test statistics value lies between
Here,
Therefore, the
That means:
Here the
So, one can conclude that the given data can substantiate for the percentages reported by Mars, incorporated.
Conclusion:
Therefore, given data can substantiate for the percentages reported by Mars, incorporated.
Explanation of Solution
Given:
Disease | Brown | Yellow | Red | Blue | Orange | Green |
Deaths |
|
Formula Used:
The degrees of freedom are expressed as:
The observed value is expressed as:
Calculation:
Consider:
Probability of M&M’s containing brown candies
Probability of M&M’s containing yellow candies
Probability of M&M’s containing red candies
Probability of M&M’s containing blue candies
Probability of M&M’s containing orange candies
Probability of M&M’s containing green candies
The null hypothesis
The alternative hypothesis
Total number count:
The expected count is calculated as:
For
For
For
For
For
For
Now, the observed value is calculated as:
Calculate the degrees of freedom:
Therefore, the value of degrees of freedom is
Need to estimate the a chi-square test statistics of
The test statistics value lies between
Here,
Therefore, the
That means:
Here the
So, one can conclude that the given data can substantiate for the percentages reported by Mars, incorporated.
Conclusion:
Therefore, given data can substantiate for the percentages reported by Mars, incorporated.
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Chapter 14 Solutions
EBK INTRODUCTION TO PROBABILITY AND STA
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