Question

A popular soft drink company has made headlines in recent months after the relaunch of one of

their iconic brands. They claim that it has been reformulated and now has less than 11 grams
of sugar per 355ml can. Sales have soared and consumer feedback about the taste has been
exceptional. However, the process they use to reduce the sugar has recently been criticized by
a health advocate group as being relatively ineffective. Furthermore, the same health advocate
group has suggested that the actual sugar content advertised as 11g/355ml can is not true, and
is probably much higher.
You have been hired as an independent party to test their suspected claim that the amount of
sugar per 355ml can exceeds 11g. They have provided you with the resources to randomly
sample 50 cans from various vendors and test each can for the amount of sugar content.
The data in the table (see appendix) gives the sugar content in grams for the random sample of
the fifty 355ml cans.
1. Describe and organize your data and present all findings of a descriptive nature
2. Using an appropriate level of significance, conduct a formal hypothesis test to
determine whether the manufacturer’s claims are valid
3. Make a recommendation based on your findings
Note: Please attach relevant calculations for any statistics generated by statistical software in
your report.

Answer 1

To describe and organize the data, create a frequency distribution table and calculate measures of central tendency and dispersion. Conduct a one-sample t-test to test the manufacturer's claim. Make a recommendation based on the hypothesis test results.

Step-by-step explanation:

To describe and organize the data, you can create a frequency distribution table showing the number of cans with specific sugar content ranges (e.g. 0-5g, 5-10g, etc.). Additionally, you can calculate the measures of central tendency (mean, median, and mode) and measures of dispersion (range, variance, and standard deviation) for the given data. Present all findings in an organized manner.

To conduct a hypothesis test, you can use a one-sample t-test to determine if the mean sugar content of the cans is significantly different from the claimed 11g. Set up your null hypothesis as the mean sugar content equal to 11g and the alternative hypothesis as the mean sugar content not equal to 11g. Calculate the t-value and p-value, and compare the p-value to the chosen significance level to draw a conclusion about the claim.

Based on the findings from the hypothesis test, you can make a recommendation to either support or reject the manufacturer's claim about the sugar content. Consider the level of significance, the magnitude of the p-value, and the practical implications of the results to make an informed recommendation.