A popular soft drink company has made headlines after the relaunch of one of their iconic brands. They claim it has been reformulated to contain less than 11 grams of sugar per 355ml can. Sales have soared, and consumer feedback about the taste has been exceptional. However, the process used to reduce sugar has been criticized by a health advocacy group as being ineffective. Furthermore, this group suggests that the actual sugar content, advertised as 11g per 355ml can, is likely much higher.

You have been hired as an independent party to test the claim that the sugar content per 355ml can exceeds 11g. You have resources to randomly sample 50 cans from various vendors and test each for sugar content. The data in the table (see appendix) provides the sugar content in grams for the random sample of fifty 355ml cans.

Tasks:
1. Describe, organize, and present your data 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.

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.

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.