$3\mathrm{.}1.$ Data Collection Phase

Student groups, comprising $5-7$ members, collect two random samples of bottled water from two different companies.

Each sample should consist of more than $40$ observations.

Students use calibrated weight scales to measure and record the weight of each bottle.

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Document the data collection process by capturing a complete video for random bottle selection and weight measurement.

$3\mathrm{.}2.$ Numerical Summaries Phase

Compute primary numerical summaries for each sample, including measures of central tendency $($mean$,$ median, mode$)$ and measures of variability $($variance$,$ standard deviation, range, IQR$)$ using Minitab ${?}^{}.$

Summarize results in a comparative table, with interpretation of the numerical findings.

$3\mathrm{.}3$ Graphical Representation Phase

Construct graphical displays for the collected samples, including stem$-$and$-$leaf displays, frequency distributions, histograms, and comparative box plots using Minitab$.$

Interpret and analyze graphical representations and identify and discuss the differences between the two samples from the two companies.

$3\mathrm{.}4$ Statistical Analysis

Estimate the confidence interval on the mean weight of bottles from each company.

Test the hypothesis that the mean weight of bottles is equal to the claimed weight $($considering the claimed volume$).$

$3\mathrm{.}5$ Report Preparation and Submission Phase

Prepare an activity report according to the provided template, documenting methodology, results, and conclusions. A proposed report structure will be shared with you later.

Submit the Activity Report, Minitab File, Excel File, Documentation Videos & Photos of Data Collection by the specified deadline.