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Analyse: Choose one valid method to evaluate how normal your population data is for both the selected data sets.

• Calculate the mean and standard deviation of the population data.
• Calculate the mean and standard deviation of an SRS of size n=8.
• Explain how you ensured that the samples were SRS.
• Determine a 90% confidence interval for the sample data when is known.
• State and test appropriate hypotheses for evaluating the squareness of the origami paper at a 1% level of significance when is unknown for an SRS of size n=8.

Data:

Paper 1 Paper 2 Paper 3 Paper 4 Diagonal 247mm Diagonal 247.5mm Diagonal 247mm Diagonal 247.5mm Side 1 - 175mm Side 1 - 175.5mm Side 1 - 175.5mm Side 1 - 175.5mm Side 2 - 175mm Side 2 - 176mm Side 2 - 175mm Side 2 - 176mm Side 3 - 175.5mm Side 3 - 175.5mm Side 3 - 175.5mm Side 3 - 175.5mm Side 4 - 175.5 mm Side 4 - 176 mm Side 4 - 175.5 mm Side 4 - 176 mm Diagonal 247.5mm Diagonal 247.3mm Diagonal 247.5.mm Diagonal 249mm Data Side 1 - 175mm Side 1 - 175 Side 1 - 175 Side 1 - 175 Side 2 - 175mm Side 2 - 175.8 Side 2 - 175.2 Side 2 - 176 Side 3 - 175mm Side 3 - 174.5 Side 3 - 175 Side 3 - 176.8 Side 4 - 175 mm Side 4 - 175 Side 4 - 175 Side 4 - 177 Diagonal 247.5mm Diagonal 248.9mm Diagonal 248.9mm Diagonal 247.5mm Side 1 - 175 Side 1 - 174 Side 1 - 175 Side 1 - 175 Side 2 - 175 Side 2 - 174 Side 2 - 175 Side 2 - 175 Side 3 - 175 Side 3 - 175 Side 3 - 176 Side 3 - 175 Side 4 - 175 Side 4 - 176 Side 4 - 176 Side 4 - 175