4. PROCEDURE 4.1 Small Sample Statistics Follow the steps given below to determine the size of wood blocks using a calip

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4. PROCEDURE 4.1 Small Sample Statistics Follow the steps given below to determine the size of wood blocks using a caliper. 1. Randomly take 15 pieces of wooden block with a nominal width of 57.5 mm. 2. Measure the width of block using calipers and record your measurements in Table 2.2. AN 3. Calculate sample arithmetic average, deviation, and standard deviation. Use MS Excel to record the measurements and make the computations. Table 2.2. Width measurements of wood blocks. Width of Block (w) [mm] Deviation (d) Deviation Squared (d) d=x- 58.22mm 52.80 mm 57.75mm 37. Pomo 58,00mm 57.80mm 58.4 mm 58,2mm 58.4 mm 58.10 mm 58122 mm 58.00mm 58.22mm 58,36mm 57.75mm Total Width Σw: Total Deviation Squared Σd: Mean Estimate Standard Deviation W=Σw/N: S = Ed?/(N-1): = 2-8

Please answer the following questions: 1. What is the resolution of calipers? 2. What is degree of freedom of the measurement? 3. Calculate the 95% confidence interval for the true mean (W). Please show all your la work. 4. Calculate the experimental t-statistic. Please show all your work. 2-9

5. Using hypothesis testing, determine whether the sample mean is not equal to the block population's true mean (ww.) with a confidence level of 95%. Please clearly indicate your choice of the null and alternate hypotheses, and show all your work. 6. Get the sample mean and stand deviation from another group. Using hypothesis testing, determine if there is a significant difference between the block widths of the two groups at a confidence level 95% using the t-test comparison.