Assignmnet-1_Group-3

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Feb 20, 2024

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Student Name: Kevin Sangani 8806872 Devarsh Shah 8864029 Priyanshu Patel 8863801 Jeet Sindhava 8845650 Pranav Tejani 8815784 Harsh Patel 8798975 Dhruv Patel 2172880 Assignment: Group Assignment-1 Course Name: Advanced Design of Experiments Course Instructor Prof. Khaled Alramahi Due Date Assigned: 20 Jan, 2022
Executive summary By performing a coin spinning experiment, we seek to evaluate the impact of a number of factors on the result with the use of one-way ANOVA in Minitab for specific findings. Practical Problem This task includes assessing whether or not the coin spinning times of the five different persons varied because they utilized the same procedure but a different method to spin the coin. DP HP PT JS PP 12.46 9.12 9.30 10.50 10.13 7.53 8.64 7.70 9.55 13.20 5.42 4.50 6.92 7.50 9.80 2.45 5.55 8.88 6.75 14.82 8.20 9.75 7.89 1.12 12.45 Null Hypothesis The null hypothesis states that everyone has the same mean spin time. When determining the P value, It is less than the significance level of 0.05, indicating that we have sufficient evidence to reject the null hypothesis. Alternate Hypothesis If the null hypothesis is rejected, the alternate hypothesis is confirmed, which explains why certain team members have different means for spinning time.
One-Way ANOVA Analysis The P-value of 0.004 is smaller than the standard 0.05, indicating a significant difference. As a result, we may reject the null hypothesis and agree that there is a difference in spinning time and skill across participants. Tukey Comparison
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