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Chapter 6 Assignment (20pts) Engvall's Commuting Times-Spring 2016 1. The first two columns in the table below represent the Professor Engvall's commuting times during 30 random days in Spring 2016 semester. (Column #1 -day; Column #2 - time in minutes). 2. Use the data in these two columns to complete the tables for 10 random samples with five items. (Data item # corresponds to the day # in column 1) 3. Calculate the mean of each one of these 10 samples. 4. Transfer the means of the samples in the Sample Mean table. 5. Calculate the mean of the sample means. 6. Compare the mean of the population with the mean of the sample means. 7. Based on your results in (6) state a conclusion. (Your results confirm or not the Central Limit Theorem about the mean of the sample means)Engvall's Commuting Times-Spring 2016 Sample 1 Sample 2 Sample 3 Sample 4 Commute Data Data Data Data Item Time in Item Item Item Item Number minutes Number Minutes Number Minutes Number Minutes Number Minutes 1 60 19 9 14 25 2 62 27 25 28 27 3 72 26 19 8 4 68 14 15 11 22 5 62 14 13 14 15 6 67 Mean: Mean: Mean: Mean: 7 59 Sample 5 Sample 6 Sample 7 Sample 8 Data Data Data at 8 59 Item Item Item Item Number Minutes Number Minutes Number Minutes Number Minutes 9 64 7 5 1 15 10 59 19 20 28 11 61 19 1 13 3 12 61 25 18 8 11 13 60 24 9 22 20 14 59 Mean: Mean: Mean: Mean: 15 62 Sample 9 Sample 10 Data Data 16 59 Item Item Sample Number Minutes Number Minutes Sample Means 17 60 8 25 18 61 4 3 2 19 64 22 15 3 20 65 7 3 4 21 65 18 13 5 22 65 Mean: Mean: 6 23 68 7 24 62 8 25 62 9 26 61 10 60 Mean of the Sample 27 Means: 28 60 29 60 30 58 Sum of 1865 Times: Population Mean: 62.17 Focus MacBook Air 588 DII DD