Chapter 6 Assignment (20pts)

Engvall's Commuting Times-Fall 2019 The first two columns in the table below represent the Professor Engvall's commuting times during 30 random days in Fall 2019 semester. (Column #1 -day; Column #2 - time in minutes). 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, time is the corresponding time from column 2) Calculate the mean time of each one of these 10 samples. Transfer the means of the samples in the Sample Mean table. Calculate the mean of the sample means. Compare the mean of the population with the mean of the sample means. 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-Fall2019
		Sample 1	Sample 2	Sample 3	Sample 4
Item Number	Commute Time in minutes	Data Item Number	Minutes	Data Item Number	Minutes	Data Item Number	Minutes	Data Item Number	Minutes
1	63	18		9		14		25
2	61	27		25		27		27
3	61	4		25		19		8
4	71	14		15		11		22
5	67	14		13		14		15
6	74	Mean:		Mean:		Mean:		Mean:
7	82	Sample 5	Sample 6	Sample 7	Sample 8
8	65	Data Item Number	Minutes	Data Item Number	Minutes	Data Item Number	Minutes	Data Item Number	Minutes
9	62	7		5		1		15
10	67	19		24		28		7
11	66	19		1		13		3
12	61	25		18		8		11
13	74	24		9		22		20
14	64	Mean:		Mean:		Mean:		Mean:
15	61	Sample 9	Sample 10
16	67	Data Item Number	Minutes	Data Item Number	Minutes		Sample	Sample Means
17	60	8		25			1
18	65	4		3			2
19	71	22		15			3
20	71	6		3			4
21	65	18		13			5
22	60	Mean:		Mean:			6
23	68						7
24	63						8
25	60						9
26	63						10
27	63				Mean of the Sample Means:
28	71
29	64
30	68
31	62
Sum of Times:	2040
Mean of the times:	65.81