9.2 10.1 10.2marble mass in class sample to capture pop mean

	A	B	C	D	E	F	G	H
1		Student number	Marble masses (population)	Random selector		Chapter 9.2	0800 five marbles	0900 marble masses

2	fall 2019 0800	1	5.2	15		m1	5.7	5.2
3		2	4.9	1		m2	5.6	5.4
4		3	5.7	4		m3	5.6	5.6
5		4	6	2		m4	5.2	4.7
6		5	5.5	1		m5		5.5
7		6	4.5
8		7	5.6		Population parameters	population size N	27	27
9		8	5.2	6		actual population mean mass of a marble μ	5.23	5.23
10		9	5	12		population standard deviation σ	0.3527668415	0.3527668415
11		10	6	5		population standard error of the mean	0.0678900103	0.0678900103
12		11	5.1	9
13		12	5.5	2	Sample statistics and 9.2 confidence interval	sample size n	4	5
14	fall 2019 0900	1	5.7			sample mean x̅	5.525	5.28
15		2	5.5			sample standard deviation sx	0.2217355783	0.3563705936
16		3	5			point estimate for the population mean	5.525	5.28
17		4	4.8			standard error of the mean	0.1108677891	0.1593737745
18		5	5.6			t-critical for 95%	3.182446305	2.776445105
19		6	5.1			lower bound for the population mean	5.172169214	4.84
20		7	5			upper bound for the population mean	5.877830786	5.72
21		8	5.3
22		9	4.7		Chapter 10.1 CI test	There is a 95% probability that the population is between:	p(5.17 ≤ μ ≤ 5.88)=0.95	p(4.84 ≤ μ ≤ 5.72)=0.95
23		10	4.9			Actual population mean:	5.23	5.233333333
24		11	4.9			Does the confidence interval include the population mean?	yes	yes
25		12	5.4
26		13	5.5		Chapter 10.2 hypothesis testing	Chapter 10.2
27		14	5			H₀: μ = 5.23
28		15	5			H₁: μ ≠ 5.23
29		16				t-critical		2.776
30		17				t-statistic		0.293
31		18				absolute value of the \|t-statistic\|		0.293
32		19				Is \|t-statistic\| > t-critical?
33		20				Reject or fail to reject?		Fail to reject null hypothesis
34		21				Sample mean significantly different from μ?		no
35		22				Could the μ for this sample be 5.23?		yes
36
37						p-value		0.7842269054
38
39							0800 Flight distance	0900 Flight distance
40							5	5
41						Sample lower bound for the pop mean	Marble masses (population)	Marble masses (population)
42						Pop mean	Marble masses (population)	Marble masses (population)
43						Pop mean	6	6
44						Sample upper bound for the pop mean
45
46
47						Chapter 11.2 Independent samples analysis: Did the sections produce different sample means?	0800 Flight distance	0900 Flight distance
48							5	5
49						Sample lower bound for the pop mean	5.525	5.28
50						Sample mean	5.525	5.28
51						Sample mean	6	6
52						Sample upper bound for the pop mean
53							#DIV/0!
54						T-TEST for a difference of sample means: p-value
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