Question

Sample 1	Sample 2	Sample 3	Sample 4
11.55	11.62	11.91	12.02
11.62	11.69	11.36	12.02
11.52	11.59	11.75	12.05
11.75	11.82	11.95	12.18
11.90	11.97	12.14	12.11
11.64	11.71	11.72	12.07
11.80	11.87	11.61	12.05
12.03	12.10	11.85	11.64
11.94	12.01	12.16	12.39
11.92	11.99	11.91	11.65
12.13	12.20	12.12	12.11
12.09	12.16	11.61	11.90
11.93	12.00	12.21	12.22
12.21	12.28	11.56	11.88
12.32	12.39	11.95	12.03
11.93	12.00	12.01	12.35
11.85	11.92	12.06	12.09
11.76	11.83	11.76	11.77
12.16	12.23	11.82	12.20
11.77	11.84	12.12	11.79
12.00	12.07	11.60	12.30
12.04	12.11	11.95	12.27
11.98	12.05	11.96	12.29
12.30	12.37	12.22	12.47
12.18	12.25	11.75	12.03
11.97	12.04	11.96	12.17
12.17	12.24	11.95	11.94
11.85	11.92	11.89	11.97
12.30	12.37	11.99	12.23
12.15	12.22	11.93	12.25

Compute the standard deviation of each sample:

Sample 1:    (Round to 4 decimal places)

Sample 2: (Round to 4 decimal places)

Sample 3: (Round to 4 decimal places)

Sample 4:   (Round to 4 decimal places)

Run the appropriate hypothesis test using StatCrunch and record the test-statistics (z or t) for each of the samples.

Sample 1:    (Round to 4 decimal places)

Sample 2:    (Round to 4 decimal places)

Sample 3: (Round to 4 decimal places)

Sample 4:   (Round to 4 decimal places)

Answer 1

Standard Deviation for Sample1 =0.216652

Standard Deviation for Sample2=0.216652

Standard Deviation for Sample3=0.204482

Standard Deviation for Sample4=0.202645

0.216652

0.216652

0.204482

0.202645

t-Test: Two-Sample Assuming Equal Variances
	Sample1	Sample 2
Mean	11.95866667	12.02866667
Variance	0.048556782	0.048556782
Observations	30	30
Pooled Variance	0.048556782
Hypothesized Mean Difference	0
df	58
t Stat	-1.23032181
P(T<=t) one-tail	0.111771669
t Critical one-tail	1.671552763
P(T<=t) two-tail	0.223543337
t Critical two-tail	2.001717468

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Sample 1	30	358.76	11.95867	0.048557
Sample 2	30	360.86	12.02867	0.048557
Sample 3	30	356.78	11.89267	0.043255
Sample 4	30	362.44	12.08133	0.042481
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	0.60876	3	0.20292	4.439068	0.005432	2.682809
Within Groups	5.302627	116	0.045712
Total	5.911387	119