Two sample Z hypothesis test:

μ₁ : Mean of var4 (Std. dev. not specified)
μ₂ : Mean of var5 (Std. dev. not specified)
μ₁ - μ₂ : Difference between two means
H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ ≠ 0

Sample statistics:

Sample	n	Mean	Std. dev.
var4	30	7.1476667	3.2874575
var5	30	6.456	2.5922612

Hypothesis test results:

Difference	n1	n2	Sample mean	Std. err.	Z-stat	P-value
μ1 - μ2	30	30	0.69166667	0.76435583	0.90490141	0.3655

Shapiro-Wilk normality test results:

Sample	n	Stat	P-Value
var4	30	0.83464111	0.0003
var5	30	0.8826331	0.0032

Two sample Z hypothesis test:

μ₁ : Mean of Dutchbros Price/ounce (Std. dev. not specified)
μ₂ : Mean of Starbucks Price/ounce (Std. dev. not specified)
μ₁ - μ₂ : Difference between two means
H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ ≠ 0

Hypothesis test results:

Difference	n1	n2	Sample mean	Std. err.	Z-stat	P-value
μ1 - μ2	8	8	-0.17	0.016903085	-10.057336	<0.0001

Two sample Z hypothesis test:

μ₁ : Mean of 21&Under (Std. dev. not specified)
μ₂ : Mean of Over21 (Std. dev. not specified)
μ₁ - μ₂ : Difference between two means
H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ ≠ 0

Hypothesis test results:

Difference	n1	n2	Sample mean	Std. err.	Z-stat	P-value
μ1 - μ2	31	31	4.9032258	3.7350697	1.3127535	0.1893

Two sample Z hypothesis test:

μ₁ : Mean of var1 (Std. dev. not specified)
μ₂ : Mean of var2 (Std. dev. not specified)
μ₁ - μ₂ : Difference between two means
H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ ≠ 0

Sample statistics:

Sample	n	Mean	Std. dev.
var1	31	64.709677	3.2577451
var2	31	65.354839	2.576152

Hypothesis test results:

Difference	n1	n2	Sample mean	Std. err.	Z-stat	P-value
μ1 - μ2	31	31	-0.64516129	0.74594522	-0.86489098	0.3871

Two sample Z confidence interval:

μ₁ : Mean of 1 of 4 2016 (Std. dev. not specified)
μ₂ : Mean of 1 of4 2017 (Std. dev. not specified)
μ₁ - μ₂ : Difference between two means

95% confidence interval results:

Difference	n1	n2	Sample mean	Std. err.	L. limit	U. limit
μ1 - μ2	90	90	0.28888889	2.8231009	-5.2442872	5.822065

Two sample Z hypothesis test:

μ₁ : Mean of 1 of 4 2016 (Std. dev. not specified)
μ₂ : Mean of 1 of4 2017 (Std. dev. not specified)
μ₁ - μ₂ : Difference between two means
H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ ≠ 0

Hypothesis test results:

Difference	n1	n2	Sample mean	Std. err.	Z-stat	P-value
μ1 - μ2	90	90	0.28888889	2.8231009	0.10233034	0.9185

Two sample Z summary hypothesis test:
μ₁ : Mean of population 1 (Std. dev. = 0.731437)
μ₂ : Mean of population 2 (Std. dev. = 0.316228)
μ₁ - μ₂ : Difference between two means
H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ < 0

Hypothesis test results:

Difference	n1	n2	Sample mean	Std. err.	Z-stat	P-value
μ1 - μ2	5	4	-0.8	0.36331812	-2.2019271	0.0138

Two sample Z confidence interval:
μ₁ : Mean of P1 (Std. dev. not specified)
μ₂ : Mean of P2 (Std. dev. not specified)
μ₁ - μ₂ : Difference between two means

90% confidence interval results:

Difference	n1	n2	Sample mean	Std. err.	L. limit	U. limit
μ1 - μ2	2	2	28.5	68.441581	-84.076383	141.07638

Two sample Z hypothesis test:
μ₁ : Mean of var1 (Std. dev. not specified)
μ₂ : Mean of var3 (Std. dev. not specified)
μ₁ - μ₂ : Difference between two means
H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ ≠ 0

Sample statistics:

Sample	n	Mean	Std. dev.
var1	30	453.1	79.358354
var3	30	503.33333	153.87732

Hypothesis test results:

Difference	n1	n2	Sample mean	Std. err.	Z-stat	P-value
μ1 - μ2	30	30	-50.233333	31.610113	-1.5891538	0.112

Two sample Z hypothesis test:
μ₁ : Mean of var1 (Std. dev. = 0.05)
μ₂ : Mean of var2 (Std. dev. = 0.05)
μ₁ - μ₂ : Difference between two means
H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ ≠ 0

Sample statistics:

Sample	n	Mean	Std. dev.	Specified std. dev.
var1	30	453.1	79.358354	0.05
var2	30	419.16667	68.564132	0.05

Hypothesis test results:

Difference	n1	n2	Sample mean	Std. err.	Z-stat	P-value
μ1 - μ2	30	30	33.933333	0.012909944	2628.4647	<0.0001

Two sample Z summary confidence interval:
μ₁ : Mean of population 1 (Std. dev. = 0.05)
μ₂ : Mean of population 2 (Std. dev. = 0.05)
μ₁ - μ₂ : Difference between two means

95% confidence interval results:

Difference	n1	n2	Sample mean	Std. err.	L. limit	U. limit
μ1 - μ2	30	30	33.93333	0.012909944	33.908027	33.958633

Two sample Z summary hypothesis test:
μ₁ : Mean of population 1 (Std. dev. = 1.04)
μ₂ : Mean of population 2 (Std. dev. = 0.5)
μ₁ - μ₂ : Difference between two means
H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ ≠ 0

Hypothesis test results:

Difference	n1	n2	Sample mean	Std. err.	Z-stat	P-value
μ1 - μ2	25	25	3.29	0.23078995	14.255387	<0.0001

Sample Statistics:

Sample	n	Mean	Std. Dev.
Population 1	25	6.7	1.04
Population 2	25	3.41	0.5

Two sample Z hypothesis test:
μ₁ : Mean of Hours Slept (Std. dev. not specified)
μ₂ : Mean of GPA (Std. dev. not specified)
μ₁ - μ₂ : Difference between two means
H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ ≠ 0

Hypothesis test results:

Difference	n1	n2	Sample mean	Std. err.	Z-stat	P-value
μ1 - μ2	25	25	3.08304	0.2407312	12.806982	<0.0001

Two sample Z hypothesis test:
μ₁ : Mean of var1 (Std. dev. = 0.43568501)
μ₂ : Mean of var2 (Std. dev. = 0.54854119)
μ₁ - μ₂ : Difference between two means
H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ ≠ 0

Hypothesis test results:

Difference	n1	n2	Sample mean	Std. err.	Z-stat	P-value
μ1 - μ2	8	13	-0.32596154	0.2165032	-1.5055738	0.1322