To refresh your memory the equation for calculating the t va

To refresh your memory the equation for calculating the t value that we are going to use is:

How many degrees of freedom are there if we were going to calculate the t value from the data set in Question 2?

Individual weights of Acorns (g)

White Oaks in Riverside

White Oaks in Ridgeline

3.063680188

6.242473111

5.063895861

5.888645131

5.503655711

5.319471636

5.909651653

5.558087252

5.597526006

5.949773985

4.542636126

6.172719798

4.601770745

5.419370289

4.789863377

5.620948508

4.148578774

6.265638847

5.001874952

5.554685428

3.973842293

6.021048445

4.332861198

5.75345687

5.379607287

5.886063845

4.254369152

6.172023973

5.414600113

6.681123656

5.00979176

5.444148041

4.257818532

5.51376486

5.069333579

5.592132613

5.495278908

6.225212137

5.233340924

5.172819429

To refresh your memory the equation for calculating the t value that we are going to use is: How many degrees of freedom are there if we were going to calculate the t value from the data set in Question 2? Individual weights of Acorns (g) White Oaks in Riverside White Oaks in Ridgeline 3.063680188 6.242473111 5.063895861 5.888645131 5.503655711 5.319471636 5.909651653 5.558087252 5.597526006 5.949773985 4.542636126 6.172719798 4.601770745 5.419370289 4.789863377 5.620948508 4.148578774 6.265638847 5.001874952 5.554685428 3.973842293 6.021048445 4.332861198 5.75345687 5.379607287 5.886063845 4.254369152 6.172023973 5.414600113 6.681123656 5.00979176 5.444148041 4.257818532 5.51376486 5.069333579 5.592132613 5.495278908 6.225212137 5.233340924 5.172819429

Solution

n1=20

n2=20

df=n1+n2-2 = 20+20-2 =38

Pooled-Variance t Test for the Difference Between Two Means

(assumes equal population variances)

Data

Hypothesized Difference

0

Level of Significance

0.05

Population 1 Sample

Sample Size

20

Sample Mean

4.832198857

Sample Standard Deviation

0.687895804

Population 2 Sample

Sample Size

20

Sample Mean

5.822680393

Sample Standard Deviation

0.390493509

Intermediate Calculations

Population 1 Sample Degrees of Freedom

19

Population 2 Sample Degrees of Freedom

19

Total Degrees of Freedom

38

Pooled Variance

0.3128

Standard Error

0.1769

Difference in Sample Means

-0.9905

t Test Statistic

-5.5999

Two-Tail Test

Lower Critical Value

-2.0244

Upper Critical Value

2.0244

p-Value

0.0000

Reject the null hypothesis

Pooled-Variance t Test for the Difference Between Two Means
(assumes equal population variances)
Data
Hypothesized Difference	0
Level of Significance	0.05
Population 1 Sample
Sample Size	20
Sample Mean	4.832198857
Sample Standard Deviation	0.687895804
Population 2 Sample
Sample Size	20
Sample Mean	5.822680393
Sample Standard Deviation	0.390493509
Intermediate Calculations
Population 1 Sample Degrees of Freedom	19
Population 2 Sample Degrees of Freedom	19
Total Degrees of Freedom	38
Pooled Variance	0.3128
Standard Error	0.1769
Difference in Sample Means	-0.9905
t Test Statistic	-5.5999
Two-Tail Test
Lower Critical Value	-2.0244
Upper Critical Value	2.0244
p-Value	0.0000
Reject the null hypothesis