To refresh your memory the equation for calculating the t value that we are goin

Question

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

Explanation / Answer

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

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