Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

t-test, or t-test. All the should be data. SETUP: It is believed that the larger

ID: 2906622 • Letter: T

Question

t-test, or t-test. All the should be data. SETUP: It is believed that the larger the head circumference the larger the brain volume should be. Given the data your job is to confirm or disprove this assertion. 1. What test/procedure did you perform? Ob. Two-sided t-test Oc. Regression 2. What is the P-value/margin of error? a. 9.30595E-20 Ob. 0.304733709 Oc. 0.022233887 Od. 1.86119E-19 Oe. None of these 3. Statistical interpretation O a. Since P-value is very small we are confident that the average of the first sample is smaller than the other Ob. Since P-value is very small we are very confident that the averages are different. Oc. Since P-value is very small we are confident that the slope of Od. None of these. line is not zero. 4. Conclusion a. Yes, I am confident that the above assertion is correct. Ob. No, we cannot claim that the above assertion is correct.

Explanation / Answer

Result:

1.) c). Regression

2). P value

c). 0.0222338

3).

c). since p value is very small we are confident that the slope of regression line is not zero.

4).

a.) yes, I am confident that the above assertion is correct.

Regression Analysis

0.258

n

20

r

0.508

k

1

Std. Error

110.572

Dep. Var.

Volume

ANOVA table

Source

SS

df

MS

F

p-value

Regression

76,512.1003

1  

76,512.1003

6.26

.0222

Residual

220,072.8497

18  

12,226.2694

Total

296,584.9500

19  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=18)

p-value

95% lower

95% upper

Intercept

-823.8288

779.8044

-1.056

.3047

-2,462.1371

814.4794

circumference

34.7399

13.8871

2.502

.0222

5.5643

63.9156

Regression Analysis

0.258

n

20

r

0.508

k

1

Std. Error

110.572

Dep. Var.

Volume

ANOVA table

Source

SS

df

MS

F

p-value

Regression

76,512.1003

1  

76,512.1003

6.26

.0222

Residual

220,072.8497

18  

12,226.2694

Total

296,584.9500

19  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=18)

p-value

95% lower

95% upper

Intercept

-823.8288

779.8044

-1.056

.3047

-2,462.1371

814.4794

circumference

34.7399

13.8871

2.502

.0222

5.5643

63.9156