Question

Human beta endorphin (HBE) is a hormone secreted by the pituitary gland under conditions of stress. An exercise physiologist measured the resting (unstressed) blood concentration of HBE in 3 groups of men: 10 who had just entered a physical fitness program, 13 who had been jogging regularly for some time, and 14 sedentary people.

Group	Fitess Entrants	Joggers	Sedentary
Sample Size	10	13	14
Sample Mean	54.15	41.92	48.01
Sample SD	6.17	6.86	8.4

Compute the value of the grand mean Use at least 3 digits to the right of the decimal.

tried 83585.783

Incorrect.

Compute the treatment sum of squares, SSA.

2830.911 I tried but its

Incorrect.

Compute the error sum of squares, SSE.

I tried

1890.304 but its

Incorrect.

Compute the total sum of squares, SST.

I tried 2830.911 but its

Incorrect.

Calculate the test statistic.

I tried 7.302 its

Incorrect.

Which interval in the table contains the p-value for the test? (Use the table on the course site and confirm your answer with software.)
p-value ≤ 0.001
0.001 < p-value ≤ 0.01
0.01 < p-value ≤ 0.05
0.05 < p-value ≤ 0.1
0.1 < p-value ≤ 0.25
p-value > 0.25

Answer 1

Group	ni	x̅i	nx̅i	ni*(Xi-Xgrand)2	SS=(ni-1)*s2
1	10	54.15	541.50	438.2798	342.6201
2	13	41.92	544.96	409.0979	564.7152
3	14	48.01	672.14	3.2292	917.2800
total=	37		1758.60	850.6069	1824.6153
	Grand mean=Σnx̅i/Σni=	47.530		SSTr	SSE

from above:

value of the grand mean =47.530

treatment sum of squares, SSA =850.607

error sum of squares, SSE. =1824.615

total sum of squares, SST =2675.222

test statistic F =MS(between)/MS(error)=

7.925

0.001 < p-value ≤ 0.01