Question

The data in the table represent the number of pods on a random sample of soybean plants for various plot types. An agricultural researcher wants to determine if the mean numbers of pods for each plot type are equal.

Plot Type	# of Pods
Liberty	32	31	36	35	41	34	39	37	39
No-Till	32	30	31	27	40	33	37	42	39
Chisel-Plow	34	37	24	23	32	31	27	34	30

Use Minitab Express to determine the following summary statistics. Create one column (Plot Type)of group labels (9 each of the three plot types), and one column (Pods) containing all 27 observations corresponding to the group labels. Use STATISTICS -> Describe -> Descriptive Statisitics to open the dialog box. Input the Pods column in the Variable box. For "grand" statistics, do not specify a Group Variable. For individual treatment group statistics, specify the Plot Type column as the Group Variable. In the Statistics tab, specify only the mean, standard deviation, and sample size (N, in Minitab).

Report all calculations rounded to 3 decimal places, where applicable.

Grand Statistics:
n= x bar= s=

"Liberty" Group Statistics:
n1= xbar1= s1=

"No-Till" Group Statistics:
n2 = xbar2= s2=

"Chisel-Plow" Group Statistics:
n3= x bar3= s3=

Answer 1

data:

prodecure:

for output 1:

STATISTICS -> Describe -> Descriptive Statisitics

for output2:

STATISTICS -> Describe -> Descriptive Statisitics

Output:

output 2 and output 1:

n=27 x bar= 33.593 s=4.971
"Liberty" Group Statistics:
n1=9 xbar1= 36 s1=3.35
"No-Till" Group Statistics:
n2 =9 xbar2=34.56 s2=5.13
"Chisel-Plow" Group Statistics:
n3= 9 x bar3=30.22 s3=4.74