The accompanying data are the weights(kg) of poplar trees that were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the accompanying table. Also shown are partial results from using the Bonferroni test with the sample data.

No Treatment	Fertilizer	Irrigation	Fertilizer and Irrigation
1.209	0.941	0.066	0.849
0.566	0.871	0.655	1.783
0.558	0.457	0.101	1.467
0.125	0.582	0.819	2.247
1.299	1.028	0.938	1.636

	(J) TREATMENT
(I) TREATMENT	Mean Difference(I-J)	Std. Error	Sig.
1.00	2.00	0.0244		0.26979	1.000
	3.00	0.2356		0.26979	1.000
	4.00	0.8450		0.26979	0.039

Part 1

1. Use a0.10significance level to test the claim that the different treatments result in the same mean weight.

Determine the null and alternative hypotheses.

H0:

1. 1>2>3 >4
2. At least the two of the population means are equal
3. 1 23 4
4. Exactly two of the population means are equal
5. 1 =2 = 3 = 4
6. Not all of the population means are equal

H1:

1. 1 =2 = 3 = 4
2. At least the two of the population means are equal
3. Exactly two of the population means are different from the others
4. At least one of the four population means is different from the other
5. 1 23 4
6. 1>2>3 >4

Part 2

Determine the test statistic.

The test statistic is.

(Round to two decimal places asneeded.)

Part 3

Determine theP-value.

TheP-value is

(Round to three decimal places asneeded.)

Part 4

What is the conclusion for this hypothesis test at a0.10significancelevel?

A.

Reject

H0.There issufficientevidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.

B.

FailtorejectH0.There issufficientevidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.

C.

RejectH0.There isinsufficientevidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.

D.

FailtorejectH0.There isinsufficientevidence to warrant rejection of the claim that the four different treatments yield the same mean poplar weight.

Part 5

b.What do the displayed Bonferroni results tellus?

With aP-value of

there

is not

is

a significant difference between the No Treatment and Fertilizer groups.

With aP-value of

,

there

is

is not

a significant difference between the No Treatment and Irrigation groups.

With aP-value of

,

there

is

is not

a significant difference between the No Treatment and Fertilizer and Irrigation groups.

(Round to three decimal places asneeded.)

Part 6

c. Let1,2,3,and4represent the mean amount of the notreatment, fertilizer,irrigation, and fertilizer and irrigationgroups, respectively.Use the Bonferroni test procedure with a

0.10significance level to test for a significant difference between the mean amount of the irrigation treatment group and the group treated with both fertilizer and irrigation. Identify the test statistic and theP-value. What do the resultsindicate?

Determine the null and alternative hypotheses.

H0:

mu 2 equals mu 32=3

mu 3 not equals mu 434

mu 3 equals mu 43=4

mu 2 not equals mu 323

mu 1 not equals mu 212

mu 1 equals mu 21=2

H1:

mu 2 not equals mu 323

mu 3 not equals mu 434

mu 1 not equals mu 212

mu 3 equals mu 43=4

mu 1 equals mu 21=2

mu 2 equals mu 32=3

Part 7

The test statistic is

(Round to two decimal places asneeded.)

Part 8

Find theP-value.

TheP-value is

(Round to three decimal places asneeded.)

Part 9

What do the results indicate at a

0.10

significancelevel?

A. RejectH0.There isinsufficientevidence to warrant rejection of the claim thatthe irrigation treatmentgroup and the group treated with both fertilizer and irrigationyield the same mean poplar weight.

B. FailtorejectH0.There issufficientevidence to warrant rejection of the claim thatthe irrigation treatment group and the group treated with both fertilizer and irrigationyield the same mean poplar weight.

C. FailtorejectH0.There isinsufficientevidence to warrant rejection of the claim thatthe irrigation treatment group and the group treated with both fertilizer and irrigationyield the same mean poplar weight.

D. RejectH0.There issufficientevidence to warrant rejection of the claim thatthe irrigation treatment group and the group treated with both fertilizer and irrigationyield the same mean poplar weight.