Question

# Consider the data in the table collected from four independent populations. Sample 1 Sample 2 Sample...

 Sample Sample Sample Sample 1 2 3 4 Consider the data in the table collected from four independent populations. ​a) Calculate the total sum of squares​ (SST). ​b) Partition the SST into its two​ components, the sum of squares between​ (SSB) and the sum of squares within​ (SSW). 44 1414 2121 44 77 1111 2222 33 88 1717 2020 1111 66 1313

​c) Using

alphaαequals=0.050.05​,

what conclusions can be made concerning the population​ means?

LOADING...

Click the icon to view a table of critical​ F-scores for

alphaαequals=0.050.05.

​a) Determine the value of SST.

SSTequals=nothing

​(Type an integer or a​ decimal.)

​b) Determine the values of SSB and SSW.

SSBequals=nothing

​(Type an integer or a​ decimal.)

SSWequals=nothing

​(Type an integer or a​ decimal.)​c) Let

mu 1μ1​,

mu 2μ2​,

mu 3μ3​,

and

mu 4μ4

be the population means of samples​ 1, 2,​ 3, and​ 4, respectively. What are the correct hypotheses for a​ one-way ANOVA​ test?

A.

Upper H 0H0​:

Not all the means are equal.

Upper H 1H1​:

mu 1μ1equals=mu 2μ2equals=mu 3μ3equals=mu 4μ4

B.

Upper H 0H0​:

mu 1μ1not equals≠mu 2μ2not equals≠mu 3μ3not equals≠mu 4μ4

Upper H 1H1​:

mu 1μ1equals=mu 2μ2equals=mu 3μ3equals=mu 4μ4

C.

Upper H 0H0​:

mu 1μ1equals=mu 2μ2equals=mu 3μ3equals=mu 4μ4

Upper H 1H1​:

mu 1μ1not equals≠mu 2μ2not equals≠mu 3μ3not equals≠mu 4μ4

D.

Upper H 0H0​:

mu 1μ1equals=mu 2μ2equals=mu 3μ3equals=mu 4μ4

Upper H 1H1​:

Not all the means are equal.What is the critical​ F-score,

Upper F Subscript alphaFα​?

Upper F Subscript alphaFαequals=nothing

​(Round to three decimal places as​ needed.)

What is the​ F-test statistic for this​ test?

#### Homework Answers

Answer #1

(a) SST = 8,685.21

(b) SSB = 6,993.80

SSW = 1,691.42

(c) The hypothesis being tested is:

H0: µ1 = µ2 = µ3 = µ4

Ha: Not all the means are equal

The critical​ F-score = 3.708

F-test statistic = 13.78

 Sample 1 Sample 2 Sample 3 Sample 4 44 14 21 44 77 11 22 33 88 17 20 11 66 13 Mean n Std. Dev 68.8 4 18.79 Sample 1 14.0 3 3.00 Sample 2 19.0 4 4.08 Sample 3 29.3 3 16.80 Sample 4 34.4 14 25.85 Total ANOVA table Source SS df MS F p-value Critical F Treatment 6,993.80 3 2,331.27 13.78 .0007 3.708 Error 1,691.42 10 169.142 Total 8,685.21 13
Know the answer?
Your Answer:

#### Post as a guest

Your Name:

What's your source?

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Not the answer you're looking for?
Ask your own homework help question
ADVERTISEMENT
##### Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

ADVERTISEMENT