Question

# Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four...

Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations.

 Site I Site II Site III Site IV 19 15 38 13 22 8 15 17 5 30 10 16 22 8 47 37 10 24 19 12 18

Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 5% level of significance.

(a) What is the level of significance?

State the null and alternate hypotheses (from the following).

Ho: μ1 = μ2 = μ3 = μ4; H1: Not all the means are equal.

Ho: μ1 = μ2 = μ3 = μ4; H1: Exactly two means are equal.

Ho: μ1 = μ2 = μ3 = μ4; H1: Exactly three means are equal.

Ho: μ1 = μ2 = μ3 = μ4; H1: All four means are different.

(b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.)

 SSTOT = SSBET = SSW =

Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.)

 dfBET = dfW = MSBET = MSW =

Find the value of the sample F statistic. (Use 3 decimal places.)

What are the degrees of freedom?
(numerator)
(denominator)

(c) Find the P-value of the sample test statistic.
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis?
(e) Interpret your conclusion in the context of the application.

(f) Make a summary table for your ANOVA test.

 Source of Variation Sum of Squares Degrees of Freedom MS F Ratio P Value Test Decision Between groups ---Select from the following--- p-value > 0.100 -- 0.050 < p-value < 0.100 -- 0.025 < p-value < 0.050 -- 0.010 < p-value < 0.025 -- 0.001 < p-value < 0.010 -- p-value < 0.001 ---Select from following--- Do not reject H0. -- Reject H0. Within groups Total

 Applying one way ANOVA: (use excel: data: data analysis: one way ANOVA: select Array):

a)level of significance=0.05

Ho: μ1 = μ2 = μ3 = μ4; H1: Not all the means are equal.

b)

 SSTOT 2362.29 SSBET 399.252 SSW 1963.03
 dfBET 3 dfW 17 MSBET 133.084 MSW 115.473
 value of test statistic for factor A = 1.153
 df(numerator) = 3 df(Denominator) = 17

c)

p value = 0.3566

d) fail to reject the null hypothesis

e) can not conclude that means are different

f)

 Source SS df MS F P value Between 399.252 3 133.084 1.153 0.3566 Within 1963.033 17 115.473 Total 2362.286 20

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• Next, suppose you add the unemployment rate, as a variable, to the regression model above and...
• In a recent random sample, where 600 adults were surveyed, 16.4% indicate that they have fallen...
• Suppose that you estimate the following regression: SALES = 5.467-1.034(PRICE) A) How do you interpret the...
• Consider the following scenario: An industrial seller of grass seeds packages its product in 50-pound bags....
• ​(Bond valuationlong dash—zero coupon​) The Latham Corporation is planning on issuing bonds that pay no interest...
• The article “Doctors Cite Burnout in Mistakes” reported that doctors completing residency have financial struggles that...