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Site I Site II Site III Site IV 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 1% level of significance. What is the level of significance State the null and alternate hypetheses. OI Mi H: Exactly three means are equa OI MiHại Not all the means are equal OHI Exactly two means are equal. OI HiHi A feur means are diferent (b) Find SSaon Ssn and SSand check that SSr- SSer+ SS (Use 3 decimal places.) SSror- O SSer- Find dan d MSan and MS (Use 3 decimal places for MSn and MS) dar- MSET MS- Find the value of the sample F statistic. (Use 3 decimal places.) What are the degrees of freedem O(numerator) (denominator) (e) Find the Pvalue or of the sample test statistic. (Use 4 decimal places.) O (4) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? O Since the Pvalue is greater than the level of significance at0.01, we de not reject Hg O Since the value is less than or equal to the level of significance at e0.01, we relect M.

Site I Site II Site III Site IV 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 1% level of significance. What is the level of significance State the null and alternate hypetheses. OI Mi H: Exactly three means are equa OI MiHại Not all the means are equal OHI Exactly two means are equal. OI HiHi A feur means are diferent (b) Find SSaon Ssn and SSand check that SSr- SSer+ SS (Use 3 decimal places.) SSror- O SSer- Find dan d MSan and MS (Use 3 decimal places for MSn and MS) dar- MSET MS- Find the value of the sample F statistic. (Use 3 decimal places.) What are the degrees of freedem O(numerator) (denominator) (e) Find the Pvalue or of the sample test statistic. (Use 4 decimal places.) O (4) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? O Since the Pvalue is greater than the level of significance at0.01, we de not reject Hg O Since the value is less than or equal to the level of significance at e0.01, we relect M.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Another type of painted ceramic vessel is called three-circle red-on-white (Mimbres Mogollon Archaeology). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations. ``` Site I: 20, 18, 21, 22 Site II: 19, 22, 25 Site III: 23, 20, 19, 17 Site IV: 18, 19, 21, 23, 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 1% level of significance. **(a) What is the level of significance?** State the null and alternate hypotheses. - \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4 \) - \( H_1: \) At least one mean is different. Choose the correct null and alternate hypotheses. - \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4; \) At least one mean is different. - \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4; \) Exactly three means are equal. - \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4; \) Not all the means are equal. - \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4; \) Exactly two means are equal. - \( H_0: \mu_1 = \mu_2 = \mu_3, and \mu_4; \) Not all the means are equal. - \( H_0: \mu_1 = \mu_2 = \mu_3, and \mu_4; \) All four means are equal. **(b) Find \( SS_{\text{total}}, SS_{\text{between}}, \) and \( SS_{\text{within}} \)** (Use 3 decimal places.) - \( SS_{\text{total}} = \) - \( SS_{\text{between}} = \) - \( SS_{\text{within
Transcribed Image Text:Another type of painted ceramic vessel is called three-circle red-on-white (Mimbres Mogollon Archaeology). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations. ``` Site I: 20, 18, 21, 22 Site II: 19, 22, 25 Site III: 23, 20, 19, 17 Site IV: 18, 19, 21, 23, 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 1% level of significance. **(a) What is the level of significance?** State the null and alternate hypotheses. - \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4 \) - \( H_1: \) At least one mean is different. Choose the correct null and alternate hypotheses. - \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4; \) At least one mean is different. - \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4; \) Exactly three means are equal. - \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4; \) Not all the means are equal. - \( H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4; \) Exactly two means are equal. - \( H_0: \mu_1 = \mu_2 = \mu_3, and \mu_4; \) Not all the means are equal. - \( H_0: \mu_1 = \mu_2 = \mu_3, and \mu_4; \) All four means are equal. **(b) Find \( SS_{\text{total}}, SS_{\text{between}}, \) and \( SS_{\text{within}} \)** (Use 3 decimal places.) - \( SS_{\text{total}} = \) - \( SS_{\text{between}} = \) - \( SS_{\text{within
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Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case you require the unanswered parts also, kindly re-post that parts separately.

a)

From the given information, the level of significance is 1%.

The level of significance is 1% or 0.01

Hypotheses:

Null Hypothesis:

H0:μ1=μ2=μ3=μ4

That is, the four groups have same mean.

Alternative Hypothesis:

H1: At least two means are different

That is, Not all the means are equal.

Correct option: 2nd option.

 

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