Use a 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: Not all the population means are equal. На: М1 = М2 = из =H4 о но: H1 + H2 + H3 + H4 На: М1 = M2 = M3 = H4 O Ho: At least two of the population means are equal. Ha: At least two of the population means are different. о но н1 = H2= H3 = 14 на: M1 #H2 + H3 + H4 о но: H1 = H2= из = H4 Ha: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round p-value = answer to three decimal places.) State your conclusion. O Reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. O Reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal. O Do not reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. O Do not reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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State the null hypthosis and after please. Don't worry filling out the table. 

An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table. (Round your values for mean squares and F to two
decimal places, and your p-value to three decimal places.)
Source
of Variation
Treatments
Degrees
of Squares of Freedom Square
1,500
800
3861
Blocks
Error
Total
Sum
Use α =
3,000
Mean
0.05 to test for any significant differences.
F
p-value
Transcribed Image Text:An experiment has been conducted for four treatments with eight blocks. Complete the following analysis of variance table. (Round your values for mean squares and F to two decimal places, and your p-value to three decimal places.) Source of Variation Treatments Degrees of Squares of Freedom Square 1,500 800 3861 Blocks Error Total Sum Use α = 3,000 Mean 0.05 to test for any significant differences. F p-value
Use α = 0.05 to test for any significant differences.
State the null and alternative hypotheses.
: Not all the population means are equal.
Ho:
Ha: M₁ = M₂ = M3 = μ4
O Ho: M₁ M₂ M3 M4
#
#
На: M1 = M2 = M3 =H4
Ho: At least two of the population means are equal.
Ha: At least two of the population means are different.
Hо: M1 = M2 = M3 = M4
Ha: M₁ M₂ M3 M4
#
Ної M1 = M2 = M3 = M4
H₂:
: Not all the population means are equal.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal.
Reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal.
Do not reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal.
Do not reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal.
Transcribed Image Text:Use α = 0.05 to test for any significant differences. State the null and alternative hypotheses. : Not all the population means are equal. Ho: Ha: M₁ = M₂ = M3 = μ4 O Ho: M₁ M₂ M3 M4 # # На: M1 = M2 = M3 =H4 Ho: At least two of the population means are equal. Ha: At least two of the population means are different. Hо: M1 = M2 = M3 = M4 Ha: M₁ M₂ M3 M4 # Ної M1 = M2 = M3 = M4 H₂: : Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. Reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal. Do not reject Ho. There is not sufficient evidence to conclude that the means of the four treatments are not all equal. Do not reject Ho. There is sufficient evidence to conclude that the means of the four treatments are not all equal.
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