QUESTION ONEA tea company appoints four salesmen A, B, C and D and observes their sales in three months,April, May and June:MonthsAprilMayJuneA362826i.ii.1B362928SalesmenC213129For the two-way analysis of variance model with one observation per cell, we write theobservation from the jh group and ih block asY₁ = μ+ B₁+t, + &(a) Explain each term in the above model in the context of the given information.(b) Consider the observation on agent B and house 1 (Y₂₁ = 28)Estimate uEstimate and interpret ₂D353229iii.Estimate and interpret 7₁iv.Estimate 21(c) Name the blocking variable and the treatment in this experiment

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A tea company appoints four salesmen A, B, C and D and observes their sales in three months, April, May and June: Months April May June A 36 28 26 1 i. ii. B 36 29 28 Salesmen с 21 31 29 For the two-way analysis of variance model with one observation per cell, we write the observation from the group and block as Y₁ = μ+B₁+T₁ +8₁ (a) Explain each term in the above model in the context of the given information. (b) Consider the observation on agent B and house 1 (Y₂ = 28) Estimate Estimate and interpret ₂ D 35 32 29 iii. Estimate and interpret r₁ iv. Estimate 21 (c) Name the blocking variable and the treatment in this experiment

A tea company appoints four salesmen A, B, C and D and observes their sales in three months, April, May and June: Months April May June A 36 28 26 1 i. ii. B 36 29 28 Salesmen с 21 31 29 For the two-way analysis of variance model with one observation per cell, we write the observation from the group and block as Y₁ = μ+B₁+T₁ +8₁ (a) Explain each term in the above model in the context of the given information. (b) Consider the observation on agent B and house 1 (Y₂ = 28) Estimate Estimate and interpret ₂ D 35 32 29 iii. Estimate and interpret r₁ iv. Estimate 21 (c) Name the blocking variable and the treatment in this experiment

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 14CR

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Help with part (d) to part (g)

QUESTION ONE
A tea company appoints four salesmen A, B, C and D and observes their sales in three months,
April, May and June:
Months
April
May
June
i.
ii.
111.
iv.
A
36
28
26
Estimate u
Estimate and interpret B₂
1
Estimate and interpret 7₁
Estimate &
B
36
29
28
For the two-way analysis of variance model with one observation per cell, we write the
observation from the j" group and i block as
Y₁ = μ+ B₁+t, + &
(a) Explain each term in the above model in the context of the given information.
(b) Consider the observation on agent B and house 1 (Y₂ = 28)
Salesmen
с
21
31
29
D
35
32
29
(c) Name the blocking variable and the treatment in this experiment
(d) What is the purpose of the blocks in this experiment?
(e) Prepare a two-way analysis of variance table.
(f) Test at the 5% level of significance the null hypothesis that there is significant difference
in sales made by the four salesmen.
(g) Test at the 5% level of significance the null hypothesis that there is significant difference
in the sales made during different months.

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