Explain and discuss on how is One way Anova different form block Anova and Two Factor Anova as far as application and variance partition.

Problem 3
Given the following data related the premium charged for a life insurance of 2 million-dollars.
Age group Male Non Smoker Male Smoker Female Non Smoker Female Smoker

18 to 35 $12 $16 $11 $14

35 to 40 $24 $30 $20 $26

40 to45 $48 $60 $40 $54

45 to 50 $90 $100 $80 $95

50 to 55 $180 $200 $160 $190

55 to 60 $360 $400 $320 $380

60 to 65 $720 $750 $700 $740

65 to 70 $1,400 $1,500 $1,200 $1,450

70 to 75 $3,000 $3,500 $2,800 $3,200

75 to 80 $8,000 $9,000 $7,500 $8,500
Based on the above data, set a number of hypothesis that you may be able to test.
Specify clearly the analysis technique you use to answer the hypothesis.
Conduct the test for each of your hypothesis.
How is One way Anova different form block Anova and Two Factor Anova as far as application and variance partition.

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