Problem 1- solve with R markdown
The tax agency is looking at creating tax forms which are easier for all income groups. They asked 120 tax payers (40 from each tax bracket) to take part in the experiment. Each person filled one form randomly assigned in that group. The time taken in minutes is given below.
Do an ANOVA 2-factor analysis. Use a 5% Level of Significance. Answer the questions below.
a. Can we conclude that differences exist between the 4 forms?
b. Can we conclude that taxpayers in different tax brackets require different amount of time?
c. Is there an evidence that there is an interaction between the two factors? Explain what it means.
d. Draw the graph to show the interaction between the two factors.

Tax Bracket	Form 1	Form 2	Form 3	Form 4
Low	43	84	72	81
Low	57	64	113	152
Low	53	115	111	95
Low	58	37	104	71
Low	72	94	118	138
Low	54	51	141	99
Low	138	64	67	101
Low	78	112	86	136
Low	105	93	98	126
Low	75	82	96	87
Midium	82	122	100	129
Midium	61	65	120	121
Midium	123	93	89	94
Midium	86	99	112	91
Midium	150	65	86	139
Midium	77	89	64	54
Midium	120	84	108	129
Midium	56	114	111	97
Midium	98	66	141	166
Midium	104	108	142	80
High	132	139	115	86
High	103	134	135	110
High	75	114	94	145
High	145	108	60	109
High	66	199	69	145
High	93	77	126	158
High	130	123	75	92
High	109	109	84	38
High	122	113	106	158
High	124	114	44	74