Using R and the given Dataset Experiment Temperature N source Replica Dry weight Optical density Product yield batch 30 a A2 30 ammonium chloride 1 5 18 1 6 34 9 batch 30 a A3 30 ammonium chloride 2 3 76 1 78 33 1 batch 30 a A4 30 ammonium chloride 3 4 4 1 7 29 batch 30 a A5 30 ammonium chloride 4 3 48 1 75 55 8 batch 30 a A6 30 ammonium chloride 5 6 06 1 85 68 9 batch 30 a B2 30 ammonium chloride 6 3 92 1 88 46 3 batch 30 a B3 30 ammonium chloride 7 4 28 1 79 63 1 batch 30 a B4 30 ammonium chloride 8 5 47 1 82 69 9 batch 30 a B5 30 ammonium chloride 9 5 73 1 87 34 1 batch 30 a B6 30 ammonium chloride 10 4 09 1 75 33 5 batch 30 a C2 30 ammonium chloride 11 7 78 1 7 43 6 batch 30 a C3 30 ammonium chloride 12 3 76 1 77 49 8 batch 30 a C4 30 ammonium chloride 13 5 41 1 74 29 3 batch 30 a C5 30 ammonium chloride 14 7 48 1 79 51 2 batch 30 a C6 30 ammonium chloride 15 6 57 1 51 14 6 batch 30 a D2 30 ammonium chloride 16 9 18 1 77 67 4 batch 30 a D3 30 ammonium chloride 17 5 92 1 74 37 8 batch 30 a D4 30 ammonium chloride 18 3 44 1 59 34 3 batch 30 a D5 30 ammonium chloride 19 4 99 1 7 32 5 batch 30 a D6 30 ammonium chloride 20 8 17 1 86 44 5 batch 35 a A2 35 ammonium chloride 1 7 38 1 71 33 2 batch 35 a A3 35 ammonium chloride 2 6 08 1 86 43 7 batch 35 a A4 35 ammonium chloride 3 6 92 1 83 47 5 batch 35 a A5 35 ammonium chloride 4 8 14 1 81 37 9 batch 35 a A6 35 ammonium chloride 5 5 48 1 75 47 2 batch 35 a B2 35 ammonium chloride 6 5 85 1 75 37 4 batch 35 a B3 35 ammonium chloride 7 3 64 1 69 60 1 batch 35 a B4 35 ammonium chloride 8 6 13 1 81 57 6 batch 35 a B5 35 ammonium chloride 9 5 94 1 7 54 batch 35 a B6 35 ammonium chloride 10 6 39 1 64 41 3 batch 35 a C2 35 ammonium chloride 11 6 76 1 86 36 8 batch 35 a C3 35 ammonium chloride 12 7 11 1 54 31 7 batch 35 a C4 35 ammonium chloride 13 6 74 1 86 27 2 batch 35 a C5 35 ammonium chloride 14 2 65 1 91 30 6 batch 35 a C6 35 ammonium chloride 15 1 67 0 21 8 4 batch 35 a D2 35 ammonium chloride 16 5 8 1 88 45 3 batch 35 a D3 35 ammonium chloride 17 4 79 1 84 53 1 batch 35 a D4 35 ammonium chloride 18 5 82 1 71 42 9 batch 35 a D5 35 ammonium chloride 19 8 36 1 99 42 batch 35 a D6 35 ammonium chloride 20 7 45 1 83 30 7 batch 37 a A2 37 ammonium chloride 1 5 56 1 75 41 6 batch 37 a A3 37 ammonium chloride 2 8 75 1 79 34 8 batch 37 a A4 37 ammonium chloride 3 4 31 1 74 70 5 batch 37 a A5 37 ammonium chloride 4 4 43 1 65 49 batch 37 a A6 37 ammonium chloride 5 4 32 1 77 38 7 batch 37 a B2 37 ammonium chloride 6 3 4 1 77 51 5 batch 37 a B3 37 ammonium chloride 7 7 53 1 74 31 5 batch 37 a B4 37 ammonium chloride 8 7 35 1 65 23 9 batch 37 a B5 37 ammonium chloride 9 6 77 1 79 30 6 batch 37 a B6 37 ammonium chloride 10 10 3 1 7 43 7 batch 37 a C2 37 ammonium chloride 11 5 04 1 81 44 6 batch 37 a C3 37 ammonium chloride 12 4 02 1 64 55 1 batch 37 a C4 37 ammonium chloride 13 4 99 1 83 33 8 batch 37 a C5 37 ammonium chloride 14 4 18 1 9 29 5 batch 37 a C6 37 ammonium chloride 15 5 5 1 85 30 6 batch 37 a D2 37 ammonium chloride 16 6 61 1 76 36 6 batch 37 a D3 37 ammonium chloride 17 5 82 1 91 47 4 batch 37 a D4 37 ammonium chloride 18 6 61 1 87 53 5 batch 37 a D5 37 ammonium chloride 19 4 01 1 8 43 6 batch 37 a D6 37 ammonium chloride 20 7 51 1 5 44 batch 30 y A2 30 yeast extract 1 7 61 2 16 90 6 batch 30 y A3 30 yeast extract 2 7 58 2 2 48 8 batch 30 y A4 30 yeast extract 3 4 81 2 09 61 3 batch 30 y A5 30 yeast extract 4 5 19 2 19 53 8 batch 30 y A6 30 yeast extract 5 4 23 2 24 81 3 batch 30 y B2 30 yeast extract 6 7 87 1 98 75 9 batch 30 y B3 30 yeast extract 7 6 74 1 88 69 8 batch 30 y B4 30 yeast extract 8 9 63 2 22 65 6 batch 30 y B5 30 yeast extract 9 3 35 2 11 89 4 batch 30 y B6 30 yeast extract 10 6 58 1 91 88 4 batch 30 y C2 30 yeast extract 11 4 48 2 06 75 9 batch 30 y C3 30 yeast extract 12 6 57 2 16 77 6 batch 30 y C4 30 yeast extract 13 8 82 2 25 57 batch 30 y C5 30 yeast extract 14 4 83 2 11 70 1 batch 30 y C6 30 yeast extract 15 7 37 2 13 80 6 batch 30 y D2 30 yeast extract 16 5 98 2 22 71 4 batch 30 y D3 30 yeast extract 17 7 07 2 15 46 4 batch 30 y D4 30 yeast extract 18 4 37 1 88 66 9 batch 30 y D5 30 yeast extract 19 7 74 1 95 59 6 batch 30 y D6 30 yeast extract 20 7 01 2 12 58 9 batch 35 y A2 35 yeast extract 1 4 54 2 45 73 4 batch 35 y A3 35 yeast extract 2 8 08 2 26 65 3 batch 35 y A4 35 yeast extract 3 3 92 2 11 78 7 batch 35 y A5 35 yeast extract 4 4 6 2 24 72 5 batch 35 y A6 35 yeast extract 5 7 29 2 45 80 7 batch 35 y B2 35 yeast extract 6 6 45 2 47 62 2 batch 35 y B3 35 yeast extract 7 5 36 2 32 51 9 batch 35 y B4 35 yeast extract 8 5 67 2 23 80 5 batch 35 y B5 35 yeast extract 9 5 18 2 07 65 5 batch 35 y B6 35 yeast extract 10 8 35 2 16 61 8 batch 35 y C2 35 yeast extract 11 4 37 2 25 65 batch 35 y C3 35 yeast extract 12 6 47 2 27 67 9 batch 35 y C4 35 yeast extract 13 6 48 2 39 84 1 batch 35 y C5 35 yeast extract 14 5 43 2 24 91 batch 35 y C6 35 yeast extract 15 7 07 2 37 73 8 batch 35 y D2 35 yeast extract 16 4 45 2 04 81 3 batch 35 y D3 35 yeast extract 17 4 52 2 38 79 5 batch 35 y D4 35 yeast extract 18 6 83 2 37 82 8 batch 35 y D5 35 yeast extract 19 6 64 2 07 67 9 batch 35 y D6 35 yeast extract 20 6 41 2 38 64 7 batch 37 y A2 37 yeast extract 1 4 91 2 48 82 9 batch 37 y A3 37 yeast extract 2 8 31 2 29 73 3 batch 37 y A4 37 yeast extract 3 9 64 1 98 75 5 batch 37 y A5 37 yeast extract 4 5 8 2 35 65 9 batch 37 y A6 37 yeast extract 5 3 82 2 2 71 5 batch 37 y B2 37 yeast extract 6 7 83 2 23 85 9 batch 37 y B3 37 yeast extract 7 5 56 2 17 49 2 batch 37 y B4 37 yeast extract 8 6 89 2 24 65 4 batch 37 y B5 37 yeast extract 9 6 37 2 35 87 4 batch 37 y B6 37 yeast extract 10 6 35 2 25 66 1 batch 37 y C2 37 yeast extract 11 6 29 2 21 69 6 batch 37 y C3 37 yeast extract 12 7 82 2 28 80 batch 37 y C4 37 yeast extract 13 6 51 2 37 75 7 batch 37 y C5 37 yeast extract 14 5 96 2 41 75 batch 37 y C6 37 yeast extract 15 8 14 2 12 71 1 batch 37 y D2 37 yeast extract 16 6 44 2 29 93 1 batch 37 y D3 37 yeast extract 17 4 99 2 18 85 batch 37 y D4 37 yeast extract 18 6 21 2 19 88 9 batch 37 y D5 37 yeast extract 19 6 47 2 25 76 9 batch 37 y D6 37 yeast extract 20 7 41 2 36 57 7 a) Conduct a boxplot for Dry weight, Optical density, and Product yield for temperature, N source interpret the plots b) Conduct an ANOVA analysis, and provide a hypothesis for temperature and N source separately for Dry weight Optical density Product yield Are there any main effects c) See if there are any interaction effects if you include the other group variables d) Is there a difference in the mean Dry weight, Optical density Product yield for all different groups (temperature, N source, experiment) simultaneously

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Question: Using R and the given Dataset Experiment Temperature N-source Replica Dry weight Optical density Product yield batch_30_a_A2 30 ammonium chloride 1 5.18 1.6 34.9 batch_30_a_A3

Using R and the given Dataset

Experiment	Temperature	N-source	Replica	Dry weight	Optical density	Product yield
batch_30_a_A2	30	ammonium chloride	1	5.18	1.6	34.9
batch_30_a_A3	30	ammonium chloride	2	3.76	1.78	33.1
batch_30_a_A4	30	ammonium chloride	3	4.4	1.7	29
batch_30_a_A5	30	ammonium chloride	4	3.48	1.75	55.8
batch_30_a_A6	30	ammonium chloride	5	6.06	1.85	68.9
batch_30_a_B2	30	ammonium chloride	6	3.92	1.88	46.3
batch_30_a_B3	30	ammonium chloride	7	4.28	1.79	63.1
batch_30_a_B4	30	ammonium chloride	8	5.47	1.82	69.9
batch_30_a_B5	30	ammonium chloride	9	5.73	1.87	34.1
batch_30_a_B6	30	ammonium chloride	10	4.09	1.75	33.5
batch_30_a_C2	30	ammonium chloride	11	7.78	1.7	43.6
batch_30_a_C3	30	ammonium chloride	12	3.76	1.77	49.8
batch_30_a_C4	30	ammonium chloride	13	5.41	1.74	29.3
batch_30_a_C5	30	ammonium chloride	14	7.48	1.79	51.2
batch_30_a_C6	30	ammonium chloride	15	6.57	1.51	14.6
batch_30_a_D2	30	ammonium chloride	16	9.18	1.77	67.4
batch_30_a_D3	30	ammonium chloride	17	5.92	1.74	37.8
batch_30_a_D4	30	ammonium chloride	18	3.44	1.59	34.3
batch_30_a_D5	30	ammonium chloride	19	4.99	1.7	32.5
batch_30_a_D6	30	ammonium chloride	20	8.17	1.86	44.5
batch_35_a_A2	35	ammonium chloride	1	7.38	1.71	33.2
batch_35_a_A3	35	ammonium chloride	2	6.08	1.86	43.7
batch_35_a_A4	35	ammonium chloride	3	6.92	1.83	47.5
batch_35_a_A5	35	ammonium chloride	4	8.14	1.81	37.9
batch_35_a_A6	35	ammonium chloride	5	5.48	1.75	47.2
batch_35_a_B2	35	ammonium chloride	6	5.85	1.75	37.4
batch_35_a_B3	35	ammonium chloride	7	3.64	1.69	60.1
batch_35_a_B4	35	ammonium chloride	8	6.13	1.81	57.6
batch_35_a_B5	35	ammonium chloride	9	5.94	1.7	54
batch_35_a_B6	35	ammonium chloride	10	6.39	1.64	41.3
batch_35_a_C2	35	ammonium chloride	11	6.76	1.86	36.8
batch_35_a_C3	35	ammonium chloride	12	7.11	1.54	31.7
batch_35_a_C4	35	ammonium chloride	13	6.74	1.86	27.2
batch_35_a_C5	35	ammonium chloride	14	2.65	1.91	30.6
batch_35_a_C6	35	ammonium chloride	15	1.67	0.21	8.4
batch_35_a_D2	35	ammonium chloride	16	5.8	1.88	45.3
batch_35_a_D3	35	ammonium chloride	17	4.79	1.84	53.1
batch_35_a_D4	35	ammonium chloride	18	5.82	1.71	42.9
batch_35_a_D5	35	ammonium chloride	19	8.36	1.99	42
batch_35_a_D6	35	ammonium chloride	20	7.45	1.83	30.7
batch_37_a_A2	37	ammonium chloride	1	5.56	1.75	41.6
batch_37_a_A3	37	ammonium chloride	2	8.75	1.79	34.8
batch_37_a_A4	37	ammonium chloride	3	4.31	1.74	70.5
batch_37_a_A5	37	ammonium chloride	4	4.43	1.65	49
batch_37_a_A6	37	ammonium chloride	5	4.32	1.77	38.7
batch_37_a_B2	37	ammonium chloride	6	3.4	1.77	51.5
batch_37_a_B3	37	ammonium chloride	7	7.53	1.74	31.5
batch_37_a_B4	37	ammonium chloride	8	7.35	1.65	23.9
batch_37_a_B5	37	ammonium chloride	9	6.77	1.79	30.6
batch_37_a_B6	37	ammonium chloride	10	10.3	1.7	43.7
batch_37_a_C2	37	ammonium chloride	11	5.04	1.81	44.6
batch_37_a_C3	37	ammonium chloride	12	4.02	1.64	55.1
batch_37_a_C4	37	ammonium chloride	13	4.99	1.83	33.8
batch_37_a_C5	37	ammonium chloride	14	4.18	1.9	29.5
batch_37_a_C6	37	ammonium chloride	15	5.5	1.85	30.6
batch_37_a_D2	37	ammonium chloride	16	6.61	1.76	36.6
batch_37_a_D3	37	ammonium chloride	17	5.82	1.91	47.4
batch_37_a_D4	37	ammonium chloride	18	6.61	1.87	53.5
batch_37_a_D5	37	ammonium chloride	19	4.01	1.8	43.6
batch_37_a_D6	37	ammonium chloride	20	7.51	1.5	44
batch_30_y_A2	30	yeast extract	1	7.61	2.16	90.6
batch_30_y_A3	30	yeast extract	2	7.58	2.2	48.8
batch_30_y_A4	30	yeast extract	3	4.81	2.09	61.3
batch_30_y_A5	30	yeast extract	4	5.19	2.19	53.8
batch_30_y_A6	30	yeast extract	5	4.23	2.24	81.3
batch_30_y_B2	30	yeast extract	6	7.87	1.98	75.9
batch_30_y_B3	30	yeast extract	7	6.74	1.88	69.8
batch_30_y_B4	30	yeast extract	8	9.63	2.22	65.6
batch_30_y_B5	30	yeast extract	9	3.35	2.11	89.4
batch_30_y_B6	30	yeast extract	10	6.58	1.91	88.4
batch_30_y_C2	30	yeast extract	11	4.48	2.06	75.9
batch_30_y_C3	30	yeast extract	12	6.57	2.16	77.6
batch_30_y_C4	30	yeast extract	13	8.82	2.25	57
batch_30_y_C5	30	yeast extract	14	4.83	2.11	70.1
batch_30_y_C6	30	yeast extract	15	7.37	2.13	80.6
batch_30_y_D2	30	yeast extract	16	5.98	2.22	71.4
batch_30_y_D3	30	yeast extract	17	7.07	2.15	46.4
batch_30_y_D4	30	yeast extract	18	4.37	1.88	66.9
batch_30_y_D5	30	yeast extract	19	7.74	1.95	59.6
batch_30_y_D6	30	yeast extract	20	7.01	2.12	58.9
batch_35_y_A2	35	yeast extract	1	4.54	2.45	73.4
batch_35_y_A3	35	yeast extract	2	8.08	2.26	65.3
batch_35_y_A4	35	yeast extract	3	3.92	2.11	78.7
batch_35_y_A5	35	yeast extract	4	4.6	2.24	72.5
batch_35_y_A6	35	yeast extract	5	7.29	2.45	80.7
batch_35_y_B2	35	yeast extract	6	6.45	2.47	62.2
batch_35_y_B3	35	yeast extract	7	5.36	2.32	51.9
batch_35_y_B4	35	yeast extract	8	5.67	2.23	80.5
batch_35_y_B5	35	yeast extract	9	5.18	2.07	65.5
batch_35_y_B6	35	yeast extract	10	8.35	2.16	61.8
batch_35_y_C2	35	yeast extract	11	4.37	2.25	65
batch_35_y_C3	35	yeast extract	12	6.47	2.27	67.9
batch_35_y_C4	35	yeast extract	13	6.48	2.39	84.1
batch_35_y_C5	35	yeast extract	14	5.43	2.24	91
batch_35_y_C6	35	yeast extract	15	7.07	2.37	73.8
batch_35_y_D2	35	yeast extract	16	4.45	2.04	81.3
batch_35_y_D3	35	yeast extract	17	4.52	2.38	79.5
batch_35_y_D4	35	yeast extract	18	6.83	2.37	82.8
batch_35_y_D5	35	yeast extract	19	6.64	2.07	67.9
batch_35_y_D6	35	yeast extract	20	6.41	2.38	64.7
batch_37_y_A2	37	yeast extract	1	4.91	2.48	82.9
batch_37_y_A3	37	yeast extract	2	8.31	2.29	73.3
batch_37_y_A4	37	yeast extract	3	9.64	1.98	75.5
batch_37_y_A5	37	yeast extract	4	5.8	2.35	65.9
batch_37_y_A6	37	yeast extract	5	3.82	2.2	71.5
batch_37_y_B2	37	yeast extract	6	7.83	2.23	85.9
batch_37_y_B3	37	yeast extract	7	5.56	2.17	49.2
batch_37_y_B4	37	yeast extract	8	6.89	2.24	65.4
batch_37_y_B5	37	yeast extract	9	6.37	2.35	87.4
batch_37_y_B6	37	yeast extract	10	6.35	2.25	66.1
batch_37_y_C2	37	yeast extract	11	6.29	2.21	69.6
batch_37_y_C3	37	yeast extract	12	7.82	2.28	80
batch_37_y_C4	37	yeast extract	13	6.51	2.37	75.7
batch_37_y_C5	37	yeast extract	14	5.96	2.41	75
batch_37_y_C6	37	yeast extract	15	8.14	2.12	71.1
batch_37_y_D2	37	yeast extract	16	6.44	2.29	93.1
batch_37_y_D3	37	yeast extract	17	4.99	2.18	85
batch_37_y_D4	37	yeast extract	18	6.21	2.19	88.9
batch_37_y_D5	37	yeast extract	19	6.47	2.25	76.9
batch_37_y_D6	37	yeast extract	20	7.41	2.36	57.7

a) Conduct a boxplot for Dry weight, Optical density, and Product yield for temperature, N-source interpret the plots

b) Conduct an ANOVA analysis, and provide a hypothesis for temperature and N-source separately for Dry weight Optical density Product yield. Are there any main effects?

c) See if there are any interaction effects if you include the other group variables.

d) Is there a difference in the mean Dry weight, Optical density Product yield for all different groups (temperature, N-source, experiment) simultaneously.

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