2025-03-15
Involves the procedural testing of a particular data set that relates to a theory in order to prove.
Research Hypothesis is part of the hypothesis testing that consist of the theory needed to be tested.
Null Hypothesis \[H_O:\mu=O\] counteracts the research hypothesis with the intent to have no Affect from the data set.
this data set was collected from a csv file ‘steps_tracker_dataset.csv’ found online through the website https://www.kaggle.com/datasets/monicahjones/steps-tracker-dataset/data
## Loading required package: ggplot2
## ## Attaching package: 'plotly'
## The following object is masked from 'package:ggplot2': ## ## last_plot
## The following object is masked from 'package:stats': ## ## filter
## The following object is masked from 'package:graphics': ## ## layout
## date steps distance_km calories_burned active_minutes sleep_hours ## 1 08/10/2022 4147 3.11 124.41 41 10.5 ## 2 11/06/2022 323 0.24 9.69 3 6.0 ## 3 28/01/2022 6622 4.97 198.66 66 6.0 ## 4 23/03/2022 11136 8.35 334.08 111 8.0 ## 5 20/05/2022 2718 2.04 81.54 27 4.9 ## 6 26/12/2022 4972 3.73 149.16 50 6.0 ## 7 27/07/2022 15271 11.45 458.13 153 3.4 ## 8 13/07/2022 17290 12.97 518.70 173 11.6 ## 9 17/06/2022 1042 0.78 31.26 10 6.5 ## 10 25/06/2022 6818 5.11 204.54 68 6.5 ## 11 16/01/2022 13141 9.86 394.23 131 6.5 ## 12 16/06/2022 5046 3.78 151.38 50 6.0 ## 13 30/10/2022 11615 8.71 348.45 116 7.8 ## 14 22/08/2022 4301 3.23 129.03 43 9.0 ## 15 22/07/2022 8655 6.49 259.65 87 9.0 ## 16 08/09/2022 14113 10.58 423.39 141 7.0 ## 17 09/07/2022 15435 11.58 463.05 154 6.5 ## 18 04/04/2022 18451 13.84 553.53 185 8.0 ## 19 26/01/2022 11850 8.89 355.50 119 6.5 ## 20 24/01/2022 1075 0.81 32.25 11 7.0 ## 21 28/07/2022 5340 4.01 160.20 53 4.8 ## 22 09/02/2022 13972 10.48 419.16 140 6.0 ## 23 06/08/2022 17002 12.75 510.06 170 9.0 ## 24 31/10/2022 7786 5.84 233.58 78 6.0 ## 25 26/03/2022 10776 8.08 323.28 108 6.0 ## 26 19/05/2022 15203 11.40 456.09 152 6.5 ## 27 10/05/2022 2644 1.98 79.32 26 10.6 ## 28 13/05/2022 1905 1.43 57.15 19 3.3 ## 29 13/06/2022 7467 5.60 224.01 75 6.5 ## 30 24/07/2022 15005 11.25 450.15 150 8.2 ## 31 01/02/2022 1811 1.36 54.33 18 4.6 ## 32 23/01/2022 17812 13.36 534.36 178 8.0 ## 33 08/05/2022 1193 0.89 35.79 12 3.1 ## 34 07/03/2022 14118 10.59 423.54 141 6.0 ## 35 20/08/2022 17536 13.15 526.08 175 8.3 ## 36 20/09/2022 8159 6.12 244.77 82 4.8 ## 37 01/08/2022 16123 12.09 483.69 161 8.0 ## 38 26/07/2022 5606 4.20 168.18 56 8.0 ## 39 07/07/2022 6292 4.72 188.76 63 9.0 ## 40 23/01/2022 7740 5.81 232.20 77 6.5 ## 41 17/08/2022 8678 6.51 260.34 87 6.5 ## 42 01/03/2022 5861 4.40 175.83 59 5.7 ## 43 22/04/2022 10948 8.21 328.44 109 6.0 ## 44 14/12/2022 11079 8.31 332.37 111 6.5 ## 45 03/03/2022 14928 11.20 447.84 149 8.7 ## 46 21/05/2022 19940 14.96 598.20 199 6.0 ## 47 11/01/2022 10598 7.95 317.94 106 7.0 ## 48 06/03/2022 17134 12.85 514.02 171 4.8 ## 49 29/08/2022 3276 2.46 98.28 33 6.0 ## 50 16/11/2022 17751 13.31 532.53 178 7.0 ## 51 14/02/2022 6679 5.01 200.37 67 5.6 ## 52 18/01/2022 8929 6.70 267.87 89 8.0 ## 53 15/04/2022 329 0.25 9.87 3 8.0 ## 54 13/03/2022 17094 12.82 512.82 171 6.5 ## 55 25/04/2022 1964 1.47 58.92 20 5.2 ## 56 30/07/2022 19702 14.78 591.06 197 6.0 ## 57 12/01/2022 13813 10.36 414.39 138 6.5 ## 58 03/02/2022 6169 4.63 185.07 62 8.0 ## 59 16/06/2022 11000 8.25 330.00 110 8.0 ## 60 12/11/2022 6683 5.01 200.49 67 6.0 ## 61 10/03/2022 843 0.63 25.29 8 8.0 ## 62 05/06/2022 5397 4.05 161.91 54 6.5 ## 63 06/07/2022 12976 9.73 389.28 130 8.0 ## 64 08/02/2022 2169 1.63 65.07 22 8.0 ## 65 18/04/2022 7287 5.47 218.61 73 9.1 ## 66 14/05/2022 10720 8.04 321.60 107 6.0 ## 67 07/09/2022 765 0.57 22.95 8 7.0 ## 68 24/06/2022 18989 14.24 569.67 190 8.0 ## 69 12/09/2022 3105 2.33 93.15 31 6.8 ## 70 18/01/2022 7445 5.58 223.35 74 4.8 ## 71 15/12/2022 15063 11.30 451.89 151 6.0 ## 72 15/03/2022 1505 1.13 45.15 15 8.4 ## 73 10/10/2022 18313 13.73 549.39 183 6.5 ## 74 16/01/2022 13681 10.26 410.43 137 10.9 ## 75 18/11/2022 17964 13.47 538.92 180 4.4 ## 76 24/10/2022 8497 6.37 254.91 85 9.0 ## 77 01/04/2022 17993 13.49 539.79 180 7.0 ## 78 14/06/2022 19143 14.36 574.29 191 6.0 ## 79 22/04/2022 19529 14.65 585.87 195 10.7 ## 80 17/10/2022 1683 1.26 50.49 17 9.0 ## 81 25/04/2022 14008 10.51 420.24 140 12.0 ## 82 16/07/2022 10941 8.21 328.23 109 8.5 ## 83 30/11/2022 6220 4.67 186.60 62 9.0 ## 84 09/01/2022 19260 14.45 577.80 193 6.5 ## 85 22/05/2022 4237 3.18 127.11 42 6.0 ## 86 29/12/2022 16177 12.13 485.31 162 7.0 ## 87 11/08/2022 5179 3.88 155.37 52 8.0 ## 88 03/04/2022 17215 12.91 516.45 172 6.5 ## 89 25/03/2022 15893 11.92 476.79 159 8.0 ## 90 29/06/2022 8761 6.57 262.83 88 4.1 ## 91 09/08/2022 14137 10.60 424.11 141 5.5 ## 92 19/02/2022 19389 14.54 581.67 194 8.0 ## 93 30/07/2022 12523 9.39 375.69 125 4.0 ## 94 23/12/2022 2005 1.50 60.15 20 4.6 ## 95 14/09/2022 18641 13.98 559.23 186 8.0 ## 96 12/06/2022 15534 11.65 466.02 155 3.1 ## 97 12/12/2022 11182 8.39 335.46 112 9.0 ## 98 14/03/2022 5966 4.47 178.98 60 6.0 ## 99 28/11/2022 16126 12.09 483.78 161 6.0 ## 100 16/12/2022 7321 5.49 219.63 73 8.4 ## water_intake_liters mood ## 1 3.77 stressed ## 2 1.90 sad ## 3 4.48 sad ## 4 1.08 tired ## 5 1.00 tired ## 6 3.33 happy ## 7 0.88 happy ## 8 4.08 energetic ## 9 2.49 happy ## 10 3.61 stressed ## 11 2.35 tired ## 12 4.03 happy ## 13 0.43 stressed ## 14 2.87 happy ## 15 0.94 happy ## 16 1.17 stressed ## 17 4.83 energetic ## 18 1.35 sad ## 19 2.79 stressed ## 20 2.09 sad ## 21 2.53 happy ## 22 1.18 energetic ## 23 2.92 tired ## 24 0.74 stressed ## 25 4.65 sad ## 26 1.02 energetic ## 27 0.84 sad ## 28 3.44 stressed ## 29 2.47 sad ## 30 2.06 happy ## 31 3.45 stressed ## 32 1.08 stressed ## 33 4.12 energetic ## 34 3.77 stressed ## 35 0.39 tired ## 36 2.83 tired ## 37 4.35 sad ## 38 1.46 tired ## 39 0.80 tired ## 40 3.32 stressed ## 41 2.70 stressed ## 42 2.78 energetic ## 43 0.84 energetic ## 44 0.99 tired ## 45 2.01 happy ## 46 0.24 tired ## 47 1.45 energetic ## 48 0.47 stressed ## 49 3.36 stressed ## 50 0.30 happy ## 51 2.41 stressed ## 52 2.04 tired ## 53 1.96 happy ## 54 4.43 sad ## 55 2.19 happy ## 56 0.68 happy ## 57 1.83 tired ## 58 4.42 energetic ## 59 1.15 energetic ## 60 2.44 tired ## 61 2.18 tired ## 62 1.68 sad ## 63 2.59 sad ## 64 2.19 tired ## 65 4.30 happy ## 66 4.88 tired ## 67 3.33 sad ## 68 3.95 stressed ## 69 4.90 happy ## 70 4.58 tired ## 71 2.09 energetic ## 72 4.38 happy ## 73 4.42 stressed ## 74 4.31 tired ## 75 2.44 sad ## 76 1.44 happy ## 77 1.30 stressed ## 78 3.63 happy ## 79 4.44 stressed ## 80 2.84 stressed ## 81 4.71 energetic ## 82 4.54 happy ## 83 0.65 tired ## 84 4.03 stressed ## 85 1.77 tired ## 86 3.22 tired ## 87 1.92 tired ## 88 2.89 stressed ## 89 2.45 tired ## 90 1.82 sad ## 91 2.73 sad ## 92 3.44 sad ## 93 4.66 energetic ## 94 3.13 stressed ## 95 1.58 tired ## 96 4.50 happy ## 97 4.20 happy ## 98 0.28 tired ## 99 4.19 happy ## 100 0.79 stressed
Research Hypothesis More sleep allows more energy to heighten step perfomance.
Null Hypothesis sleep does not contribute to step performance.
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
Energetic shows that there are most steps, and tired indicated the least amount of steps.
## [,1] ## [1,] 0.7 ## [2,] 1.9 ## [3,] 3.1 ## [4,] 4.3 ## [5,] 5.5
An average of more sleep lead to being more tired.
this plot shows that there are no significant truth in regards to how sleep affect number of steps.
using the Z statistics formula \(z=(\chi-\mu)/\sigma\)
result = (10238.48-10238.57)/5829.268 result
## [1] -1.543933e-05
From the results based on the statistical graphs more sleep does not indicate more steps performed