Explore BrainMass

Explore BrainMass

    Null Hypothesis

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Optional Extra Credit Project Due June 14

    Good for up to 10 points, depending on how thorough and creative your work is. Please make sure to show me everything in order to receive the greatest benefit.

    Please evaluate the following null hypothesis, and apply the principles of statistical inference as appropriate. The data in this project are composite "heart scores" compiled on Day 0 and Day 365 from individuals divided into 4 groups:

    Group A: low sodium/low potassium diet
    Group B: high sodium/low potassium diet
    Group C: low sodium/high potassium diet
    Group D: high sodium/high potassium diet

    A heart score greater than 8 indicates the existence of serious coronary artery disease.

    Ho: heart score is not affected by the ratio of sodium to potassium in the diet
    (assume alpha = 0.05)

    Group A
    subject Day 0 Day 365
    1 8.5 6.6
    2 0.7 6.7
    3 9.6 7.3
    4 4.9 5.1
    5 9.7 1.8
    6 9.0 1.2
    7 2.8 3.9
    8 2.5 4.1
    9 2.8 6.4
    10 8.4 6.2
    11 4.1 2.7
    12 6.7 8.6
    13 7.2 6.6
    14 9.2 4.1
    15 2.9 6.8
    16 7.4 4.6
    17 0.3 4.0
    18 7.5 7.8
    19 0.9 2.4
    20 7.5 5.5
    21 2.1 3.3
    22 6.5 4.8
    23 8.4 4.8
    24 4.6 5.0
    25 5.9 7.3
    26 3.1 3.2
    27 8.2 9.7
    28 1.8 1.1
    29 3.2 8.3
    30 5.9 4.2
    31 5.8 8.9
    32 6.1 4.2
    33 1.8 2.7
    34 1.1 5.7
    35 8.5 9.8
    36 6.6 9.4
    37 5.3 4.8
    38 1.4 9.6
    39 3.7 9.6
    40 8.5 1.6
    41 6.6 7.6
    42 5.3 5.9
    43 1.4 5.5
    44 3.7 6.8
    45 8.5 1.3
    46 6.6 5.6
    47 5.3 1.3
    48 1.4 1.7
    49 3.7 6.4
    50 8.5 6.1
    51 5.2 5.3
    52 4.2 6.7
    53 2.6 2.4
    54 9.5 5.2
    55 3.9 5.3
    56 4.1 8.9
    57 5.4 7.4
    58 8.9 4.1
    59 3.6 6.9
    60 9.8 9.0
    61 6.7 2.1
    62 8.3 7.6
    63 8.3 7.6
    64 7.4 5.6
    65 6.6 4.5
    66 7.4 9.1
    67 9.9 8.4
    68 5.4 5.0
    69 8.5 1.2
    70 2.5 4.7
    71 5.9 5.8
    72 3.4 1.5
    73 6.6 9.2
    74 7.9 6.0
    75 8.7 6.1
    76 2.0 8.9
    77 8.6 7.2
    78 8.5 9.7
    79 6.1 3.1
    80 0.7 3.5
    81 3.3 8.2
    82 2.6 7.6
    83 8.0 7.3
    84 7.9 3.2
    85 4.7 8.5
    86 1.6 8.2
    87 6.6 8.9
    88 5.0 1.1
    89 1.5 8.6
    90 8.8 4.2
    91 8.9 9.4
    92 0.5 8.8
    93 1.4 9.2
    94 6.5 6.3
    95 5.1 3.1
    96 2.1 3.6
    97 7.2 1.9
    98 0.9 1.7
    99 7.0 2.2
    100 6.6 4.5
    101 6.9 1.0
    102 4.4 7.8
    103 4.0 6.4
    104 8.9 5.1
    105 1.3 6.4
    106 9.2 4.1
    107 8.4 5.5
    108 4.2 2.2
    109 5.1 8.1
    110 5.9 4.9

    Group B
    subject Day 0 Day 365

    111 4.2 3.7
    112 6.8 8.6
    113 7.3 6.6
    114 9.2 5.1
    115 2.9 6.8
    116 7.5 5.6
    117 0.4 5.0
    118 7.6 7.8
    119 0.9 3.4
    120 7.6 6.5
    121 2.2 4.3
    122 6.6 5.8
    123 8.5 5.8
    124 4.7 6.0
    125 5.9 8.3
    126 3.2 4.2
    127 8.3 9.7
    128 1.8 2.1
    129 3.3 8.3
    130 5.9 5.2
    131 5.8 8.9
    132 6.2 5.2
    133 1.8 3.7
    134 1.2 6.7
    135 8.6 9.8
    136 6.7 9.4
    137 5.4 5.8
    138 1.5 9.6
    139 3.8 9.6
    140 8.6 2.6
    141 6.7 8.6
    142 5.4 6.9
    143 1.5 6.5
    144 3.8 7.8
    145 8.6 2.3
    146 6.7 6.6
    147 5.4 3.3
    148 1.5 2.7
    149 3.7 7.4
    150 8.6 7.1
    151 5.3 6.3
    152 4.3 7.7
    153 2.7 3.4
    154 9.6 6.2
    155 3.9 6.3
    156 4.2 8.9
    157 5.5 8.4
    158 8.9 5.1
    159 3.7 7.9
    160 9.8 9.0
    161 6.8 3.1
    162 8.4 8.6
    163 8.4 8.6
    164 7.5 6.6
    165 6.7 5.5
    166 7.5 9.1
    167 9.9 8.4
    168 5.5 6.0
    169 8.6 2.2
    170 2.6 5.7
    171 5.9 6.8
    172 3.5 2.5
    173 6.7 9.2
    174 7.9 7.0
    175 8.7 7.1
    176 2.3 9.9
    177 8.6 8.2
    178 8.6 9.7
    179 6.2 4.1
    180 0.9 4.5
    181 3.5 9.2
    182 2.6 8.6
    183 8.4 8.3
    184 7.9 3.2
    185 4.7 8.5
    186 1.7 9.2
    187 6.6 9.9
    188 5.3 2.1
    189 1.4 9.6
    190 8.8 5.2
    191 8.9 9.4
    192 0.6 7.8
    193 1.5 9.2
    194 6.8 5.3
    195 5.4 4.1
    196 2.3 4.6
    197 7.5 2.9
    198 0.9 2.7
    199 7.0 3.2
    200 6.3 5.5

    Group C
    subject Day 0 Day 365
    201 7.5 6.6
    202 1.7 6.7
    203 8.6 6.3
    204 5.9 5.1
    205 9.7 1.8
    206 8.0 2.2
    207 3.8 3.9
    208 3.5 4.1
    209 3.8 5.4
    210 7.4 6.2
    211 5.1 2.7
    212 7.7 7.6
    213 8.2 6.6
    214 9.2 4.1
    215 3.9 5.8
    216 6.4 4.6
    217 1.3 4.0
    218 6.5 6.8
    219 1.9 2.4
    220 6.5 5.5
    221 3.1 4.3
    222 5.5 4.8
    223 7.4 4.8
    224 5.6 5.0
    225 6.9 7.3
    226 4.1 3.2
    227 7.2 8.7
    228 2.8 1.1
    229 4.2 8.3
    230 5.9 5.2
    231 5.8 8.9
    232 5.1 4.2
    233 2.8 3.7
    234 2.1 5.7
    235 7.5 9.8
    236 5.6 8.4
    237 5.3 4.8
    238 2.4 9.6
    239 4.7 8.6
    240 7.5 1.6
    241 5.6 7.6
    242 5.3 5.9
    243 2.4 5.5
    244 4.7 6.8
    245 7.5 4.3
    246 5.6 6.6
    247 5.3 3.3
    248 2.4 2.7
    249 4.7 7.4
    250 7.5 6.1
    251 5.2 5.3
    252 5.2 7.7
    253 3.6 2.4
    254 8.5 5.2
    255 4.9 6.3
    256 5.1 8.9
    257 5.4 7.4
    258 7.9 4.1
    259 4.6 6.9
    260 8.8 9.0
    261 5.7 3.1
    262 7.3 7.6
    263 7.3 7.6
    264 7.4 5.6
    265 5.6 4.5
    266 6.4 9.1
    267 8.9 8.4
    268 5.4 5.0
    269 7.5 2.2
    270 3.5 4.7
    271 5.9 5.8
    272 4.4 1.5
    273 5.6 8.2
    274 6.9 5.0
    275 7.7 5.1
    276 3.0 7.9
    277 7.6 6.2
    278 6.5 8.7
    279 6.1 4.1
    280 1.7 4.5
    281 4.3 7.2
    282 3.6 6.6
    283 7.0 6.3
    284 6.9 4.2
    285 5.7 7.5
    286 2.6 7.2
    287 5.6 7.9
    288 5.0 2.1
    289 2.5 7.6
    290 7.8 5.2
    291 7.9 8.4
    292 1.5 7.8
    293 2.4 8.2
    294 5.5 5.3
    295 5.1 4.1
    296 3.1 4.6
    297 6.2 2.9
    298 1.9 2.7
    299 6.0 3.2
    300 5.6 5.5

    Group D
    subject Day 0 Day 365

    301 6.9 2.0
    302 4.4 7.8
    303 4.0 5.4
    304 8.9 5.1
    305 1.3 5.4
    306 9.2 4.1
    307 8.4 5.5
    308 4.2 2.2
    309 5.1 7.1
    310 5.9 4.9
    311 4.2 4.7
    312 6.8 8.6
    313 7.3 5.6
    314 9.2 5.1
    315 2.9 5.8
    316 7.5 5.6
    317 0.4 5.0
    318 7.6 7.8
    319 0.9 4.4
    320 7.6 6.5
    321 2.2 5.3
    322 6.6 5.8
    323 8.5 5.8
    324 4.7 6.0
    325 5.9 7.3
    326 3.2 4.2
    327 8.3 8.7
    328 1.8 2.1
    329 3.3 8.3
    330 5.9 5.2
    331 5.8 7.9
    332 6.2 5.2
    333 1.8 4.7
    334 1.2 6.7
    335 8.6 8.8
    336 6.7 9.4
    337 5.4 5.8
    338 1.5 8.6
    339 3.8 8.6
    340 8.6 2.6
    341 6.7 7.6
    342 5.4 6.9
    343 1.5 5.5
    344 3.8 7.8
    345 8.6 3.3
    346 6.7 6.6
    347 5.4 4.3
    348 1.5 2.7
    349 3.7 6.4
    350 8.6 7.1
    351 5.3 5.3
    352 4.3 7.7
    353 2.7 4.4
    354 9.6 6.2
    355 3.9 5.3
    356 4.2 8.9
    357 5.5 7.4
    358 8.9 5.1
    359 3.7 6.9
    360 9.8 9.0
    361 6.8 4.1
    362 8.4 8.6
    363 8.4 7.6
    364 7.5 6.6
    365 6.7 5.5
    366 7.5 9.1
    367 9.9 7.4
    368 5.5 6.0
    369 8.6 3.2
    370 2.6 5.7
    371 5.9 5.8
    372 3.5 2.5
    373 6.7 8.2
    374 7.9 7.0
    375 8.7 6.1
    376 2.3 9.9
    377 8.6 7.2
    378 8.6 9.7
    379 6.2 5.1
    380 0.9 4.5
    381 3.5 8.2
    382 2.6 8.6
    383 8.4 7.3
    384 7.9 3.2
    385 4.7 7.5
    386 1.7 9.2
    387 6.6 8.9
    388 5.3 2.1
    389 1.4 8.6
    390 8.8 5.2
    391 8.9 8.4
    392 0.6 7.8
    393 1.5 8.2
    394 6.8 5.3
    395 5.4 5.1
    396 2.3 4.6
    397 7.5 3.9
    398 0.9 2.7
    399 7.0 4.2
    400 6.3 5.5

    © BrainMass Inc. brainmass.com June 3, 2020, 5:17 pm ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/statistics-differences-absolute-values-anova-20489

    Attachments

    Solution Preview

    The solution is in Solution.doc

    Optional Extra Credit Project Due June 14

    Good for up to 10 points, depending on how thorough and creative your work is. Please make sure to show me everything in order to receive the greatest benefit.

    Please evaluate the following null hypothesis, and apply the principles of statistical inference as appropriate. The data in this project are composite "heart scores" compiled on Day 0 and Day 365 from individuals divided into 4 groups:

    Group A: low sodium/low potassium diet
    Group B: high sodium/low potassium diet
    Group C: low sodium/high potassium diet
    Group D: high sodium/high potassium diet

    A heart score greater than 8 indicates the existence of serious coronary artery disease.

    Ho: heart score is not affected by the ratio of sodium to potassium in the diet
    (assume alpha = 0.05)

    Group A
    subject Day 0 Day 365
    1 8.5 6.6
    2 0.7 6.7
    3 9.6 7.3
    4 4.9 5.1
    5 9.7 1.8
    6 9.0 1.2
    7 2.8 3.9
    8 2.5 4.1
    9 2.8 6.4
    10 8.4 6.2
    11 4.1 2.7
    12 6.7 8.6
    13 7.2 6.6
    14 9.2 4.1
    15 2.9 6.8
    16 7.4 4.6
    17 0.3 4.0
    18 7.5 7.8
    19 0.9 2.4
    20 7.5 5.5
    21 2.1 3.3
    22 6.5 4.8
    23 8.4 4.8
    24 4.6 5.0
    25 5.9 7.3
    26 3.1 3.2
    27 8.2 9.7
    28 1.8 1.1
    29 3.2 8.3
    30 5.9 4.2
    31 5.8 8.9
    32 6.1 4.2
    33 1.8 2.7
    34 1.1 5.7
    35 8.5 9.8
    36 6.6 9.4
    37 5.3 4.8
    38 1.4 9.6
    39 3.7 9.6
    40 8.5 1.6
    41 6.6 7.6
    42 5.3 5.9
    43 1.4 5.5
    44 3.7 6.8
    45 8.5 1.3
    46 6.6 5.6
    47 5.3 1.3
    48 1.4 1.7
    49 3.7 6.4
    50 8.5 6.1
    51 5.2 5.3
    52 4.2 6.7
    53 2.6 2.4
    54 9.5 5.2
    55 3.9 5.3
    56 4.1 8.9
    57 5.4 7.4
    58 8.9 4.1
    59 3.6 6.9
    60 9.8 9.0
    61 6.7 2.1
    62 8.3 7.6
    63 8.3 7.6
    64 7.4 5.6
    65 6.6 4.5
    66 7.4 9.1
    67 9.9 8.4
    68 5.4 5.0
    69 8.5 1.2
    70 2.5 4.7
    71 5.9 5.8
    72 3.4 1.5
    73 6.6 9.2
    74 7.9 6.0
    75 8.7 6.1
    76 2.0 8.9
    77 8.6 7.2
    78 8.5 9.7
    79 6.1 3.1
    80 0.7 3.5
    ...

    Solution Summary

    The expert evaluates the following null hypothesis, and apply the principles of statistical inference as appropriate. The data in this project are composite "heart scores" compiled on Day 0 and Day 365 from individuals divided into 4 groups:

    $2.19

    ADVERTISEMENT