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    Sample Size of Purchase Amounts

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    Purchase Amounts for all Customers Shopping at a Local Supermarket on a Given Friday

    Customer Amount
    1 $35.97
    2 $52.23
    3 $93.08
    4 $2.90
    5 $91.13
    6 $150.69 4. Problem 4 contains data of the amount that customers spend in a supermarket on a specific Friday. Assume this data represents the population.
    7 $75.76
    8 $95.74 a. What sample size would be required to be 95% sure that the estimate is within + $10?
    9 $79.33 b. How would the sample size value change for a one sided interval (+$10)
    10 $36.69 c. Use the data from the first 30 customer to create a sample n = 30. What is the 95% confidence interval for this sample data?
    11 $278.50 d. What is a generic 95% confidence interval for any sample n=30?
    12 $82.54
    13 $58.93
    14 $131.56
    15 $106.52
    16 $215.11
    17 $3.42
    18 $0.42
    19 $71.01
    20 $97.99
    21 $110.10
    22 $289.33
    23 $48.02
    24 $1.60
    25 $45.05
    26 $305.44
    27 $157.87
    28 $26.89
    29 $16.44
    30 $37.69
    31 $146.98
    32 $31.96
    33 $101.57
    34 $12.06
    35 $50.92
    36 $117.43
    37 $184.54
    38 $62.78
    39 $154.01
    40 $91.97
    41 $139.55
    42 $285.63
    43 $12.73
    44 $179.99
    45 $34.72
    46 $132.84
    47 $38.56
    48 $51.41
    49 $85.59
    50 $139.34
    51 $239.40
    52 $5.10
    53 $172.15
    54 $136.67
    55 $222.74
    56 $138.40
    57 $140.38
    58 $23.91
    59 $17.88
    60 $153.83
    61 $146.55
    62 $52.36
    63 $150.43
    64 $141.97
    65 $29.67
    66 $280.48
    67 $54.16
    68 $101.26
    69 $26.56
    70 $32.16
    71 $151.86
    72 $158.88
    73 $111.91
    74 $109.35
    75 $61.69
    76 $48.12
    77 $247.15
    78 $105.98
    79 $119.42
    80 $107.41
    81 $163.28
    82 $184.66
    83 $147.16
    84 $46.01
    85 $60.68
    86 $24.19
    87 $187.94
    88 $37.38
    89 $70.05
    90 $42.18
    91 $68.57
    92 $76.19
    93 $50.72
    94 $160.46
    95 $13.94
    96 $93.98
    97 $80.04
    98 $109.65
    99 $21.57
    100 $112.20
    101 $110.89
    102 $68.21
    103 $87.25
    104 $40.76
    105 $61.76
    106 $240.38
    107 $29.35
    108 $102.58
    109 $222.16
    110 $169.74
    111 $11.32
    112 $17.30
    113 $28.99
    114 $52.03
    115 $203.83
    116 $80.59
    117 $295.70
    118 $40.85
    119 $86.88
    120 $38.21
    121 $65.35
    122 $228.90
    123 $23.50
    124 $210.61
    125 $65.90
    126 $84.68
    127 $66.71
    128 $108.78
    129 $86.24
    130 $312.29
    131 $47.99
    132 $167.38
    133 $79.78
    134 $154.43
    135 $40.79
    136 $9.02
    137 $6.80
    138 $76.07
    139 $308.86
    140 $35.48
    141 $6.35
    142 $136.21
    143 $43.08
    144 $43.19
    145 $33.57
    146 $11.70
    147 $13.61
    148 $86.46
    149 $13.28
    150 $14.85
    151 $57.43
    152 $54.08
    153 $51.88
    154 $217.07
    155 $25.68
    156 $18.45
    157 $24.95
    158 $33.05
    159 $58.46
    160 $40.03
    161 $37.67
    162 $66.44
    163 $215.24
    164 $66.53
    165 $77.99
    166 $20.73
    167 $44.95
    168 $160.72
    169 $31.63
    170 $263.41
    171 $169.65
    172 $41.39
    173 $22.64
    174 $113.86
    175 $62.13
    176 $89.41
    177 $9.07
    178 $22.87
    179 $23.31
    180 $83.42
    181 $16.48
    182 $32.46
    183 $113.46
    184 $181.54
    185 $16.16
    186 $294.98
    187 $100.41
    188 $97.79
    189 $20.55
    190 $36.51
    191 $72.58
    192 $15.75
    193 $205.93
    194 $18.60
    195 $52.18
    196 $99.29
    197 $6.41
    198 $53.78
    199 $226.38
    200 $178.51
    201 $8.18
    202 $142.63
    203 $127.50
    204 $64.80
    205 $143.14
    206 $133.78
    207 $59.85
    208 $185.79
    209 $111.94
    210 $59.02
    211 $236.52
    212 $41.30
    213 $66.62
    214 $23.03
    215 $174.76
    216 $6.67
    217 $38.85
    218 $38.98
    219 $174.38
    220 $65.61
    221 $129.06
    222 $204.94
    223 $138.72
    224 $129.99
    225 $11.83
    226 $53.43
    227 $131.80
    228 $0.34
    229 $179.28
    230 $89.40
    231 $146.70
    232 $30.76
    233 $31.93
    234 $94.46
    235 $219.50
    236 $8.62
    237 $116.98
    238 $21.38
    239 $242.18
    240 $9.89
    241 $76.22
    242 $271.54
    243 $211.69
    244 $28.70
    245 $55.21
    246 $33.21
    247 $47.70
    248 $38.22
    249 $33.61
    250 $243.79
    251 $148.22
    252 $233.69
    253 $163.64
    254 $156.91
    255 $130.28
    256 $101.21
    257 $20.36
    258 $159.02
    259 $47.07
    260 $263.21
    261 $50.36
    262 $23.12
    263 $28.60
    264 $39.07
    265 $258.73
    266 $3.35
    267 $13.12
    268 $183.31
    269 $111.27
    270 $233.97
    271 $72.97
    272 $63.20
    273 $155.24
    274 $30.81
    275 $28.90
    276 $79.75
    277 $109.19
    278 $247.41
    279 $58.26
    280 $7.25
    281 $270.10
    282 $56.11
    283 $15.70
    284 $14.86
    285 $163.97
    286 $8.14
    287 $186.56
    288 $63.63
    289 $203.61
    290 $166.87
    291 $82.82
    292 $108.59
    293 $33.19
    294 $219.79
    295 $29.53
    296 $88.11
    297 $149.30
    298 $1.30
    299 $16.70
    300 $23.45
    301 $63.32
    302 $6.12
    303 $70.13
    304 $26.82
    305 $144.19
    306 $30.42
    307 $63.91
    308 $172.26
    309 $119.11
    310 $19.05
    311 $37.87
    312 $145.39
    313 $16.52
    314 $60.39
    315 $12.91
    316 $53.27
    317 $296.90
    318 $61.59
    319 $117.45
    320 $54.53
    321 $211.74
    322 $204.18
    323 $7.41
    324 $239.72
    325 $43.83
    326 $154.09
    327 $15.49
    328 $35.93
    329 $11.29
    330 $26.35
    331 $64.30
    332 $212.53
    333 $21.49
    334 $98.76
    335 $96.21
    336 $29.30
    337 $185.18
    338 $33.02
    339 $87.37
    340 $116.38
    341 $102.39
    342 $234.61
    343 $75.76
    344 $81.68
    345 $42.83
    346 $33.06
    347 $76.39
    348 $94.10
    349 $26.09
    350 $27.07
    351 $74.20
    352 $73.99
    353 $89.97
    354 $173.32
    355 $28.53
    356 $91.30
    357 $64.77
    358 $5.35
    359 $14.89
    360 $49.55
    361 $7.87
    362 $17.18
    363 $207.41
    364 $76.41
    365 $86.16
    366 $52.95
    367 $33.13
    368 $24.96
    369 $1.51
    370 $53.93
    371 $60.02
    372 $184.81
    373 $107.41
    374 $128.61
    375 $138.17
    376 $12.63
    377 $301.14
    378 $89.13
    379 $226.55
    380 $83.96
    381 $16.39
    382 $94.31
    383 $67.88
    384 $18.75
    385 $21.36
    386 $150.07
    387 $39.23
    388 $66.17
    389 $21.85
    390 $52.15
    391 $82.25
    392 $3.59
    393 $44.45
    394 $175.12
    395 $13.96
    396 $85.40
    397 $142.22
    398 $1.45
    399 $23.84
    400 $105.40
    401 $107.17
    402 $116.65
    403 $187.45
    404 $63.87
    405 $4.39
    406 $74.53
    407 $54.06
    408 $29.96
    409 $46.88
    410 $43.05
    411 $28.07
    412 $9.07
    413 $57.44
    414 $38.11
    415 $154.94
    416 $5.66
    417 $51.03
    418 $35.12
    419 $63.24
    420 $47.25
    421 $78.62
    422 $33.34
    423 $34.53
    424 $40.38
    425 $46.41
    426 $41.40
    427 $19.01
    428 $218.19
    429 $15.42
    430 $3.27

    © BrainMass Inc. brainmass.com June 3, 2020, 11:21 pm ad1c9bdddf
    https://brainmass.com/statistics/hypothesis-testing/sample-size-274938

    Attachments

    Solution Preview

    See the attached file. Thanks. Hope this will help.

    4. Problem 4 (P4 on the Exam template) contains data of the amount that customers spend in a supermarket on a specific Friday. Assume this data represents the population. (20 points)

    a. What sample size would be required to be 95% sure that the estimate is within + $10?
    First calculate the Standard deviation of the population
    Standard Deviation $73.85
    The get the value ...

    Solution Summary

    The solution examines the sample size for purchase amounts for shopping at a local supermarket.

    $2.19

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