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    z-score of employees

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    Your boss has determined that on Wednesday, 5 random employees on the line to have a chance to obtain a $25 bonus if they produce more XT34's than 84% of all other employees on the line. Therefore, randomly choose five workers from the sample and determine if they will get a bonus. hint u will need to use a z-score.
    employee#/ number produced
    1-51
    2-174
    3-123
    4-186
    5-122
    6-150
    7-170
    8-96
    9-190
    10-52
    11-155
    12-165
    13-182
    14-101
    15-94
    16-93
    17-119
    18-183
    19-126
    20-133
    21-112
    22-143
    23-117
    24-96
    25-135
    26-57
    27-118
    28-190
    29-182
    30-156
    31-94
    32-124
    33-131
    34-105
    35-157
    36-146
    37-127
    38-112
    39-65
    40-118
    Please tell the following of the employees you randomly picked

    Employee ID, the z-score and if each of the five will recieve a bonus

    © BrainMass Inc. brainmass.com December 24, 2021, 5:09 pm ad1c9bdddf
    https://brainmass.com/statistics/z-test/score-employees-31624

    SOLUTION This solution is FREE courtesy of BrainMass!

    To determine whether the five employees you choose will receive the bonus, you will need to compute a z score. For this, you will need to calculate the mean (average) number produced of the five employees you choose, and the average number produced by and the variance of the entire group. Using these, you can calculate your 'observed' z score. Once you have that, you can compare it to the 'critical' z score corresponding to .84 (for the 84%), and determine whether it falls outside the range, (if it does, that would indicate that they produce more than the other 84%, and should get their bonus). Remember, on your z table, the cutoff is the point below which that percentage of scores fall. So you need to look up an area of .84 (or .34 if you're just looking from the mean to z) in your z table to find that critical value.

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

    © BrainMass Inc. brainmass.com December 24, 2021, 5:09 pm ad1c9bdddf>
    https://brainmass.com/statistics/z-test/score-employees-31624

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