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    Statistics - All Topics

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    I need help with this problem. I already know the answer. I am confused between the lectures, textbook, and work text. Can you show me, the old fashioned way (not Excel, SPSS or any other software to generate the answer), I need the formulas to show how to come up with the correct answer?

    Here is the problem:

    An experiment was performed to measure the effect of sleep deprivation on cognitive performance. twenty college juniors were randomly selected from a group of volunteers and arbitrarily assigned either to a sleep deprivation group or to a control group. The participants in the sleep deprivation group were kept awake for 24 hours; the members of the control group had a normal night's sleep. Participants were then asked to perform a simple mental arithmetic task, and the time it took each participant to complete the task was recorded. The results were as follows:

    Sleep Deprivation Group
    (Time in seconds)
    10
    15
    13
    5
    27
    7
    16
    20
    21
    13

    Control Group
    (No sleep deprivation)
    (Time in seconds)
    13
    8
    14
    11
    8
    7
    2
    2
    17
    5

    Determine whether or not the groups differ significantly. if you reject the null hypothesis, tell what it means in the context o the problem. Give the table values for significance.

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    https://brainmass.com/statistics/hypothesis-testing/statistics-all-topics-211379

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