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Thread: Making a Hypothesis test for independent and dependent variables

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    Post Making a Hypothesis test for independent and dependent variables




    Hello
    I have trouble on making the hypothesis test(especially making a Null hypothesis), I have tried all the calculating process but still confuse about choosing a Null statement.In more details, I don't understand the word "test the hypothesis for mean"
    Assuming the population standard deviation is unknown, our sample size is n=31 so by CLT it is normally distributed, the question is :
    "By selecting the same significance level(α=0.05) which you used in report 2 (for building confidence intervals) test the hypothesis for mean for both (independent and dependent) the variables by doing the following:
    State the null and alternative hypothesis for independent and dependent variables,
    Find the test statistic.
    Determine critical value or p-value,
    Find the decision, conclusion, possible error
    Explain the meaning of this error in the context of the problem, and how to minimize this error."
    The research I Choose is to research about the relationship between the time of self-study and academic performance in Business Statistics among RMIT students in Hanoi campus.
    By survey, I have the 2 dependent and independent variables data are :
    Time (minutes)
    180
    120
    180
    180
    300
    40
    60
    120
    60
    0
    320
    30
    120
    120
    90
    400
    30
    480
    200
    90
    135
    180
    180
    200
    200
    150
    30
    150
    260
    900
    30
    Score
    14
    17.5
    16
    16
    14.75
    17
    14
    20
    12.5
    16
    16.5
    13
    14
    19
    11
    16
    16
    15
    16
    15
    15
    15.5
    15.5
    14.5
    16.5
    15
    16
    14.5
    17.5
    19
    11.5
    The lecturer said that I can do the test without getting T or Z value from calculating regression and 1 tail or 2 tails is on my own, and for the mean of the population(μ) I could choose what ever from the interval range of 114.89 ≤μ≤ 242.21(time) and 14.74 ≤μ≤ 16.21(score) to do the test
    further data :
    Time
    Mean:178.5483871
    Standard Error:31.17001036
    Median:150
    Mode:180
    Standard Deviation:173.5472729
    Sample Variance:30118.65591
    Kurtosis:9.520116329
    Skewness:2.67114606
    Range:900
    Minimum:0
    Maximum:900
    Sum:5535
    Count:31
    Confidence Level(95.0%):63.65765361
    Lower Value
    178.5483871 - 63.65765361 = 114.8907335
    Higher Value
    178.5483871 + 63.65765361 = 242.2060407
    Score
    Mean:15.47580645
    Standard Error:0.360024424
    Median:15.5
    Mode:16
    Standard Deviation:2.004531157
    Sample Variance:4.018145161
    Kurtosis:0.591533637
    Skewness:-0.012927699
    Range:9
    Minimum:11
    Maximum:20
    Sum:479.75
    Count:31
    Confidence Level(95.0%):0.735267965
    Lower Value
    15.47580645 - 0.735267965 = 14.74053849
    Higher Value
    15.47580645 + 0.735267965 = 16.21107442
    Please Help me, thanks you.
    Attached Files
    Last edited by minhpro2611997; 09-04-2017 at 09:44 AM.

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