# Thread: Making a Hypothesis test for independent and dependent variables

1. ## 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

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