Check Requirements What sampling distribution will you use? What assumptions are you making? What is the value of the sample test statistic?

Wierzycaz

Wierzycaz

Answered question

2021-02-02

Check Requirements What sampling distribution will you use? What assumptions are you making? What is the value of the sample test statistic?

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-02-03Added 109 answers

Calculation: We used the chi-square distribution to test the hypotheses. Assuming that, it is normal population distribution.
The population standard deviation, σ2=0.552=0.3025, with sample size, n=10.
The sample standard deviation s of x, can be calculated by using Excel as follows:
Step 1: Enter data of x1 in cell A1 to A10.
Step 2: Use command STDEV(A1:A10).
Therefore, the obtained sample standard deviation s0.602
The chi-square test statistic is calculating as:
x2=(n1)s2σ2=(101)(0.602)20.552=10.78
Degrees of fredom for x2 is (n1)
d.f=n1
=101=9
Conclusion:Assume the normal population distribution. x2 statistic 10.78 with 9 degrees of freedom.

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