Wierzycaz

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?

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,${\sigma}^{2}={0.55}^{2}=0.3025$ , 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$s\approx 0.602$

The chi-square test statistic is calculating as:

${x}^{2}=\frac{(n-1){s}^{2}}{{\sigma}^{2}}=\frac{(10-1)(0.602{)}^{2}}{{0.55}^{2}}=10.78$

Degrees of fredom for${x}^{2}\text{}is\text{}(n-1)$

$d.f=n-1$

$=10-1=9$

Conclusion:Assume the normal population distribution.${x}^{2}$ statistic 10.78 with 9 degrees of freedom.

The population standard deviation,

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

The chi-square test statistic is calculating as:

Degrees of fredom for

Conclusion:Assume the normal population distribution.