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Answer:
x = 8.5
Step-by-step explanation:
In this question, we are to calculate the value of x.
To calculate this, we shall be utilizing one of the important properties of parallelogram.
This property is that opposite angles of a parallelogram are equal.
This means that mQSR = mSPQ = 4x + 90
Now to finally calculate x, we make use of another important parallelogram property which is that angles of parallelogram which faces each other are supplementary.
This means that they add up to be 180
Since mQSR faces mQRS
This means that;
4x + 90 + 9x -20 = 180
13x + 70 = 180
13x = 110
x = 110/13 which is approximately 8.5
From the question, we know the population standard deviation, σ = 1.63, the sample standard deviation, s = 3.07, the sample mean, 
and the sample size, n = 38.
The question illustrates a hypothesis chi-square test of variance.
The test statistics for a Chi-squared test of variance is given by
The question illustrates a hypothesis chi-square test of variance.
The test statistics for a Chi-squared test of variance is given by