The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance. Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for the two machines. Use a level of significance. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improvements? Click on the datafile logo to reference the data. (to 4 decimals) (to 4 decimals) (to 2 decimals) - Select your answer -

There is a sufficient evidence to support the that machine 1 has the greater variance.

Step-by-step explanation:

The question with the complete details can be found online.

Start by stating the hypotheses.

The null hypothesis states that the variance of machine 1 is less than or equal to machine 2

So, we have:

The alternate hypothesis will then be:

So, we have:

Calculate the mean of Machine 1 and 2

The mean is:

For machine 1, we have:

For machine 2, we have:

Calculate the standard deviation of both machines

The standard deviation is:

For machine 1, we have:

For machine 2, we have:

Calculate the degrees of freedom

For machine 1;

For machine 2

Calculate the test statistic (t)

Rewrite in terms of standard deviation

Lastly, calculate the p value.

This is the value of P(t > 8.2881) between the degrees of freedom i.e. 21 and 24

From the f distribution table

Hence, we reject the null hypothesis

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

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step-by-step explanation:

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