The manufacturers for the replacement machine claim that it has a variance of no

Question

The manufacturers for the replacement machine claim that it has a variance of no more than 0.3. Test to see if there is sufficient evidence to suggest that the variance of the replacement machine exceeds this value using a significance level of 0.05.

Please enter:

A. The observed value of the test statistic:

B. The critical value for the test statistic

C. What is your conclusion based on the results of the previous questions?

D. Is there sufficient evidence to suggest that the replacement machine is more accurate (i.e., has lower variability) than the existing machine using a significance level of 0.05?

Please enter:

The observed value of the test statistic:

The critical value for the test statistic:

Thanks in advance for you help!!!

A company is replacing an existing machine with a more expensive option that claims to be more accurate (i.e has a lower variability). A random sample was taken from both machines and the following values were observed Mean Variance Sample size Existing Machine 7.53 0.50 10 Replacement 7.96 0.46 20 Consider this when answering the following questions:

Explanation / Answer

A)

Test statistics T = (N-1)* 0.46/0.3 = 19* 0.46/0.3 = 29.133

B)

Critical value of test statistics fordegrees of freedom = 20 - 1 = 19 at 0.05 significance level

X2crit (0.05) (19) = 10.117

C)

This is left tailed test.

As calculated test statistics is greater than critical value of F, we fail to reject the null hypothesis.

D)

There are not sufficient evidence to conclude that the replacement machine is more accurate than existing machine.

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