Two machines are used to fill 50 lb bags of litter. A sample of 50 bags is selected from machine 1 (sample 1) and weighed. The average weight of the bags of litter from this sample was 49 pounds with a standard deviation of 12. A sample of 54 bags is selected from machine 2 and weighed. The average weight of the bags of litter from this sample was 52 pounds with a standard deviation of 11 pounds.

Conduct a hypothesis test at a .05 significance level, to test if the average weight of the bags of litter is significantly different between the 2 machines.

The alternative hypothesis is . Enter a, b, or c in the box.

a. ₁ > ₂

b. ₁ < ₂

c. _{1 2}

What is the estimate of (₁ - ₂) ?

Two machines are used to fill 50 lb bags of litter. A sample of 50 bags is selected from machine 1 (sample 1) and weighed. The average weight of the bags of litter from this sample was 49 pounds with a standard deviation of 12. A sample of 54 bags is selected from machine 2 and weighed. The average weight of the bags of litter from this sample was 52 pounds with a standard deviation of 11 pounds.

Conduct a hypothesis test at a .05 significance level, to test if the average weight of the bags of litter is significantly different between the 2 machines.

Calculate the value of the test statistic. Do not round the numerator or the denominator when calculating this value. Round the final answer to the hundredths place.z=______

Conclusion: Do not reject the null hypothesis.

There is not enough evidence toclaim the ₁ is significantly different than ₂. There is not sufficient sample evidence to claim that the average weight of 50 pound bags of litter is significantly different between the two filling machines.