Question

25 please

25) The quality engineer at a paint manufacturer conducted a hypothesis test to test the claim 25) that the mean volume of paint cans had changed after an adjustment in the manufacturinyg process. Mean volume in paint cans before the adjustment was 1.02 gallons. Assume that all conditions for testing have been met. She used technology to complete the hypothesis test. Following is the null and alternative hypothesis and the output from her graphing calculator Ho: ?-1 .02 gallons Ha: ? z 1.02 gallons T-Test ? 1.02 -5.89255651 .97 50 P 3.4248373 E -7 Write a statement explaining what her decision regarding the null hypothesis should be and a statement summarizing her conclusion regarding the claim that average volume of paint cans had changed. Has the adjustment in the manufacturing process changed the average volume of paint cans? e whether the situation has denendent or indenendent samples. A researcher w

Answer 1

Fom technology output we get :

The test statistic is

t = -5.89255651

The p value = 0.00000034248373

Here p value < $\alpha (0.05)$

Hence the null hypothesis is rejected.

Conclusion : The adjustment in the manufacturing process has changed the average volume of the paint cans.