In: Statistics and Probability
Personnel in a consumer testing laboratory are evaluating the absorbency of paper towels. They wish to compare a set of Walmart generic brand towels to similar group of BOUNTY name brand towels. For each brand they dip one towel into a tub of fluid, allow the paper to drain back into the vat for two minutes, and then determine the amount of liquid the paper has taken up from the vat. A random sample of 9 Walmart generic brand towels has a mean of 6.44 milliliters with a standard deviation of 3.32 milliliters. A random sample of 12 Bounty Brand towels hand sample mean of 9.42 milliliters with a standard deviation of 1.621 milliliters. Use the .10 significance to test if there is a difference in the mean amount of liquid absorbed by the two paper towels. Assume the population standard deviations are not equal.
1. State the Null and Alternate Hypothesis(H0, H1).
2. Determine the level of significance.
3. Determine the test statistic. (z or t)
4. State the decision rule.(Reject H0 if)
5. Conduct the test and make a decision.(Include Test Statistic For No Difference In Means, Unequal Variances Formula and Degrees Of Freedom For Unequal Variance Test Formula and show all work)
6. Interpret the results.
"PLEASE BREAK THE INFORMATION DOWN USING THE FORMULAS AND SHOW ALL WORK WITH THE CORRECT ANSWERS IN EACH STEP."
Thank you so much!