The production line for Colgate toothpaste is designed to fill tubes with a mean of 6 oz. A sample of 30 tubes will be selected to check the filling process. Assume that the sample had a mean of 6.1 oz and a standard deviation of 0.2 oz. We want to perform a hypothesis test at the 0.05 level of significance to help determine if the filling process should continue or if the machine needs to be corrected. We get the following hypotheses: H 0 μ = 6 H a μ ≠ 6 We got a P-value of 0.0104. Which of the following is a valid conclusion?
A. There is not sufficient sample evidence to support the claim that the true mean weight, in ounces, of all Colgate toothpaste tubes equals 6 oz.
B. There is sufficient sample evidence to support the claim that the true mean weight, in ounces, of all Colgate toothpaste tubes is not 6 oz.
C. There is not sufficient sample evidence to reject the claim that that the true mean weight, in ounces, of all Colgate toothpaste tubes equals 6 oz.
D. There is sufficient sample evidence to support the claim that the true mean weight, in ounces, of all Colgate toothpaste tubes equals 6 oz.