MA 2025 MOD 6 ASSN

Module 6 Minitab Assignment 1. According to the CDC, the recommended fluoride concentration in drinking water is 0.7 milligrams of fluoride per liter of water. An advocacy group believes the fluoride concentration in the water in their community is under the recommended concentration. A random sample of 175 water samples are tested and found to have a mean of 0.68 milligrams of fluoride per liter of water and a standard deviation of 0.09. a. State the null and alternative hypothesis. b. What type of test will be performed? (Right tail, left tail, two tail) c. State the test statistic and p-value. Give at least 4 decimal places for each value. d. At 𝛼 = 0.05, what is your decision? Do you reject or fail to reject the null hypothesis? e. State your conclusion. 2. A local community is voting on a proposed new building project. The project will proceed if it receives at least 70% approval. A preliminary survey conducted on a random sample of 400 residents found that 294 people are in favor of the project. The city council wants to determine if the true proportion of residents who support the project is significantly more than 70%. Using a significance level of α=0.05 perform a hypothesis test to evaluate the council’s concern. a. State the null and alternative hypothesis. b. What type of test will be performed? (Right tail, left tail, two tail) c. State the test statistic and p-value. d. At 𝛼 = 0.05, what is your decision? Do you reject or fail to reject the null hypothesis? e. State your conclusion. 3. The mean monthly weight loss for 64 males taking a weight loss drug was 5.3 pounds with a standard deviation of 0.8 pounds. The mean monthly weight loss for 61 females taking the same weight loss drug was 5.1 pounds with a standard deviation of 1.1 pounds. At the 1% significance level, can you reject the claim that males and females have equal weight loss averages on the medication? a. State the null and alternative hypothesis. b. What type of test will be performed? (Right tail, left tail, two tail) c. State the test statistic and p-value. d. What is your decision? Do you reject or fail to reject the null hypothesis? e. State your conclusion.