Question

Please answer questions 3 & 4. Please show work and formulas for solution

3, A study showed that 64% of supermarket shoppers believed supermarket brands to be as good as national name brands in terms of product quality. 200 supermarket shoppers were sampled and 125 indicated that the supermarket brand was as good as the national name brand. Using a .05 level of significance, is there evidence that the proportion is lower than 64%? Perform the appropriate hypothesis test and explain your decision 4. The average time for pain-relief tablets to dissolve affects the time before they reduce pain. An experiment was conducted in which the tablets were placed in a glass of water and the time to dissolve (in seconds) was recorded. The results are shown below Cold Cold Cold Cold Hot Hot Hot Hot Temperature Equate Kroger Alka-Seltzer 100.11 99.65 100.83 94.16 23.80 21.29 20.82 23.21 85.87 75.98 78.69 87.66 76.42 85.71 74.4386.31 21.53 24.10 26.26 25.83 24.9526.32 21.52 22.91 a. b. c. d. e. Is there an interaction between the brand of pain reliever and water temperature? Is there an effect due to brand? Is there an effect due to water temperature? Plot the mean dissolving time for each brand for each water temperature Explain your results