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Problem 2. (1 point) Sally samples seashells by the seashore. She often finds critters living in the shells and would like to estimate the true proportion of shells that contain critters. Based on a recent walk, she found that 5% of the shells had critters. Use this value to determine the number of shells that Sally should sample in order to get the width of her 93% confidence interval for the true proportion to be less than 5% Number of Shells = hs Problem 3. 6 points) Bun the following lines in -3 C Sunny Search acer ESC F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 PAS Echapp. Break Arretder SysRalProblem 11. (2 points) Are the following statements True or False? ? |1. The sample mean is a population parameter and that's why we need the Central Limit Theorem. ? | 2. The two conditions for the Central Limit Theorem are that the observations are independent and also must come from a Normal distribution. 3. The Central Limit Theorem states that the sample mean is approximately normally distributed. ? 4. The Central Limit Theorem provides a better (more reliable) approximation as the sample size increases Note: You can earn 25% partial credit for each correct answer. -3"C Search Sunny acer ESC F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 Prisc Del Echapp. 7z E3- Arretdef SysRa/Sys Breaks Insert A 2 5 O 3 O W F R Caps Lock A S D F G HProblem 9 (3 points) A jar contains 22 green jelly beans and 11 orange jelly beans. a. You take one jelly bean out of the jar without looking. What is the probability that it is green? Probability = b. After putting the jelly bean back in a), you eat two jelly beans from the jar. What is the probability that both were green? Probability = Note: You can earn partial credit on this problem. 3 C O Search Sunny acer R ESC F1 F2 F3 F4 F5 F6 F7 F8 F9 F10Problem 7. Remaining time: 189:57 (min sec) (4 points) The average life span in Ontario in 2009 was 81.3 years. A random sample of 17 obituaries from newspapers in Ontario showed T - 82.5 and s - 2.6. If lifespan is assumed to be normally distributed, does this sample provide sufficient evidence to support that the average lifespan in Ontario has increased at the 1% significance level. A. What are the null and alternative hypotheses? (Type "mu" for the symbol , "xbar" for the symbol , "p" for the symbol p, or "phat" for the symbol p, e.g. mu > 0.5 for the mean is greater than 0.5, xbar 30 observations O L. heteroskedasticity M. None of the above prev -3'C Search Sunny acer