PLEASE ANSWER Q5-9 WITH EXPLANATION WOULD BE EXTREMELY HELPFUL THANK YOU A LOT

5. In Mendelian genetics, hybridization experiments are conducted with the assump- tion that for offspring peas, there is a 0.75 probability that a pea has green pods independently of each other. Offspring peas are randomly selected in groups of 10. Use the Range Rule of Thumb to determine whether 4 peas with green pods is a significantly low outcome. (10 points) 6. In a given hospital, the birth weights of baby girls are modeled using a normal distribution with a mean of 7.2 pounds and a standard deviation of 0.9 pounds. On a randomly selected night, 34 baby girls are delivered and the sample mean of birth weights is 6.7 pounds. Is this within one standard deviation of the sampling distribution expected value ux? Show your reasoning. (10 points) 7. The FDA specfies guidelines for safe consumption of fish and states that mercury in fish should be below 1 part per million (ppm). The table below contains a sample of mercury ppm in tuna sushi from different stores in New York City. Construct a 98% confidence interval estimate for the mean amount of mercury in the population. Does it appear that there is too much mercury in tuna sushi? (10 points) 0.56 0.75 0.10 0.95 1.25 0.54 0.88 Table 4: Random sample of mercury concentrations in fish 8. An investor is considering funding of a new video game. She wants to know the worldwide percentage of people who play RPGs, so a survey is being planned. How many people must be surveyed in order to be 90% confident that the estimated per- centage is within three percentage points of the true population percentage? Assume p = 0.50 for a conservative estimate. (10 points) 9. In an exploratory study of earthquake depths, a sample of 600 recorded earthquakes is taken, where it is found that the sample mean i of depths is 5.82 km and the sample standard deviation is 4.93 km. A seismologist wishes to test a claim that the earthquakes come from a population with a mean depth of 5.00 km. Perform a hypothesis test on this claim using a 0.01 level of significance. Be sure to clearly state the hypotheses, the testing procedure that is relevant and how you know that you are allowed to use it, and include a formal conclusion. (10 points) rages