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Researchers investigated various physical characteristics certain area. In one part of the study (involving weight at metamorphosis). a sample of 45 female stoneflies yielded a sample mean weight of 158.7 mg. with an assocnated 95% confidence interval of 147.6'to 169.8 mg\" Suppose the assumptions of the procedure they used were met. 0f the following options, which one is the best interpretation of that interval? of a type of stonefly in a Q We can be 95% confident that the sample mean weig. .. of the 45 female stoneflies lies between 147.6 and 169.8 mg 0 95% of this population of female stoneflies have a weight at metamorphosis between 147.6 and 169.8 mg. 0 ln repeated sampling, 95% of the 95% confidence intervals calculated in this manner will capture the mean weight at metamorphosis of the female stoneflies in the sample. 0 We can be 95% confident that the true mean weight of female stoneies in this population lies between 147.6 and 169.8 mg. Consider the following probability distribution for a random variable X. X 1 8 11 p(x) 0.10 0.50 ? where the question mark represents a missing probability. Find the missing probability, then find the variance of the random variable X. What is the variance of X? (Give your response to at least 3 decimal places. Include only the numeric response, and not any extra characters or symbols.) Your Answer: Your AnswerQuestion Suppose we have a sample of 4 observations. All of the values lie between 0 and 35 (inclusive, and repeats are allowed). What is the largest possible value of the variance? [Give your response to at least 3 decimal places. Give only the number, and do not include any extra characters or symbols.] Your