A doctor is interested in people who have experienced an unexplained episode of vitamin D intoxication. She took a SRS of size 12 from the people who have experienced an unexplained episode of vitamin D intoxication and measured the calcium level in mmol/l in each individual. The sample mean is x = 2.87 mmol/l. Assume that the distribution of the calcium level of people with an unexplained episode of vitamin D intoxication is normally distributed with standard deviation of σ = 0.40.(a) Calculate a 99% confidence interval for μ = the true mean calcium level of the population of people who experienced an unexplained episode of vitamin D intoxication.

Answer question above and explain each step : )

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

Write the slope intercept equation for line ab.