Explain what the phrase 95 confident means when we interpret a 95 confidence interval for .
A) 95 of similarly constructed intervals would contain the value of the sampled mean.
B) 95 of the observations in the population fall within the bounds of the calculated interval.
C) The probability that the sample mean falls in the calculated interval is 0.95.
D) In repeated sampling, 95 of similarly constructed intervals contain the value of the population mean.
Question 2
A machine is set to pump cleanser into a process at the rate of 5 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 4.5 to 7.5 gallons per minute. Find the probability that between 5.0 gallons and 6.0 gallons are pumped during a randomly selected minute.
A) 0.67 B) 0 C) 1 D) 0.33
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Please fully explain the answer with steps