In a genetics lab, 25 fruit flies were sampled for the amount of time it takes for them to mature into fully grown adult flies. The test showed an average time of 18.5 days for this to happen. If the data follows a normal distribution with a standard deviation of 59 hours, find the 90% confidence interva for the true mean of the dataset. (Hint: Make sure that the unit of measurements are the same for the given parameters) What distribution is used in constructing confidence intervals in this problem? [ Select ] What is Maximal Margin of Error (E) at 90% confidence? [ Select ] Construct a 90% confidence interval [ Select ]
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![In a genetics lab, 25 fruit flies were sampled for the amount of time it takes for them to mature into
fully grown adult flies. The test showed an average time of 18.5 days for this to happen. If the data
follows a normal distribution with a standard deviation of 59 hours, find the 90% confidence interval
for the true mean of the dataset. (Hint: Make sure that the unit of measurements are the same for
the given parameters)
What distribution is used in constructing confidence intervals in this problem?
[ Select ]
What is Maximal Margin of Error (E) at 90% confidence? [ Select ]
Construct a 90% confidence interval
[ Select ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3490d40f-6b5d-4a9b-bdbf-3d32598eb0f8%2Fd99e8798-27ad-47c9-a9bd-5ac6845cb2e4%2Fulzwbhg_processed.png&w=3840&q=75)
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