Assume the petal length of a population of plants of species A is normally distributed with a mean of μ=3.5 cm and a standard deviation of σ=0.5 cm. If you draw two plants from species A and find that both petal lengths are 5 cm long, would you be suspicious of the claim of a mean of 3.5 cm? Explain with a probability argument. (use formula to calculate first, then use SAS function to calculate the probabilities)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Assume the petal length of a population of plants of species A is normally distributed with a mean of μ=3.5 cm and a standard deviation of σ=0.5 cm.

If you draw two plants from species A and find that both petal lengths are 5 cm long, would you be suspicious of the claim of a mean of 3.5 cm? Explain with a probability argument. (use formula to calculate first, then use SAS function to calculate the probabilities)

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