1-Bass – Samples: The bass in Clear Lake have weights that are normally distributed with a mean of 1.9 pounds and a standard deviation of 0.9 pounds.
(a) If you catch 3 random bass from Clear Lake, find the probability that the mean weight is less than 1.0 pound. Round your answer to 4 decimal places.
(b) If you catch 3 random bass from Clear Lake, find the probability that the mean weight it is more than 3 pounds. Round your answer to 4 decimal places.
2-The bass in Clear Lake have weights that are normally distributed with a mean of 2.1 pounds and a standard deviation of 0.6 pounds.
What percentage of all randomly caught groups of 3 bass should weigh between 1.9 and 2.4 pounds? Enter your answer as a percentage rounded to one decimal place.
%
3-Bass – Samples: The bass in Clear Lake have weights that are normally distributed with a mean of 2.2 pounds and a standard deviation of 0.6 pounds. Suppose you catch astringer of 6 bass with a total weight of 16.5 pounds. Here we determine how unusual this is.
(a) What is the mean fish weight of your catch of 6? Round your answer to 1 decimal place.
pounds
(b) If 6 bass are randomly selected from Clear Lake, find the probability that the mean weight is greater than the mean of those you caught. Round your answer to 4 decimal places.
(c) Which statement best describes your situation?
4-Lifespan: Assume the average life-span of those born in the U.S. is 78.2 years with a standard deviation of 16 years. The distribution is not normal (it is skewed left). The good people at Live-Longer-USA (fictitious) claim that their regiment of acorns and exercise results in longer life. So far, 45 people on this program have died and the mean age-of-death was 83.7 years.
(a) Calculate the probability that a random sample of 45 people from the general population would have a mean age-of-death greater than 83.7 years. Round your answer to 4 decimal places.
(b) Which statement best describes the situation for those in the Live Longer program?
(c) Why could we use the central limit theorem here despite the parent population being skewed?
0 comments