How well materials conduct heat matters when designing houses, for example. Conductivity is measured in terms of watts of heat power transmitted per square meter of surface per degree Celsius of temperature difference on the two sides of the material. The National Institute of Standards and Technology (NIST) provides data on properties of materials. Here are 9 NIST measurements of the heat conductivity of a particular type of fibrous-glass board:
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!
How well
materials conduct heat matters when designing houses, for
example. Conductivity is measured in terms of watts of heat
power transmitted per square meter of surface per degree Celsius of temperature difference on the two sides of the material.
The National Institute of Standards and Technology (NIST)
provides data on properties of materials. Here are 9 NIST
measurements of the heat conductivity of a particular type of
fibrous-glass board:
0.0339 0.0337 0.0334 0.0334 0.0333
0.0333 0.0333 0.0332 0.0330
(a) We can consider this an SRS of all specimens of fibrousglass board of this type. Make a stemplot. Is there any sign of
major deviation from Normality?
(b) Give a 95% confidence interval for the mean conductivity.
(c) Is there significant evidence at the 5% level that the
mean conductivity of this type of fibrous-glass board is not
0.0330?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
