The melting point of each of 20 samples of a certain brand of hydrogenated vegetable oil was determined, resulting in x¯=94.32x¯=94.32. Assume that the distribution of the melting point is normally distributed with a σ=1.20σ=1.20. Test the claim that the mean melting point of hydrogenated vegetables is less than 95. a.What is the appropriate alternative hypothesis? b.What is the value of the test statistic?d. c.What is the corresponding p-value? d.What is the confidence interval for the mean melting point of hydrogenated vegetable?
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!
The melting point of each of 20 samples of a certain brand of hydrogenated vegetable oil was determined, resulting in x¯=94.32x¯=94.32. Assume that the distribution of the melting point is
a.What is the appropriate alternative hypothesis?
b.What is the value of the test statistic?d.
c.What is the corresponding p-value?
d.What is the confidence interval for the mean melting point of hydrogenated vegetable?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
