Cans of coke are supposed to contain an average of 12 ounces. A new manufacturing system is put in place that saves money, but as the factory manager, you want to be sure that it still delivers the right amount of soda. You measure the contents of 34 cans from the new manufacturing system, finding that these cans contain an average of 12.19 ounces, with a standard deviation of 0.34 ounces. That seems a little high, but it's not too big of a difference. Could this just be due to random variation in selecting this particular 34 cans? Or is this new manufacturing process putting in the wrong amount of soda on average? A: What is the Test Statistic? ________ B: What is the two-tailed P-Value from the hypothesis test? _____ C: Based on this sample, create a 95% confidence interval on the average amount of coke per can delivered by the new manufacturing system. _______< u < ______
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!
Cans of coke are supposed to contain an average of 12 ounces. A new manufacturing system is put in place that saves money, but as the factory manager, you want to be sure that it still delivers the right amount of soda. You measure the contents of 34 cans from the new manufacturing system, finding that these cans contain an average of 12.19 ounces, with a standard deviation of 0.34 ounces. That seems a little high, but it's not too big of a difference. Could this just be due to random variation in selecting this particular 34 cans? Or is this new manufacturing process putting in the wrong amount of soda on average?
A: What is the Test Statistic? ________
B: What is the two-tailed P-Value from the hypothesis test? _____
C: Based on this sample, create a 95% confidence interval on the average amount of coke per can delivered by the new manufacturing system.
_______< u < ______
Step by step
Solved in 2 steps
