Dental associations recommend that the time lapse between routine dental checkups should average six months. A random sample of 40 patient records at one dental clinic showed the average time between routine checkups to be 9.2 months. The population standard deviation is known to be 2 months. Do the sample data indicate that patients wait longer than recommended between dental checkups? Use a 5% level of significance. What is the null hypothesis?
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!
Dental associations recommend that the time lapse between routine dental checkups should average six months. A random sample of 40 patient records at one dental clinic showed the average time between routine checkups to be 9.2 months. The population standard deviation is known to be 2 months. Do the sample data indicate that patients wait longer than recommended between dental checkups? Use a 5% level of significance.
- What is the null hypothesis?
- What is the alternative hypothesis?
- What distribution are you using?
- What test are you running?
- What is your conclusion?
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