A researcher wishes to see if the average number of sick days a worker takes per year is greater than 5. A random sample of 28 workers at a large department store had a mean of 5.6. The standard deviation of the population is 1.2. Is there enough evidence to support the researcher's claim at α=0.01? Assume that the variable is normally distributed. Use the critical value method with tables. A.) State the hypotheses and identify the claim with the correct hypothesis. H0: H1: B.) Find the critical value(s). C.) Compute the test value. z= D.) Make the decision. ________ the null hypothesis. E.) Summarize the results.
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!
A researcher wishes to see if the average number of sick days a worker takes per year is greater than 5. A random sample of 28 workers at a large department store had a mean of 5.6. The standard deviation of the population is 1.2. Is there enough evidence to support the researcher's claim at α=0.01? Assume that the variable is
H0:
H1:
z=
________ the null hypothesis.
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