A car company says that the mean gas mileage for its luxury sedan is at least 24 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 21 mpg and a standard deviation of 2 mpg. At a = 0.10, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table. Click here to view page 1 of the normal table. Click here to view page 2 of the normal table. OF Use a normal sampling distribution because the population is normal, and o is known. O E. Use a normal sampling distribution because n> 30. State the appropriate hypotheses to test O B. H, u= 24 H, u#24 O A. H, H#24 H, p= 24 a H μ24 H, u<24 OD. H, us24 H, p> 24 What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed) (2
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!
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