A simple random sample of the running time of 70 international movies resulted in a sample mean length of 112 minutes and a sample standard deviation of 7 minutes. Test the claim that international movies have a mean running time of more than 110 minutes at the 0.05 level of significance. Assume that the lengths of movies are normally distributed.(a) State the claim, null hypothesis and alternative hypothesis needed to test this claim.Claim: H0: H1:(b) Find the value of the test statistic needed to test this 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!
A simple random sample of the running time of 70 international movies resulted in a sample mean length of 112 minutes and a sample standard deviation of 7 minutes. Test the claim that international movies have a mean running time of more than 110 minutes at the 0.05 level of significance. Assume that the lengths of movies are
(a) State the claim, null hypothesis and alternative hypothesis needed to test this claim.
Claim: H0: H1:
(b) Find the value of the test statistic needed to test this hypothesis.
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