Nicotine Content of Cigarettes A manufacturer of cigarettes wishes to test the claim that the variance of the nicotine content of the cigarettes the company manufactures is equal to 0.624 The variance of a random sample of 25 cigarettes is 0.886. At α=0.10, test the claim. Assume that the variable is approximately normally distributed. Use the P -value method with tables. (a)State the hypotheses and identify the claim with the correct hypothesis. :H0: claim/not claim? :H1: claim/not claim? This hypothesis test is a one-tailed test/two-tailed test? (b)Find the critical value(s). Round the answers to three decimal places, if necessary. If there is more than one critical value, separate them with commas. Critical value(s): (c)Compute the test value. Round the intermediate calculations to three decimal places and the final answer to three decimal places. (d) Make a decision: Reject/Do not reject the null hypothesis (e)Summarize the results. There ▼(Choose one) enough evidence/not enough evidence, to support the claim that the standard deviation
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!
Nicotine Content of Cigarettes A manufacturer of cigarettes wishes to test the claim that the variance of the nicotine content of the cigarettes the company manufactures is equal to 0.624 The variance of a random sample of 25 cigarettes is 0.886. At α=0.10, test the claim. Assume that the variable is approximately
(a)State the hypotheses and identify the claim with the correct hypothesis.
:H0: claim/not claim?
:H1: claim/not claim?
This hypothesis test is a one-tailed test/two-tailed test?
(b)Find the critical value(s).
Round the answers to three decimal places, if necessary. If there is more than one critical value, separate them with commas.
Critical value(s):
(c)Compute the test value. Round the intermediate calculations to three decimal places and the final answer to three decimal places.
(d) Make a decision: Reject/Do not reject the null hypothesis
(e)Summarize the results.
There ▼(Choose one) enough evidence/not enough evidence, to support the claim that the standard deviation
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
