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As a project for their high school mathematics class, four class members purchase packages of a leading breakfast cereal for subsequent weighing and comparison with the 12-ounce label weight. The students are sur- prised when they weigh the contents of their four pack- ages and find the average weight to be only 11.5 ounces. When they write to the company, its consumer relations representative explains that "the contents of the ‘12- ounce' packages average 12.2 ounces and have a stan- dard deviation of 0.4 ounces. The amount of cereal will vary from one box to the next, and your sample is very small-this explains why your average weight could be just 11.5 ounces." If the spokesperson's information is correct, how unusual would it be for these students to get a sample mean as small as the one they obtained? Be sure to state any assumptions you have made in obtaining your answer.
Let µ and ν be probability measures on S such that ν is singular with respect to µ on S, but absolutely continuous with respect to µ on each An with Radon-Nikodym derivative fn . Show that fn → 0 a.s. for µ. Hint: If fn → f a.s., show by Fatou's l..
It has been reported that 3% of all cars on the highway are traveling at speeds in excess of 70 mph. If the speeds of four random automobiles are measured via radar, what is the probability that at least one car is going over 70 mph?
If two voters are randomly selected for a telephone survey, what is the probability that the first one is a Democrat followed by a Republican?
Prove that there are no integers x, y, and z such that. Show that square root of 2 cubed is an irrational number.
Ben conducts a study on the effects of actor gender on purchasing preferences. He shows participants a video in which either a male or female actor promotes a new XBox game. Ben then has participants (all parents) rate the game, using a scale of 1-..
a pair of dice is rolled 270 times. using the normal curve approximation what is the probability that a total of 7
Describe the kinds of statistical software that are available to healthcare professionals.
a quarter that is tossed 60 timeswhat is the probability that it will come up heads 20 or more times? estimate the
A gardner plants 12 flowers. It is perdicted that on an average, 15% of the flowers planted will die during the first winter. Using the information above, please answer the following questions:
Calculate the test statistic and the df - Write a conclusion, addressing the research question. Your conclusion should include an interpretation of the 95% confidence bound which is given in the above output
The Wall Street Journal recently ran an article indicating differences in perception of sexual harrassment on the job between men and women.
of three cards one is painted red on both sides one is painted black on both sides and one is painted red on one side
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