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Question: Ice cream is legally required to contain at least 10% milk fat by weight. The manufacturer of an economy ice cream wishes to be close to the legal limit, hence produces its ice cream with a target proportion of 0.106 milk fat. A sample of five containers yielded a mean proportion of 0.094 milk fat with standard deviation 0.002. Test the null hypothesis that the mean proportion of milk fat in all containers is 0.106 against the alternative that it is less than 0.106, at the 10% level of significance. Assume that the proportion of milk fat in containers is normally distributed.
For each of the examples given here, decide whether the study was an observational study or a randomized experiment.
a crazy and lazy professor has developed a new grading system to make his life easier. he gives 10 a grades 80 b grades
A study is done to see whether a coin is biased. The alternative hypothesis used is two-sided, and the obtained z-value is 1.
A local authority is under severe financial pressure and is considering selling some of the land it owns to a building company.
Suppose that a random variable X has a Binomial distribution with parameters n and p. Find E[(1/3)^X].
We can decide to retain or reject a null hypothesis, and this decision can be correct or incorrect. Two types of errors in hypothesis testing are called Type I.
For each of the following phrases write down the probability number that you feel is rep resented by the phrase. After doing so, check your answers to be sure they are consistent. [For example, is your answer to e less than your answer to j?]
Who owns a Harley? Harley-Davidson motorcycles make up 14% of all the motorcycles registered in the United States. You plan to interview an SRS of 500.
a player of a video gameis is confronted with a series of four opponents and an 80 probability of defeating each
Let X be the number obtained on the blue die minus the number obtained on the red die. Draw a histogram for its probability function and a graph for its distribution function.
a. Include a screen shot of your parent population and your two distributions of sample means here. b. How are your two distributions of sample means similar? How are they different?
Explain why it is not appropriate to perform a formal inference procedure and yet it is still reasonable to conclude that the incidence rate is higher for gulf war veterans than for those who did not serve in the gulf war.
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