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An industry representative claims that 50% of all satellite dish owners subscribe to at least one premium movie channel. In an attempt to justify the claim, a random sample of dish owners will be selected. Assuming the claim made by the representative is true, suppose that a sample of four dish owners is selected. Write the mathematical model and determine the probability that
a. None of the dish owners in the sample subscribe subscribes to at least one premium movie channel?b. More than two dish owners in the sample subscribe to at least one premium movie channel?
c. If a sample of 20 dish owners is randomly selected the what would be the probability that nine or fewer dish owners in the sample subscribe to at least one premium movie channel?
d. If a sample of 20 dish owners is randomly selected the what would be the probability that more than 11 dish owners in the sample subscribe to at least one premium movie channel?
Most of the time managers will have initial (or prior) knowledge of the probabilities that an event or outcome will result. When new information is obtained, initial probability projections can be revised and improved. What statistical techniques ..
At.05 level of significance, is there evidence to propose that mean life length of batteries produced by this manufacturer is more than 400 hours?
A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens.
Probability based on a random experiment - What is the probability of not randomly generating your cousin's telephone number?
A recent study reported that the prevalence of hyperlipidemia (defined as total cholesterol over 200) is 30% in children 2-6 years of age. If 12 children are analyzed,
In order that the sample proportion and the population proportion not differ by more than 0.05 with 95% level of confidence, what sample size should be used?
A simple random sample of 50 speeds (in mph) is obtained from cars traveling on a section of I-10 through Tallahassee. The sample has a mean of 72.3 mph and a standard deviation of 7.4 mph. Use a 0.05 significance level to test the claim that the ..
The number of hurricanes that are formed during each hurricane season can be modeled using the Poisson probability distribution.
Assume that in a hypothesis test with null hypothesis H 0 : μ = 14.0 at a = 0.05, that a value of 13.0 for the sample mean results in the null hypothesis not being rejected. That corresponds to a confidence interval result of:
Do you think a sample of 25 is large enough to give them the margin of error they want? If not, how large a sample do you suggest they take?
How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 6%?
The weight of an egg produced by a certain breed of hen is normally distributed with mean 66.1 grams (g) and standard deviation 5.5 g. If cartons of such eggs can be considered to be SRSs of size 12 from the population of all eggs, what is the pro..
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