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For each of these situations, tell whether selections are dependent, independent, or approximately independent.
a. Four of a company's 10 clients are selected at random and contacted to fill out a survey.
b. Four of a company's 50 clients are selected at random and contacted to fill out a survey.
Is there evidence of a significant difference in the proportion who get their news primarily from newspapers between those 36 to 50 years old and those above 50 years old? (use α = 0.05)
Calculate a 95% confidence interval that estimates the proportion of U.S. families with children who always have the television on when they eat dinner as a family.
The weights of laboratory cockroaches follow a Normal distribution with mean 80 grams and standard deviation 2 grams. The following figure is the Normal curve.
A research organization selected 50 U.S. towns with Census 2000 populations between 4,000 and 6,000 as a sample to represent small towns for survey purposes.
A day trader buys an option on a stock that will return $100 profit if the stock goes up today and loses $200 if it goes down. If the trader thinks there is a 75% chance that the stock will go up, what is his expected value of the option?
If the manufacturer's claim is correct (i.e., seconds, σ = 10 seconds), what is the probability that the average deviation from perfect accuracy would be 34 seconds or more?
Ahren and Witi both love coffee. When Ahren is in the office, he drinks one cup of coffee with probability 0.6 and no cups of coffee with probability 0.4.
a sample of 250 people resulted in a confidence interval estimate for the proportion of people who believe that the
Assume the random variable x is normally distributed with mean u = 88 and standard deviation o = 4. Find the indicated probability. P(x
a manufacturer of strapping tape claims that the tape has a mean breaking strength of 500 psi. experience has shown
Let Y, Y2 Y3 Y4 be the order statistics of a random sample of size n = 4 from a distribution with p.d.f. f(x) = 2x, 0 x 1.
For each of the following situations, state whether the distribution of interest is a z distribution, a t distribution, or an F distribution.
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