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To help plan your menu, you decide to conduct a sample survey in your own area. You will use random digit dialing to contact an SRS of 200 households by telephone. (a) If the national result holds in your area, it is reasonable to use the B(200, 0.4) distribution to describe the count X of respondents who seek nutritious food when eating out. Explain why. (b) What is the mean number of nutrition-conscious people in your sample if p = 0.4 is true? What is the probability that X lies between 75 and 85? (c) You and 100 of your 200 respondents concerned about nutrition. Is this reason to believe that the percent in your area is higher than the national 40%?
Using the 0.95 degree of confidence, what is the interval estimate for the population proportion (to the nearest tenth of a percent)?
A deck of cards contains 52 cards, 13 in each of four suits (hearts, diamonds, clubs and spades). Suppose you have been dealt five cards without replacement from a randomly shuffled deck of cards. Find the probability that al five cards are hearts..
Model Fitness. With any statistical model, we assess the fit: Does the model accurately depict the truth? Explain how one of the following helps assess the "fitness" of the mean.
In the 2000 football season, 247 plays were reviewed by officials using instant video replays, and 83 of them resulted in reversal of the original call.
Use Chebyshev's theorem to determine what percent of values will fall between 58 and 82 for data set with mean of 70 and standard deviation of 4.
A researcher is estmating influence of treatment using sample selected from normally distributed population with mean of µ = 80 and standard deviation of σ = 20. Calculate power of test if researcher uses sample of n = 25 individuals.
We are asked to investigate the hypothesis that the number of crimes is related to police expenditures because states with higher crime rates are likely to increase their police force, thereby spending more on the number of officers on the street.
At a certain pizza parlor, 45% of the customer's order a pizza containing onions, 38% of the customer's order a pizza containing sausage, and 79% order a pizza containing onions or sausage
Index number acts as a barometer for measuring the value of money. What are the characteristics of an index number? State its utility.
The winning team's score in 13 high school basketball games was recorded. If the sample mean is 54.3 points and the sample standard deviation is 11.0 points, find the 98% confidence interval of the true mean.
To investigate the efficacy of a diet, a random sample of 16 male patients is drawn from a population of adult males using the diet. The weight of each individual in the sample is taken at the start of the diet and at a medical follow up 4 weeks l..
If 55% of the students were dissatisfied and 200 were selected randomly, what is the probability that at least half would be dissatisfied?
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