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1. According to Money, in the year prior to March 2007, the average return for ?rms of the S&P 500 was 13.1%.9 Assume that the standard deviation of returns was 1.2%. If a random sample of 36 companies in the S&P 500 is selected, what is the probability that their average return for this period will be between 12% and 15%?
2. An economist wishes to estimate the average family income in a certain pop- ulation. The population standard deviation is known to be $4,500, and the economist uses a random sample of size n = 225. What is the probability that the sample mean will fall within $800 of the population mean?
3. When sampling is done for the proportion of defective items in a large ship- ment, where the population proportion is 0.18 and the sample size is 200, what is the probability that the sample proportion will be at least 0.20?
4. A study of the investment industry claims that 58% of all mutual funds out- performed the stock market as a whole last year. An analyst wants to test this claim and obtains a random sample of 250 mutual funds. The analyst ?nds that only 123 of the funds outperformed the market during the year. Determine the probability that another random sample would lead to a sample proportion as low as or lower than the one obtained by the analyst, assuming the proportion of all mutual funds that out performed the market is indeed 0.58.
Five homes are selected at random: What is the probability none of the six selected homes have a security system? (Round your answer to 3 decimal places.)
If the sample size (n) is large, and the sample is a random sample, then the distribution of the sample mean x-bar is approximately a:
1. one single number digit is selected randomly a. list the sample space. b. what is the probability of each event?
julie is shopping for an car insurance policy. during the following year there is a .01 probability that her car will
A dish contains 20 gumballs - 9 blue, 6 red and 5 white. We randomly select two gumballs from the dish without replacement. a) Let X be the number of blue gumballs selected. Complete the probability distribution of X by filling in the appropriate p..
It is known that 20% of the children in a school are first graders. If the school is sending a group of 11 randomly selected children to camp, what is the probability that less than 4 of the campers are first graders in this binomial distribution?
In making a land-use policy decision, a planner had to consider three objectives: the development of the best economic mixture of industrial and residential uses, the preserva tion of sensitive environmental areas, and satisfying the largest indus..
Suppose that 20% of the population has high blood pressure. If 7 people are randomly selected off the street, what is the probability that more than 4 of them do not have high blood pressure?
a pollster conducts a survey to determine the proportion of voters who favor his candidate. out of 1447 people surveyed
construct a one-page description to introduce one-way anova. you need to mention why anova is useful how it is carried
Find the distribution of profit for a unit price of $500. Use the Decision Table tool to find the best price between $400 and $600 in steps of $25.
A new restaurant with 123 seats is being planned. Studies show that 57% of the customers demand a smoke free area. How many seats sould be in the non-smoking area in order to be very sure (mean + 3 Standard Deviation) of having enough seating ther..
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