Question;QNT 561 Week 2 Quiz;1. The probability distribution shown here;describes a population of measurements that can assume values of 1, 2, 3, and;4, each of which occurs with the same relative frequency.;x p(x);1 0.25;2 0.25;3 0.25;4 0.25;a. Calculate;the mean of all the different samples of n=2 measurements that can be selected;from this population. Select the correct choice below.;b.;If a sample of n=2 measurements is randomly selected from the;population, what is the probability that a specific sample will be selected?;c. Complete the sampling;distribution table.;Construct;a probability histogram for the sampling distribution of x.;2.;Suppose a random sample of n=64 measurements is selected from a population with;a mean? and standard deviation?. For each of the following values of? and?;give the values of?- and?-;a.;?=8?=2;b.;?=64?=64;c.;?=16?=56;d.?=8;?=152;3. A random sample of n=100;observations is selected from a population with? =30 and?=22. Approximate the;probabilities shown below.;a. P(x?28);b. P(22.1?x?26.8);c.;P(x?28.2);d. P(x?27.0);4. A random sample of 93;observations produced a mean x=26.2 and a standard deviation s=2.4.;a. Find a 95% confidence interval;for?.;b. The 90% confidence interval for;?.;c. The 99% confidence interval for;?.;5. The random sample shown;below was selected from a normal distribution.;10,3,4,7,4,8;a. Construct a 95% confidence;interval for the population mean?.;b. Assume that sample mean x and;sample standard deviation remain exactly the same as those you just;calculated but they are based on the sample of n=25 observations. Repeat;part a. What is the effect of increasing the sample size on the width of the;confidence interval?;6. For the binomial sample;information summarized below indicate whether the sample size is;large enough to use the large sample approximation to construct a;confidence interval for p.;n=40, p=0.25;Is the sample size large enough?;7. A newspaper reported that 50% of;people say that some coffee shops are overpriced. The source of this;information was a telephone survey of 40 adults.;a. Identify the population of;interest.;b. Identify the sample.;c. Identify the parameter of;interest.;d. The 90% confidence interval;for the parameter of interest;Question;8: If you wish to estimate a;population mean with a sampling distribution error SE=0.29 using a 95%;confidence interval and you know from prior sampling that?^2 is approximately;equal to 4.1 how many observations would have to be included in your;sample?;9. Suppose N=5,000, n=1,000, and;s=50.;a. What is the standard error of x?;b. What is the standard error of x;if n=2,000?;c. What is the standard error of x;if n=5,000?;d. What happens to the standard;error of x as n is increased?;10.;Suppose you want to estimate a population proportion, p, and p^=0.33 and;N=6,100, and n=1,400. Find an approximate 95% confidence interval for p.;11. What is specifically observed or;what participants are asked in research study?;12. Data which someone has at least;interpreted once since the event has occurred and has been recorded.;13. When a business decision is;required in response to a problem or opportunity this is called.;14. Which characteristic of good;research involves distinguishing between the organization?s symptoms, its;problems, the manager?s perception of the problems, and the research;problem?;15. Which of the following types of;research is conducted to answer the questions who, what, where, and sometimes;how?;16. This type of study is loosely;structured and designed to understand future research requirements.;17. A firm is conducting a research;study trying to ascertain if customers are sensitive to price changes on its;products. This is an example of.
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