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Instant versus fresh-brewed coffee. A matched pairs experiment compares the taste of instant versus fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 40 subjects who participate in the study, 12 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)
(a) Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic and its P-value.
(b) Draw a sketch of a standard Normal curve and mark the location of your z statistic. Shade the appropriate area that corresponds to the P-value.
(c) Is your result significant at the 5% level? What is your practical conclusion?
If you are told a population has a mean of 25 and a variance of 0, what must you conclude? a) Someone has made a mistake. b) There is only one element in the population.
Is there sufficient evidence at a = 0.05 to conclude that the students did better the second time? Discuss possible reasons for your results.
Student who scores in the top 5% of statewide scores. How high should a student score be to win this award? Give your answer to the nearest integer.
Describe the variables and their scale of measurement.Discuss the expected outcome (e.g., "The group 1 mean score will be significantly greater than the group 2 mean score because...")
Calculate the mean, median, mode, variance, and standard deviation for both the sample and the population. For the population mean construct the 95% confidence interval
a moderate wind accelerates a pebble over a horizontal xy plane with a constant acceleration a 5.00 ms2i 7.00ms2j. at
Briefly describe the data that is used and how it is collected. What is the sample and what is the population? Example: Survey data collected by QU pollsters. The sample is those polled, and the population may be U.S. citizens eligible to vote
At the end of two weeks, she has traveled both routes five times and can compare their average commuting times. Why should she not use the t -tools for two independent samples? What should she use?
Let X1,..., Xn be a random sample from a normal population. A particular realization resulted in a sample mean of 20 with the sample standard deviation 4. Construct a 95% con?dence interval for μ when:
a) What is the correlation coefficient & how strong is it? b) What is the best fit regression equation that can predict the MBA GPA from the BS GPA? c) What percent of the variability in the MBA GPA can be explained by the regression model?
The length of a particular telemarketing phone call, x, has an exponential distribution with mean equal to 1.5 minutes.
Show all work, including justification for using the approximate model to find this probability. You may upload a picture as part of your supporting work if you wish.
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