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1) The data show the total number of medals (gold, silver, and bronze) won by each country winning at least one gold medal in the 2006 Winter Olympics. Find the mean, median, and mode of the numbers of medals won by these countries.
1 2 3 3 4 9 9 11 11
11 14 14 19 22 23 24 25 29
2) According to a recent study, 1 in every 4 women has been a victim of domestic abuse at some point in her life. Suppose we have randomly and independently sampled twenty-five women and asked each whether she has been a victim of domestic abuse at some point in her life. Find the probability that at least 1 of the women sampled have been the victim of domestic abuse.
A banks loan officer rates applicants for credit. The ratings are causally distributed with a mean of 200 also a standard deflation of 50.
State the null and alternative hypotheses you would use to test whether the year-end bonuses paid by Jones & Ryan were different from the population mean.
Then explain your answer to someone who has never had course in statistics (but who is familiar with mean, standard deviation, and Z scores.)
They are asked if they use a laptop in class to take notes. Suppose that based on the survey, 220 of the 400 students responded "yes". a) What is the value of the sample proportion ^p ? b) What is the standard error of the sample proportion?
Index number acts as a barometer for measuring the value of money. What are the characteristics of an index number? State its utility.
He surveys a sample of 40 students and finds that for the most recent semester their average cost was $430 with a standard deviation of $80. What is the test value for this hypothesis test?
A contractor developed a multiplicative time series model to predict the number of contracts in future quarters, using quarterly data on number of contracts during the 3-year period from 1996 to 1998.
Explain why we need to use the t distribution. What assumption do you need to make?
Suppose that a researcher does a study to see how level of anxiety (A 1 = low, A 2 = medium, A 3 = high) is used to predict exam performance (Y).
If we fit the least-squares line to the 12 data points (one for each month) we obtain the following results from a software package. Notice that temperature is taken as the explanatory variable and crawling age as the response.
Find the value of q-hat from proportion and degrees of freedom used to find the t-score.
Explain the purpose of the chi-square test for independence. Provide some practical examples where this test might be used in business.
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