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Loans that are 60 days or more past due are considered seriously delinquent. The Mortgage Bankers Association reported that the rate of seriously delinquent loans has an average of 9.1% (The Wall Street Journal, August 26, 2010). Let the rate of seriously delinquent loans follow a normal distribution with a standard deviation of 0.80%
Your mayor just announced that the local unemployment rate dropped last month from the prior month. It went from 10.5% to 10.4%. Is this a significant drop? Explain.
A random sample of 48 managers of large hotels has mean X‾= 5.91. The null hypothesis for the researcher's test is?
Assume that a 95% confidence interval for the mean is 14.5
A nursing school wants to estimate the true mean annual income of its alumni. It randomly samples 120 of its alumni. The mean annual income was $58,700 with a standard deviation of $1,500.
Is this correlation statistically significant? He also found the regression coefficient to be -1.66. Is this regression coefficient statistically significant? Explain why or why not for each.
Explain the ANOVA output table values:
A standard deviation of 218 KWh. For a randomly selected home, find the probability that the February energy consumption level is greater than 1,000 KWh.
A second sample of 61 has a mean of 100 and a population standard deviation of 8. Conduct a z-test about a difference in sample means using a 0.03 significance level and the following hypotheses.
What is the value of 1sigma 2sigma 3sigma 4sigma 5sigma 6sigma
Which is more likely to occur-more than 60% correct identifications in the sample of 200 or more than 55% correct identifications in a sample of 1,000? Explain.
In a survey conducted to see how long Americans keep their cars, 2000 automobile owners were asked how long they plan to keep their present cars. The results of the survey follow. Find out the probability distribution associated with these data.
For the binomial lattice model, Sn = S0 Y1 × · · ·×Yn , suppose p = 0.75,d = 0.90, u = 1.5:When r = 0.05: Show that the stochastic process Mn = Sn /(1 + r)n , n ≥ 0, forms a SUBmartingale.
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