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Question: In June 2009 an onslaught of miserable weather in New England played havoc with people's plans and psyches. However, the dreary weather brought a quiet benefit to many city neighborhoods. Police reported that the weather was a key factor in reducing fatal and nondeadly shootings (The Boston Globe, July 3, 2009). For instance, it rained in Boston on 22 days in June, when 15 shootings occurred. In 2008, the city saw rain on only eight days and 38 shootings occurred. The table below shows the n u m b e r o f rainy days and the number of shootings that occurred in June from 2005 to 2009.
a. Calculate and interpret the covariance and the correlation coefficient.
b. Specify the competing hypotheses in order to determine whether there is a negative population correlation between the number of rainy days and crime.
c. Calculate the value of the test statistic and approximate its p-value.
d. At the 5% significance level, what is the conclusion to the test? Does it appear that dreary weather and crime are negatively correlated?
consider the following joint discrete probability mass function pmfpxy 0.1 for xy 11 21 12 and 220.2
Assume σ =5 3.2 and conduct a hypothesis test to determine whether there is any evidence that the mean response time has increased. Use a = 0.001.
Under older Federal Aviation Administration rules, airlines had to estimate the weight of a passenger as 185 pounds. That amount is for an adult traveling in winter, and it includes 20 pounds of carry-on baggage.
Suppose we want to do this study again, picking various communities and locations at random, and hope to end up with a 98% confidence interval having a margin of error of ±4%. How many children must we observe?
Do these results suggest that the racial makeup of the faculty members is different from that of the students? (Use the .05 significance level.) Use the five steps of hypothesis testing and explain your findings.
In your local nuclear power station, there is an alarm that senses when a temperature gauge exceeds a given threshold. The gauge measures the temperature.
Your firm has classified orders as either large or small in dollar amount and as either light or heavy in shipping weight. In the recent past, 28% of orders have been large dollar amounts
Calculate the mean, median ,mode and standard deviation.What do these statistics suggest about the shape of the distribution?
Construct a 95% confidence interval for the population proportion of households where the women make the majority of the purchasing decisions.
If the Pearson Correlation is 0.18, what do we get, what is the value called, and what does it tell us?
An enterprising art historian recently started a new business: the production of walking-tour audiotapes for use by those visiting major cities. She originally pro- duced tapes for eight cities:
If she has enough time to complete only six applications, how confident can she be of getting three offers within the available time?
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