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Please help me answering the following questions. 1)When using the standardized normal distribution, about 95% of all scores fall between 2 standard deviations above and

Please help me answering the following questions.

1)When using the standardized normal distribution, about 95% of all scores fall between 2 standard deviations above and below the mean.

2)A major of a large city wants to know how long it takes the police in his city to respond to a call for service.In a random sample of 15 citizens who called the police for service, the mayor's research director found that the average response time was 595 seconds, with a standard deviation of 43 seconds.

Using a 95% confidence level, what is the lower bound for this confidence interval?

3)Kingsnorth et al. (2002) examined the case processing time (in days) from arraignment to disposition for cases processed by the Sacramento County District Attorney's office.For the 90 cases that resulted in a felony conviction, the mean processing time was 113.6 days with a standard deviation of 175.53. Construct 95% confidence intervals for the mean.

What is the LOWER bound for this confidence interval?

4)In general, men that are rapists have typically committed several rapes before getting caught.We decide to ask incarcerated rapists to report how many rapes they've committed in their lifetime.We talk to 120 incarcerated rapists.Their average number of rapes is 5.8.The standard deviation is 2.4.Construct a 99% confidence interval around the mean.

What is yourUPPERbound for the confidence interval?

In a two-year survey of 100 census tracts in Seattle (WA), Rountree and Warner (1999) observed a mean official violent crime rate of 27.06 per 1,000, with a standard deviation of 33.81. Construct a 95% confidence interval around this mean.

What is thelowerbound for this confidence interval?

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