A survey of 2004 registered voters in a certain city found that 762 of them planned to vote by mail this year.  The mayor of the city wants to construct a confidence interval for the proportion of city residents that plan to vote by mail this year.    a. What is the point estimate of the proportion of registered voters in this city that plan to vote by mail this year?  Round to three decimal places.  [answera] b. Does the sample meet the conditions necessary to calculate the 95% confidence interval for the population proportion? [answerb1] because the sample is random, the sample is less than 5% of the population and [answerb2]. c. Use the appropriate formula to find the margin of error for a 95% confidence interval.  Round to three decimal places.  [answerc] d. Using the margin of error and the point estimate of the proportion, find the 95% confidence interval for the proportion of registered voters in this city who plan to vote by mail.  Round to three decimal places.  [asnwerd]

Determine whether the underlined value represents a parameter or a statistic and why.  The mean weight of a sample of 10 apples is 52 grams. 

Determine whether or not the following represents a binomial experiment.  If not, why not.  An insurance company chooses a random sample of 20 car accident claims classifying them as single vehicle or multiple vehicle.  They know that 18% of all claims involve a single vehicle.  Let x be the number of single vehicle claims in the sample. 

Determine whether the sampling is dependent or independent.  Indicate whether the response variable is qualitative or quantitative.  A professor randomly chooses 25 students who are STEM majors and looks at their GPAs and randomly chooses 25 different students who are Arts Majors and looks at their GPAs.  The goal of the study is to compare the mean GPAs.  

An SMC student wants to determine the mean amount of financial aid received by students at the college.  How many students should be polled to determine the mean to within $85 at 95% confidence.  Assume that the standard deviation in financial aid is known to be $1400.  

It is claimed that 64.2% of all community college students plan to transfer.  You decide to test this claim.  What is the minimum sample size required to be sure the Central Limit Theorem applies in your work.  Enter the number in the space provided below. 

Classify each of the following quantitative variables as either continuous or discrete.  a. Number of letters in a word  [a] b. Length of a piece of rope [b]

Find the area under the standard normal curve to the right of z = 1.25.

A random sample of 400 SMC students indicated that 271 of them said they drink coffee daily  Find the 95% confidence interval for the true proportion of SMC students that drink coffee daily.  Round the endpoints of the interval to three decimal places.  Assume that the conditions to find the confidence interval are met. 

Identify the level of measurement (nominal, ordinal, interval, ratio) for each of the following variables.  a. meal being eaten: breakfast, lunch, dinner [a] b. number of pets in a household [b] c. temperature of a lake [c] d. type of bread used in a sandwich [d]