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# week notes STAT 2010

AU

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This 4 page Class Notes was uploaded by chad ray on Thursday October 1, 2015. The Class Notes belongs to STAT 2010 at Auburn University taught by Robert R. Bubb in Summer 2015. Since its upload, it has received 19 views. For similar materials see Statistics for Social and Behavior Sciences in Statistics at Auburn University.

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Date Created: 10/01/15

STAT 2000 Fall 2015 Chapter 7 Review Different samples Will give different sample statistics this is called sampling variability A sampling distribution is a distribution for a sample statistic 56 or i The standard deviation of a sampling distribution is called the standard error Standard error formulas 72 Means quantitative data 71 Proportions categorical data Problem 1 72 At a certain restaurant the amount of money people spend is normally distributed With a mean of 1500 and a standard deviation of 450 Suppose a random sample of 25 patrons is selected Consider the sampling distribution of the sample mean 1 What is the mean of the sampling distribution That is how much do you expect these 25 patrons to spend on average 2 What is the standard error 3 What can you say about the shape of the sampling distribution Approximately normal because 11 gt 30 Approximately normal because the population is normal Approximately normal because np gt 15 and n1 p gt 15 Shape cannot be determined for this example 999 STAT 2000 Fall 2015 4 What is the probability that the mean amount spent in a random sample of 25 people is less than 1375 5 If samples of size 50 are considered instead the standard error would be 0636 If samples of size 100 are considered the standard error would be 045 Compare these values to your answer to part 2 Problem 2 71 As of 2012 about 31 of the American population hold Bachelor s degrees Suppose we look at samples of size 150 and record the proportion of people in the sample who hold a Bachelor s degree 1 What is the mean of the sampling distribution of the proportion That is in a sample of 150 people what proportion do you expect will hold a degree What is the standard error of the sampling distribution What is the shape of the sampling distribution Approximately normal because 11 gt 30 Approximately normal because the population is normal Approximately normal because np gt 15 and n1 p gt 15 Shape cannot be determined for this example 999 STAT 2000 Fall 2015 4 Suppose we had looked at samples of size 30 instead What would the shape of the sampling distribution be a Approximately normal because 11 gt 30 b Approximately normal because the population is normal c Approximately normal because np gt 15 and n1 p gt 15 d Shape cannot be determined for this example 5 In a sample of 150 what is the probability that the sample proportion exceeds 035 Problem 3 72 Test scores for the unit 1 test show a skewed left distribution with a mean of 82 and a standard deViation of 113 Suppose your lab class is actually a random sample from the population of all STAT 2000 students 1 If your lab class has 30 students in it what is the probability that the average test score is above an 80 2 What will the distribution of test scores in your lab be Note that this question is about one particular sample not the sampling distribution STAT 2000 Fall 2015 Problem 4 71 In 2011 84 of Americans reported using their seatbelts While driving In a sample of 250 people What is the probability that the proportion Who wear seatbelts is greater than 087

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