Exam 3: Confidence Intervals

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Use the following to answer the questions below: According to ESPN.com, the average number of yards per game for all NFL running backs with at least 50 attempts in the 2011 season was 49 yards/game. A sample of 20 running backs from the 2011 season averaged 46.54 yards/game. -Is 46.54 yards/game a parameter or statistic?

(Multiple Choice)
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Use the following to answer the questions below: Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = "yes" or "no" and Gender = "female (F)" or "male (M)." The two-way table below summarizes the results. Use the following to answer the questions below: Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = yes or no and Gender = female (F) or male (M). The two-way table below summarizes the results.    -The standard error is estimated to be 0.056. Find (in the context of this data situation) a 95% confidence interval for the difference in the proportion of smokers between male and female students,   Round the margin of error to three decimal places. -The standard error is estimated to be 0.056. Find (in the context of this data situation) a 95% confidence interval for the difference in the proportion of smokers between male and female students, Use the following to answer the questions below: Suppose we are interested in comparing the proportion of male students who smoke to the proportion of female students who smoke. We have a random sample of 150 students (60 males and 90 females) that includes two variables: Smoke = yes or no and Gender = female (F) or male (M). The two-way table below summarizes the results.    -The standard error is estimated to be 0.056. Find (in the context of this data situation) a 95% confidence interval for the difference in the proportion of smokers between male and female students,   Round the margin of error to three decimal places. Round the margin of error to three decimal places.

(Multiple Choice)
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Use the following to answer the questions below: According to ESPN.com, the average number of yards per game for all NFL running backs with at least 50 attempts in the 2011 season was 49 yards/game. A sample of 20 running backs from the 2011 season averaged 46.54 yards/game. -Two boxplots are shown. One boxplot corresponds to the yards/game for a random sample of Use the following to answer the questions below: According to ESPN.com, the average number of yards per game for all NFL running backs with at least 50 attempts in the 2011 season was 49 yards/game. A sample of 20 running backs from the 2011 season averaged 46.54 yards/game. -Two boxplots are shown. One boxplot corresponds to the yards/game for a random sample of     running backs. The other boxplot represents the values in a sampling distribution of 1,000 means of yards/game for samples of size n = 20.     Which boxplot represents the sample? Which boxplot represents the sampling distribution? running backs. The other boxplot represents the values in a sampling distribution of 1,000 means of yards/game for samples of size n = 20. Use the following to answer the questions below: According to ESPN.com, the average number of yards per game for all NFL running backs with at least 50 attempts in the 2011 season was 49 yards/game. A sample of 20 running backs from the 2011 season averaged 46.54 yards/game. -Two boxplots are shown. One boxplot corresponds to the yards/game for a random sample of     running backs. The other boxplot represents the values in a sampling distribution of 1,000 means of yards/game for samples of size n = 20.     Which boxplot represents the sample? Which boxplot represents the sampling distribution? Use the following to answer the questions below: According to ESPN.com, the average number of yards per game for all NFL running backs with at least 50 attempts in the 2011 season was 49 yards/game. A sample of 20 running backs from the 2011 season averaged 46.54 yards/game. -Two boxplots are shown. One boxplot corresponds to the yards/game for a random sample of     running backs. The other boxplot represents the values in a sampling distribution of 1,000 means of yards/game for samples of size n = 20.     Which boxplot represents the sample? Which boxplot represents the sampling distribution? Which boxplot represents the sample? Which boxplot represents the sampling distribution?

(Multiple Choice)
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Use the following to answer the questions below: November 6, 2012 was election day. Many of the major television networks aired coverage of the incoming election results during the primetime hours. The provided table displays the amount of time (in minutes) spent watching election coverage for a random sample of 25 U.S. adults. Use the following to answer the questions below: November 6, 2012 was election day. Many of the major television networks aired coverage of the incoming election results during the primetime hours. The provided table displays the amount of time (in minutes) spent watching election coverage for a random sample of 25 U.S. adults.    -Interpret your 92% confidence interval in the context of this data situation. -Interpret your 92% confidence interval in the context of this data situation.

(Essay)
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Use the following to answer the questions below: November 6, 2012 was election day. Many of the major television networks aired coverage of the incoming election results during the primetime hours. The provided table displays the amount of time (in minutes) spent watching election coverage for a random sample of 25 U.S. adults. Use the following to answer the questions below: November 6, 2012 was election day. Many of the major television networks aired coverage of the incoming election results during the primetime hours. The provided table displays the amount of time (in minutes) spent watching election coverage for a random sample of 25 U.S. adults.    -Use the estimate of the standard error to construct a 95% confidence interval for the mean amount of time (in minutes) U.S. adults spent watching election coverage on election night. Use three decimal places in your answer. -Use the estimate of the standard error to construct a 95% confidence interval for the mean amount of time (in minutes) U.S. adults spent watching election coverage on election night. Use three decimal places in your answer.

(Multiple Choice)
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Use the following to answer the questions below: The sampling distribution shows sample proportions from samples of size n = 35. ‪ Use the following to answer the questions below: The sampling distribution shows sample proportions from samples of size n = 35.  ‪   -Estimate the standard error of the sample proportions. -Estimate the standard error of the sample proportions.

(Multiple Choice)
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Use the following to answer the questions below: There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university. Use the following to answer the questions below: There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.    -If the parameter of interest is the difference in means,   -   where   and   are the mean number of hours spent watching television for males and females at this university, find a point estimate of the parameter based on the available data. Report your answer with two decimal places. -If the parameter of interest is the difference in means, Use the following to answer the questions below: There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.    -If the parameter of interest is the difference in means,   -   where   and   are the mean number of hours spent watching television for males and females at this university, find a point estimate of the parameter based on the available data. Report your answer with two decimal places. - Use the following to answer the questions below: There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.    -If the parameter of interest is the difference in means,   -   where   and   are the mean number of hours spent watching television for males and females at this university, find a point estimate of the parameter based on the available data. Report your answer with two decimal places. where Use the following to answer the questions below: There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.    -If the parameter of interest is the difference in means,   -   where   and   are the mean number of hours spent watching television for males and females at this university, find a point estimate of the parameter based on the available data. Report your answer with two decimal places. and Use the following to answer the questions below: There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.    -If the parameter of interest is the difference in means,   -   where   and   are the mean number of hours spent watching television for males and females at this university, find a point estimate of the parameter based on the available data. Report your answer with two decimal places. are the mean number of hours spent watching television for males and females at this university, find a point estimate of the parameter based on the available data. Report your answer with two decimal places.

(Short Answer)
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Use the following to answer the questions below: There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university. ‪ Use the following to answer the questions below: There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.  ‪   -Describe how you would estimate the standard error from the bootstrap distribution. -Describe how you would estimate the standard error from the bootstrap distribution.

(Essay)
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Use the following to answer the questions below: An Internet provider contacts a random sample of 300 customers and asks how many hours per week the customers use the Internet. It found the average amount of time spent on the Internet per week to be about 7.2 hours. -Define the parameter of interest, using the proper notation.

(Multiple Choice)
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