text: # Confidence Intervals for the Mean
  
  ## Confidence Interval on the Mean
  
  ### Questions
  
  Question 1 out of 5.
  You know the mean and standard deviation of the population. You take a sample from this population and compute the 90% confidence interval for the mean. This interval contains values that are within how many standard deviations of the mean?
  
  Question 2 out of 5.
  There is a population of test scores. You take a sample of 11 scores and use them to estimate the population mean and standard deviation. Then you compute a 95% confidence interval for the mean. This confidence interval contains values that are within how many standard deviations of its mean?
  
  Question 3 out of 5.
  You take a sample (N = 25) of test scores from a population. The sample mean is 38, and the population standard deviation is 6.5. What is the 95% confidence interval on the mean?
  
  (37.49, 38.51)
  
  (36.49, 39.51)
  
  (35.45, 40.55)
  
  (25.26, 50.74)
  
  Question 4 out of 5.
  You take a sample (N = 9) of heights of fifth graders. The sample mean was 49, and the sample standard deviation was 4. What is the 99% confidence interval on the mean?
  
  (39.76, 58.24)
  
  (44.53, 53.47)
  
  (45.93, 52.07)
  
  (47.51, 50.49)
  
  Question 5 out of 5.
  
  Based on the data below, what is the upper limit of the 95% confidence interval for the mean of A1? You may want to use the Analysis Lab or another statistical program to answer this.
  ________
  
  A1
  1
  4
  5
  5
  7
  9
  10
  11
  12
  13
  14
  14
  17
  19
  20
  23
  24
  24
  24 29
explanation: The document contains a series of questions related to confidence intervals for the mean. Each question is numbered and focuses on different aspects of calculating and interpreting confidence intervals. Some questions are followed by multiple-choice answers, while others are open-ended and require a numerical response.
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distilabel_metadata.content: # Confidence Intervals for the Mean
  
  ## Confidence Interval on the Mean
  
  ### Questions
  
  Question 1 out of 5.
  You know the mean and standard deviation of the population. You take a sample from this population and compute the 90% confidence interval for the mean. This interval contains values that are within how many standard deviations of the mean?
  
  Question 2 out of 5.
  There is a population of test scores. You take a sample of 11 scores and use them to estimate the population mean and standard deviation. Then you compute a 95% confidence interval for the mean. This confidence interval contains values that are within how many standard deviations of its mean?
  
  Question 3 out of 5.
  You take a sample (N = 25) of test scores from a population. The sample mean is 38, and the population standard deviation is 6.5. What is the 95% confidence interval on the mean?
  
  (37.49, 38.51)
  
  (36.49, 39.51)
  
  (35.45, 40.55)
  
  (25.26, 50.74)
  
  Question 4 out of 5.
  You take a sample (N = 9) of heights of fifth graders. The sample mean was 49, and the sample standard deviation was 4. What is the 99% confidence interval on the mean?
  
  (39.76, 58.24)
  
  (44.53, 53.47)
  
  (45.93, 52.07)
  
  (47.51, 50.49)
  
  Question 5 out of 5.
  
  Based on the data below, what is the upper limit of the 95% confidence interval for the mean of A1? You may want to use the Analysis Lab or another statistical program to answer this.
  ________
  
  A1
  1
  4
  5
  5
  7
  9
  10
  11
  12
  13
  14
  14
  17
  19
  20
  23
  24
  24
  24 29
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a series of questions related to confidence intervals for the mean. Each question is numbered and focuses on different aspects of calculating and interpreting confidence intervals. Some questions are followed by multiple-choice answers, while others are open-ended and require a numerical response.
  
  Label: multiple-question-and-answer