T2640-Lab 10 One-Sample Confidence Intervals Part I: Compute a C.I. for the population mean from a sample data. Problem #1. Psychologists have found that twins, in their early years, tend to have lower IQs and pick up language more slowly than non-twins. The slower intellectual growth of most twins may be caused by benign parental neglect. Suppose it is desired to estimate the mean attention time given to twins per week by their parents. A sample of 50 sets of 2.5-year-old twin boys is taken, and at the end of 1 week, the attention time given to each pair is recorded. The data were recorded in an Excel file named “ATTIMES.csv”. The sample mean is 20.848 with a standard deviation of 13.414. (a) Compute a 95% confidence interval for the mean attention time given to all twin boys by their parents and interpret it in the context of the problem. (b) Compute a 99% confidence interval for the mean attention time given to all twin boys by their parents and interpret it in the context of the problem. (c) Based on the CIs you found in Part (a), do think the sample data support the claim that the mean attention time given to all twin boys is not equal to 24? Explain.
T2640-Lab 10
One-Sample Confidence Intervals
Part I: Compute a C.I. for the population
Problem #1. Psychologists have found that twins, in their early years, tend to have lower IQs and pick up language more slowly than non-twins. The slower intellectual growth of most twins may be caused by benign parental neglect. Suppose it is desired to estimate the mean attention time given to twins per week by their parents. A sample of 50 sets of 2.5-year-old twin boys is taken, and at the end of 1 week, the attention time given to each pair is recorded. The data were recorded in an Excel file named “ATTIMES.csv”. The sample mean is 20.848 with a standard deviation of 13.414.
(a) Compute a 95% confidence interval for the mean attention time given to all twin boys by their parents and interpret it in the context of the problem.
(b) Compute a 99% confidence interval for the mean attention time given to all twin boys by their parents and interpret it in the context of the problem.
(c) Based on the CIs you found in Part (a), do think the sample data support the claim that the mean attention time given to all twin boys is not equal to 24? Explain.
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