4. A study examining the relationship between weight of school children (4th to 6th graders) found a 95% confidence interval for the difference between the average number of school days missed by overweight and normal weight children (Hoverweight – Hnormal) to be 1.3 to 2.8 days. Which of the following is true based on this confidence interval? At 5% significance level, the data do not provide convincing evidence of a difference between the average number of missed days by overweight and normal weight children. We are 95% confident that overweight children on average miss 1.3 to 2.8 days more than children with normal weight. At 10% significance level, the data do not provide convincing evidence of a difference between the average number of missed days by overweight and normal weight children. We are 95% confident that overweight children on average miss 1.3 to 2.8 days fewer than children with normal weight.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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4. A study examining the relationship between weight of school children (4th to 6th graders) found a 95% confidence
interval for the difference between the average number of school days missed by overweight and normal weight children
(Hoverweight
Unormal) to be 1.3 to 2.8 days. Which of the following is true based on this confidence interval?
At 5% significance level, the data do not provide convincing evidence of a difference between the average number
of missed days by overweight and normal weight children.
We are 95% confident that overweight children on average miss 1.3 to 2.8 days more than children with normal
weight.
At 10% significance level, the data do not provide convincing evidence of a difference between the average number
of missed days by overweight and normal weight children.
We are 95% confident that overweight children on average miss 1.3 to 2.8 days fewer than children with normal
weight.
5. When doing inference on a single mean, which of the following is the correct justification for using the t-distribution
rather than the normal distribution?
Because the standard error estimate may not be accurate.
Because the t-distribution is not symmetric.
All of the above.
None of the above.
Transcribed Image Text:4. A study examining the relationship between weight of school children (4th to 6th graders) found a 95% confidence interval for the difference between the average number of school days missed by overweight and normal weight children (Hoverweight Unormal) to be 1.3 to 2.8 days. Which of the following is true based on this confidence interval? At 5% significance level, the data do not provide convincing evidence of a difference between the average number of missed days by overweight and normal weight children. We are 95% confident that overweight children on average miss 1.3 to 2.8 days more than children with normal weight. At 10% significance level, the data do not provide convincing evidence of a difference between the average number of missed days by overweight and normal weight children. We are 95% confident that overweight children on average miss 1.3 to 2.8 days fewer than children with normal weight. 5. When doing inference on a single mean, which of the following is the correct justification for using the t-distribution rather than the normal distribution? Because the standard error estimate may not be accurate. Because the t-distribution is not symmetric. All of the above. None of the above.
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