# Statistics

posted by Mimi

Explaining confidence. A student reads that a 95% confidence interval for the mean ideal weight given by adult American women is 140 ± 1.4 pounds. Asked to explain the meaning of this interval, the student says, “95% of all adult American women would say that their ideal weight is between 138.6 and 141.4 pounds.” Is the student right? Explain your answer.

1. Joe

We have a population of all adult women. We take a random sample from this population and create a confidence interval. If we take many, many, many different samples from this population we will obtain many, many, many different sample means and confidence intervals created using the data from our samples. If we created many, many, many different confidence intervals in this manner 95% of them would capture the true mean weight of the population of all women.

## Similar Questions

1. ### Statistics

Which of the following statements best describes the uncertainty associated with a 95% confidence interval for a population proportion, computed from a simple random sample?
2. ### Statistics

Suppose x has a mound-shaped distribution with sigma = 9 . A random sample of size 36 has sample mean 20. Is it appropriate to use a normal distribution to compute a confidence interval for the population mean m?
3. ### Math Statistics

Students enrolled in an introductory statistics course at a university were asked to take a survey that indicated whether the student has a visual or verbal learning style. Of the 39 students who took the survey, 25 were judged to …
4. ### Math Statistics

5. Students in an introductory statistics class were asked to report the age of their mothers when they were born. Summary statistics include Sample size: 36 students Sample mean: 29.643 years Sample standard deviation: 4.564 years …
5. ### Statistics

In 1998 a San Diego Reproductive clinic reported 49 live births to 207 women under the age of 40 who had previously been unable to get pregnant. Using the 90% confidence interval calculated above, would it be misleading for the clinic …
6. ### Statistics

The standard deviation for a population is σ = 15.3. A sample of 36 observations selected from this population gave a mean equal to 74.8. a) Make a 90% confidence interval for μ b) Construct a 95% confidence interval for …
7. ### Statistics

A confidence interval for a population mean has a margin of error of 3.1. a)Determine the length of the confidence interval. b)If the sample mean is 56.7, obtain the confidence interval.
8. ### statistics HELP!

A data set includes body temperatures of healthy adult humans for which 98.1F and s= 0.56F. What is the best point estimate of the mean body temperature of all healthy humans?
9. ### Stastics

Which of the following descriptions of confidence intervals is correct?
10. ### Statistics

Can anyone help me with this? Which of the following statements is true about a 99% confidence interval?

More Similar Questions