Question

Asked Oct 14, 2019

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An investigator conducts a study to investigate whether there is a difference in mean PEF in children with chronic bronchitis as compared to those without. There are 25 children without bronchitis in the sample, and they have a mean PEF of 319 with a standard deviation of 74. Construct a two-sided 95% confidence interval for the mean PEF in children without chronic bronchitis.

Step 1

**Introduction:**

The 100 (1 – *α*) % confidence interval for the population mean, *μ*, for given sample standard deviation, *s* is: (*x̅* – (*tα*/2; *n* – 1) (*s**/√n*), *x̅* + (*tα*/2; *n* – 1) (*s**/√n*)).

Here, *n* is the sample size, *x̅* is the sample mean, and *tα*/2; *n* – 1 is the critical value of the *t*-distribution with (*n* – 1) degrees of freedom, above whic...

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