The variability of the time to be admitted in a health care facility is of great concern. A random sample of 15 patients shows a mean time to admission of 2.2 hours with standard deviation of 0.2hours.
a) Find the confidence interval of the variance
b) Can we conclude that the variance of time to admission is less than 0.06? Use alpha = 0.01 Please Explain and show calculations.
The hypotheses are
a)We have the distribution of sample variance is such that . Here
The confidence interval for variance is
The 99% confidence interval for variance is
b) Since 0.06 is included in the confidence interval , we cannot conclude that the variance of time to admission is less than 0.06 at level of significance.
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