StatisticsProject 2

StatisticsProject 2

Confidenceinterval refers to a given kind of interval estimate for a populationparameter. It is often calculated from observed interval. ConfidenceInterval could also refer to the range of values for a given variableof interest that is constructed so that the range becomes specific interms of the probability in inclusion of true value of the variable(Gardner & Altman, 1986).. This specific probability is referredto as the confidence interval with end points known as the confidencelimits.

Confidenceinterval is significant as it addresses the concern of range ofvalues that are contained in a given population parameter of interest(Gardner & Altman, 1986). Point estimate is a single value usedto estimate the population parameter. Mean of the sample is the bestpoint estimate for the population mean. This is because it is anunbiased estimator of the population mean.

Confidenceintervals are significant as they tell us the most likely range ofunknown population average or percentage like the average completionrate. Additionally, the upper and lower limits of the interval givenhelps to explain how big or small an effect could be. The narrowerthe confidence interval, the better it is.

For95% Confidence Interval

Assumingthat the age of persons suffering from the infectious diseases arenormally distributed with a mean of 61.81667 and has standarddeviation of 8.849655, then we get the sampling distribution usingthe sample size 9.

8.849655/3=2.949885

Thestandard deviation of the sampling distribution is the standarderror.

Upperlimit= 61.81667+ (1.96) (2.949885) = 61.81667+5.7817746 =67. 5984446

LowerLimit=61.81667- (1.96) (2.949885) = 61.81667- 5.7817746 = 56.0348954

For99% Confidence Interval

Assumingthat the age of persons suffering from the infectious diseases arenormally distributed with a mean of 61.81667 and has standarddeviation of 8.849655, then we get the sampling distribution usingthe sample size 9.

8.849655/3=2.949885

Thestandard deviation of the sampling distribution is the standarderror.

Upperlimit= 61.81667+ (2.678) (2.949885) = 61.81667+7.89979203=69.71646203

LowerLimit=61.81667- (2.678) (2.949885) = 61.81667- 7.89979203 =53.91687797

References

Gardner,M. J., & Altman, D. G. (1986). Confidence intervals rather than Pvalues: estimation rather than hypothesis testing. *BMJ*, *292*(6522),746-750.