A veterinarian collects data on the number of times race horses are raced during

Question

A veterinarian collects data on the number of times race horses are raced during their career. The researcher finds the average number of races a horse enters is x= 15.3 with a standard deviation of s = 6.8 in a sample of n = 20 horses. The researcher notices one horse that has raced 45 times. This outlier poses a problem. What should the researcher do? O delete the outlier and recalculate sample mean and standard deviation then proceed with a t-interval O Choose a z-interval instead of a t-interval since a z-interval is not affected by outliers O Increase the confidence level O Because of the outlier, the t-methods are not appropriate to use. Other methods should be used to find this interval.

Explanation / Answer

Answer

Here the population standard deviation is unknown, so if an confidence interval has to be estimated then it must be t-interval. Beside that both z-interval and t-interval get influenced by sample mean and hence the outlier. Now we cannot just omit outlier as it is also a sample observation , unless it is showing a abnormal value. in such case we can just delete the outlier and recalculate the sample mean and standard deviation and proceed with the t-interval. But here when all other horses on an average races 18.3 ( or maybe less , cause this value is influenced by outlier) but a horse can also run 45 races. So in such case, we can do other intervals which is not influenced by that outlier value ( like based on sample median etc). So because of the outlier , the t-methods are not appropriate to use. Other methods should be used to find this interval which is least affected by the outlier value.

Hence fourth option is the correct one.

Hence the answer...............

thank you...........

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