The hustogram below summarincs the sunvval tames in yean) from a study of a stan

Question

The hustogram below summarincs the sunvval tames in yean) from a study of a standard trtment for tn statistics to aewer the questions below whmeastaic breast cer Use the & the Summary statistics: Column n Mean Variance Std. dev. Std. err.Median Range Min Max Q Q3 Treatment 1 49 2.9387755 3.6503401 19622284 0 28031834 le of The distribution of survival times is Select an ansiwer The a survival tine ort years, while 50% of the women in the umnple had a "rvnal tame of yen, whule the maxim years According to the IQR. %ofthe wumm umthuc sample gavavod between years whes given thus treatment Applying Seleci an answerto this distribution, we estimate thst Select anofwos with static brcast ccer will survive betwce standard deviations from the mean). and Note: Round any values to 4 decimal places when answering Make sure the lianits of tie isterval calculated ave lepitinate valucs foe the variable being described

Explanation / Answer

The distribution of survival times is Exponentia. The mean survival time for this sample of 49 women undergoing the standard treatment is 2.9388 years, while 50% of the women in the sample had a survival time of 2 years or longer. The minimum survival time was 1 year, while the maximum was 9 years. According to the IQR, 50% of the women in the sample survived between 1 and 4 years when gives this treatment. Applying Central Limit theorem to this distribution, we estimate that 99.7% of women with metastatic breast cancer will survive between (mean-3standard deviation) = (2.9388-3*1.9622) = -2.9478 and (mean+3standard deviation) = (2.9388+3*1.9622) = 8.8254 years

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