The histogram below summarizes the survival times (in years) from a study of a s

Question

The histogram below summarizes the survival times (in years) from a study of a standard treatment for patients with metastatic breast cancer. Use the histogram& the summary statistics to answer the questions below: Histogram of Survival Times for Treatment 1 Frequency 15 10 0 10 Survival times Summary statistics: Column n Mean Variance Std. dev. Std. err Median Range Min Max Q1 93 Treatment 1 49 2.9387755 3.8503401 1.9622284 0.28031834 2 8 1 9 1 4 The distribution of survival times is Select an answer . The mean survival time for this sample of 50% of the women in the sample had a survival time of- y survival time was IQR, years when given this treatment. Applying Select an answer to this distribution, we estimate that Select an answer of women with metastatic breast cancer will survive between and (how many?) women undergoing the standard treatment is years, while years or longer. The minimum years. According to the years, while the maximum was % of the women in the sample survived between and years (3 standard deviations from the mean). Note: Round any values to 4 decimal places when answering. Make sure the limits of the interval calculated are legitimate values for the variable being described.

Explanation / Answer

The distribution of urvival times is exponential. 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 IQR, 50% of the women in the sample survived between 1 year to 3 years when given this treatment. Applying Central limit theorem to this distributio, we estimate that 99.7% of women with metastatic breast cancer will survive between 0 and (2.9388 + 3 * 1.9622) = 8.8254 years.

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