Question

The table below shows the means and standard deviations of the survival times (in days) of some cancer patients who were treated with the same medication. Use these statistics to answer the question below. Type of Cancer Patient Mean Standard Deviation Breast 1395.9 1239.0 Bronchial 211.6 209.9 Colon 457.4 427.2 Ovarian 884.3 1098.6 Stomach 286.0 346.3 Which type of cancer patients (a) had the highest average survival time? (b) had the lowest average survival time? (c) had the most consistent survival times (least variation)? (d) had the least consistent survival times (most variation)? (e) had a standard deviation that was almost equal to the mean? (f) Colon cancer patients’ survival times were less / more consistent than stomach cancer patients’ survival times. (g) On average, ovarian cancer patients’ survival times differed from 884.3 days by about . (h) A breast cancer patient had a survival time of 1000 days. Was this within one standard deviation of the mean or was it further out? Enter "within" or "further out".

          The table below shows the means and standard deviations of the
survival times (in days) of some cancer patients who were treated
with the same medication.  Use these statistics to answer the
question below.
Type of Cancer Patient
Mean
Standard Deviation
Breast
1395.9
1239.0
Bronchial
211.6
209.9
Colon
457.4
427.2
Ovarian
884.3
1098.6
Stomach
286.0
346.3
Which type of cancer patients
     (a) had the
highest average survival time?  
     (b) had the
lowest average survival time?  
     (c) had the
most consistent survival times (least variation)?  
     (d) had the
least consistent survival times (most variation)?  
     (e) had a
standard deviation that was almost equal to the mean? 
     (f) Colon
cancer patients’ survival times were less /
more consistent than stomach cancer patients’ survival
times.  
     (g) On
average, ovarian cancer patients’ survival times differed from
884.3 days by about  .
     (h) A breast
cancer patient had a survival time of 1000 days.  Was this
within one standard deviation of the mean or was it further
out?  Enter "within" or "further out".

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Added by Thomas C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Ariana Nash

09/09/2022

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The table below shows the means and standard deviations of the survival times (in days) of some cancer patients who were treated with the same medication. Use these statistics to answer the question below. Type of Cancer Patient Mean Standard Deviation Breast 1395.9 1239.0 Bronchial 211.6 209.9 Colon 457.4 427.2 Ovarian 884.3 1098.6 Stomach 286.0 346.3 Which type of cancer patients (a) had the highest average survival time? (b) had the lowest average survival time? (c) had the most consistent survival times (least variation)? (d) had the least consistent survival times (most variation)? (e) had a standard deviation that was almost equal to the mean? (f) Colon cancer patients’ survival times were less / more consistent than stomach cancer patients’ survival times. (g) On average, ovarian cancer patients’ survival times differed from 884.3 days by about . (h) A breast cancer patient had a survival time of 1000 days. Was this within one standard deviation of the mean or was it further out? Enter "within" or "further out".

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Transcript

00:01 Okay, so we've got some mean and standard deviations for different types of cancer.

00:04 Okay, so i'm just going to write them down really quick.

00:07 So for breast cancer, we have the mean and the standard deviation for each.

00:13 So mean is 1395 .9 and seren deviation 1 -239 .3 .0.

00:23 Bronchial, we've got 211 .6 and 209 .9, colon, 457 .4, and 427 .2.

00:38 It's just going to be a lot easier to answer all these questions if we can see the values here.

00:43 So 884 .3, 1098 .6.

00:47 And stomach 286 .0 and 346 .3.

00:56 And these are survival times, okay, in days.

01:02 So the first question says which type of cancer patients had the highest average, so that would be the highest mean, right? so that would be breast cancer because obviously the mean here, right, for a, that's the greatest mean, right? it's higher than the 211, 4957.

01:30 They're only looking at the mean we're not worrying about standard deviation.

01:33 Okay.

01:34 For b, the lowest average survival time would be this one, right? the bronchial.

01:48 For c, the most consistent survival times are the least variation.

01:54 That would be the lowest standard deviation.

01:57 Okay.

01:58 So the lowest standard deviation is the is the most consistent...

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