14. Consider the following set of ungrouped sample data. Answer parts A through D. 4 3 4 4 0 1 2 567 (A) Find the mean and standard deviation of the ungrouped sample data. x= (Type an integer or a decimal.) naciq lamişeb out of bruot (Type an integer or decimal rounded to three decimal places as needed.) S= (B) What proportion of the measurements lies within 1 standard deviation of the mean? Within 2 standard c Within 3 standard deviations? % of the data values fall within 1 standard deviation of the mean. % of the data values fall within 2 standard deviations of the mean. % of the data values fall within 3 standard deviations of the mean. (C) Based on your answers to part (B), would you conjecture that the histogram is approximately bell shap A. No, because most of the data values fall farther than 3 standard deviations from the mean. B. Yes, because about the same number of data values fall near the mean as fall farther above and below the mean. OC. No, because most of the data values fall between 2 and 3 standard deviations from the mean. OD. Yes, because most of the data values fall near the mean with fewer data values farther from the mean.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Consider the following set of ungrouped sample data. Answer parts A through D.eu (30) 9 ildedor Br
14.
4 3 4 4 0 1 2 5 67
(A) Find the mean and standard deviation of the ungrouped sample data.
(Type an integer or a decimal.)
(Type an integer or decimal rounded to three decimal places as needed.)
(B) What proportion of the measurements lies within 1 standard deviation of the mean? Within 2 standard d
Within 3 standard deviations?
% of the data values fall within 1 standard deviation of the mean.
% of the data values fall within 2 standard deviations of the mean.
% of the data values fall within 3 standard deviations of the mean.
(C) Based on your answers to part (B), would you conjecture that the histogram is approximately bell shap
Frequency
XI
X=
S=
:35 AM
mean.
M
OC. No, because most of the data values fall between 2 and 3 standard deviations from the
OA. No, because most of the data values fall farther than 3 standard deviations from the mean.
OB. Yes, because about the same number of data values fall near the mean as fall farther above
and below the mean.
10-
8-
6-
OD. Yes, because most of the data values fall near the mean with fewer data values farther from
the mean.
ans woy Vi
(D) To confirm your conjecture, construct a histogram with the class interval width 1 starting at 0.5.
Which histogram below shows the data?
O A.
O B.
0-
0 2 4 6 6 8
Data Value
Frequency
10.
&
-2 0 2 4 6 8 10 12
Data Value
O C.
Frequency
4
0
2 4
Data Value
at least 1 specialist detects tuberculosis) = ₁9972
ound to four decimal places as needed.)
6
O D.
Frequency
6-
2-
(
0.
0
(S+*
2 4 6 8
Data Value
person with tuberculosis is given a chest x-ray. Four tuberculosis x-ray specialists examine each x-ray in
ecialists will detect tuberculosis in this person?
ch specialist can detect tuberculosis 77% of the time when it is present, what is the probability that at le
(0,77)
[(0.1) (1-0,7)
Transcribed Image Text:Consider the following set of ungrouped sample data. Answer parts A through D.eu (30) 9 ildedor Br 14. 4 3 4 4 0 1 2 5 67 (A) Find the mean and standard deviation of the ungrouped sample data. (Type an integer or a decimal.) (Type an integer or decimal rounded to three decimal places as needed.) (B) What proportion of the measurements lies within 1 standard deviation of the mean? Within 2 standard d Within 3 standard deviations? % of the data values fall within 1 standard deviation of the mean. % of the data values fall within 2 standard deviations of the mean. % of the data values fall within 3 standard deviations of the mean. (C) Based on your answers to part (B), would you conjecture that the histogram is approximately bell shap Frequency XI X= S= :35 AM mean. M OC. No, because most of the data values fall between 2 and 3 standard deviations from the OA. No, because most of the data values fall farther than 3 standard deviations from the mean. OB. Yes, because about the same number of data values fall near the mean as fall farther above and below the mean. 10- 8- 6- OD. Yes, because most of the data values fall near the mean with fewer data values farther from the mean. ans woy Vi (D) To confirm your conjecture, construct a histogram with the class interval width 1 starting at 0.5. Which histogram below shows the data? O A. O B. 0- 0 2 4 6 6 8 Data Value Frequency 10. & -2 0 2 4 6 8 10 12 Data Value O C. Frequency 4 0 2 4 Data Value at least 1 specialist detects tuberculosis) = ₁9972 ound to four decimal places as needed.) 6 O D. Frequency 6- 2- ( 0. 0 (S+* 2 4 6 8 Data Value person with tuberculosis is given a chest x-ray. Four tuberculosis x-ray specialists examine each x-ray in ecialists will detect tuberculosis in this person? ch specialist can detect tuberculosis 77% of the time when it is present, what is the probability that at le (0,77) [(0.1) (1-0,7)
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