A systematic random sample was taken from the set of all Presidents of the United States....

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A systematic random sample was taken from the set of allPresidents of the United States. The data file potus heights.csvrandom sample includes the height (in inches) of each sampledPresident. (a) From this data, estimate the average height ofUnited States Presidents. Calculate two error bounds for yourestimate, one using the usual SRS formula, and one using thesuccessive difference variance estimator. (b) Which varianceestimator is more appropriate for these data? Briefly explain
president hgt
Van Buren 56
McKinley 57
Harrison 68
Carter 69
Roosevelt 70
Cleveland 71
Buchanan 72
Kennedy 72
AJackson 73
GHWBush 74
Lincoln 76

Answer & Explanation Solved by verified expert

3.8 Ratings (719 Votes)

president

hgt

Van Buren

McKinley

Harrison

Carter

Roosevelt

Cleveland

Buchanan

Kennedy

Ajackson

GHWBush

Lincoln

Average height of United states president=

68.90909

variance=

38.80992

Standard deviation=

6.229761

using normality asumption for simple srs we can compute error bounds

(68.9090-6.2297/sqrt(11))*1.96)

and

(68.9090+(6.2297/sqrt(11))*1.96)

65.22748

and

72.59052

at 5% los

method 2

successive difference variance method

variance =

(1-1/n)*Ïƒ² =

35.28175

and

STANDARD Deviation=

5.939844

using normality asumption we can obtain bounds

(68.9090-(5.9398/sqrt(11))*1.96)

and

(68.9090+(5.9398/sqrt(11))*1.96)

65.3988

and

72.4192

at 5% los

b) successive difference variance estimator is more appropriate for this data

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