Question

The table gives systolic blood pressure readings for Intensive Care Unit patients in their teens and those in their eighties.

Teen	100	100	104	104	112	130	130	136	140	140	142	146	156
Eighties	80	100	100	110	110	122	130	135	136	138	140	141	162	190	190

A) Plot systolic blood pressure side-by-side boxplot for teen and eighties, compare the spread of systolic blood pressure for each group.

	Q1	Q3
Teen	104	140
Eighties	110	140.5

B) Find and interpret a 95% confidence interval for the mean systolic blood pressure for each group.

C) Find and interpret a 95% confidence interval for the difference of the mean systolic blood pressure between the teen and eighties.

E) Test to see if there is a difference in systolic blood pressure readings between ICU patients in their teens and those in their eighties? a level is 0.05.

Answer 1

A) Systolic blood pressure side-by-side boxplot for teen and eighties

	Q1	Q3	Median	IQR = Q3-Q1	Outliers	Whiskers
Teen	104	141	130	37	No	100-156
Eighties	110	141	135	31	Yes, 2 outliers	80-162

B)95% confidence interval for the mean systolic blood pressure for each group.

95% confidence for the mean of systolic blood pressure for Teen,

For teen,

t = 2.1790

C.I = ( 114.65 , 137.65)

Mean systolic blood pressure for teen is within (114.65 , 137.65)

95% confidence for the mean of systolic blood pressure for Eighties,

For Eighties,

t = 2.1450

C.I = ( 114.12 , 149.08)

Mean systolic blood pressure for eighties is within (114.12, 149.08)

C) 95% confidence interval for the difference of the mean systolic blood pressure between the teen and eighties.

Estimate for difference: 5.45

C.I = ( -14.52 , 25.42)

the difference of the mean systolic blood pressure between the teen and eighties is within (-14.52 , 25.42)

D)The test statistic is given by,

t = 0.56

P-value = 0.548 < 0.05

Hence, there is no difference in systolic blood pressure readings between ICU patients in their teens and those in their eighties at level 0.05.

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