Question

In: Statistics and Probability

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

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.

Solutions

Expert Solution

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.

****If you have any queries or doubts please comment below. if you're satisfied please give a like. Thank you!

orchestra answered 1 year ago
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