Question
In: Statistics and Probability
The blood pressure measurements of a single patient were taken by twelve different medical students and...
The blood pressure measurements of a single patient were taken by twelve different medical students and the results are listed below. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using
alphaαequals=0.050.05.
Is there sufficient evidence to conclude that there is a linear correlation between systolic measurements and diastolic measurements?
|
systolic (x) |
137137 |
133133 |
139139 |
120120 |
126126 |
121121 |
128128 |
128128 |
129129 |
143143 |
143143 |
138138 |
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
diastolic (y) |
9595 |
9393 |
101101 |
8585 |
8989 |
8080 |
8181 |
8484 |
8080 |
9595 |
105105 |
9797 |
What are the null and alternative hypotheses?
Solutions
Expert Solution
below is scatter plot:
| null hypothesis: Ho: ρ | = | 0 | |
| Alternate Hypothesis: Ha: ρ | ≠ | 0 | |
| correlation coefficient r= | Sxy/(√Sxx*Syy) = | 0.851 | |
| test stat t= | r*(√(n-2)/(1-r2))= | 5.127 |
| P value = | 0.0004 |
reject Ho and conclude that there is a linear correlation between systolic measurements and diastolic measurements
orchestra answered 2 years agoRelated Solutions
The blood pressure measurements of a single patient were taken by twelve different medical students and...
The blood pressure measurements of a single patient were taken
by twelve different medical students and the results are listed
below. Answer parts a-c.
systolic (x)
138
132
141
119
123
120
127
129
125
143
142
138
diastolic (y)
92
91
99
84
88
82
83
84
82
96
104
97
a. Find the value of the linear correlation coefficient r.
b. Find the critical values of r from the table showing the
critical values for the Pearson correlation...
The results of the blood pressure measurements taken of the same patient by fourteen different second-year medical students are listed in the table below.
The results of the blood pressure measurements taken of the same patient by fourteen different second-year medical students are listed in the table below.
Systolic Diastolic
138 82
130 91
135 100
140 100
120 80
125 90
120 80
130 80
130 80
144 98
143 105
140 85
130 70
150 100
a. Use your graphing calculator, construct a scatter-plot of the data. Sketch...
3) Five different second-year medical students took blood pressure measurements of the same patient and the...
3) Five different second-year medical students took blood
pressure measurements of the same patient
and the results are listed below. The goal of this research project
is to determine if the diastolic BP and
patients systolic BP are correlated. The following data are for
five BP readings.
Systolic Diastolic
138 84
135 88
122 81
130 86
140 91
a. Provide a scatterplot of the data below. Label and put
numbers along the axes.
b. Calculate and interpret the sample...
Fourteen different second-year medical students took blood pressure measurements of the same patient and the results...
Fourteen different second-year medical students took blood
pressure measurements of the same patient and the results are
listed below (data provided by Marc Triola, M.D.) Is there a
correlation between systolic and diastolic values?
Systolic
138 130 135 140 120 125 120 130 130 144 143 140 130 150
Diastolic
82 91 100 100 80 90 80 80 80 98 105 85 70 100
a. Hypothesis
b. Test Statistics
c. P-value
d. Find the r value
e. Conclusion
The results of the blood pressure measurements taken of the same patient by fourteen different second-year...
The results of the blood pressure measurements taken of the same
patient by fourteen different second-year medical students are
listed in the table below.
Systolic Diastolic
138
82
130
91
135
100
140
100
120
80
125
90
120
80
130
80
130
80
144
98
143
105
140
85
130
70
150
100
a. Use a 5% level of significance to test
whether there is a...
#2) Fourteen second year medical students took blood pressure measurements of the same patient and...
#2) Fourteen second year
medical students took blood pressure measurements of the same
patient and the
results are listed below.
Systolic | 138
130 135 140
120 125
120 130
130 144
143 140
130 150
Diastolic | 82
91 100
100 80
90
80
80
80 98
105
85
70 100
Calculate the correlation coefficient.
Is there a significant correlation between systolic and
diastolic blood pressure?
Conduct an appropriate test to justify your answer (use a =
.05)....
The following sample data were obtained from different second-year medical students who took blood pressure measurements...
The following sample data were obtained from different
second-year medical students who took blood pressure measurements
of the same person. Conduct a formal hypothesis test to test for a
linear correlation between the systolic and diastolic readings. Use
a 0.05 significance level.
Systolic
138
130
135
140
120
Diastolic
82
91
100
100
80
Does there appear to be a linear correlation between the
systolic and diastolic readings?
Yes or No?
To characterize random uncertainty of a pressure measuring technique, twelve pressure measurements were made of a...
To characterize random uncertainty of a pressure measuring
technique, twelve pressure measurements were made of a certain
constant pressure source, giving the following results in kPa: 125,
128, 129, 122, 126, 125, 125, 130, 126, 127, 124, and 123. (a)
Estimate the 95% confidence interval of the next measurement
obtained with this technique; (b) Estimate the 95% confidence
interval of the average of next 5 measurements obtained with this
technique; (c) Using only the 12 measurements available, how would
you...
A sample of blood pressure measurements is taken for a group of adults, and those values...
A sample of blood pressure measurements is taken for a group of
adults, and those values (mm Hg) are listed below. The values are
matched so that 10 subjects each have a systolic and diastolic
measurement. Find the coefficient of variation for each of the two
samples; then compare the variation.
Systolic 116 128 156 95 155 124 118 135 124 121
Diastolic 82 76 73 51 91 87 57 62 71 82 1)
The coefficient of variation for the...
A sample of blood pressure measurements is taken for a group of adults, and those values...
A sample of blood pressure measurements is taken for a group of
adults, and those values (mm Hg) are listed below. The values are
matched so that 10 subjects each have a systolic and diastolic
measurement. Find the coefficient of variation for each of the two
samples; then compare the variation.
Systolic
120120
130130
157157
9494
154154
121121
114114
134134
126126
121121
Diastolic
8282
7676
7474
5353
9292
8989
5959
6262
7171
8383
The coefficient of variation for the systolic...
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