Question

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 |

What is the value of r? Round to 3 decimal places.

Answer #1

Systolic(x) | Diastolic(y) |

138 | 82 |

130 | 91 |

135 | 100 |

140 | 100 |

120 | 80 |

The formula for correlation is

= 0.585

Our null and alternative hypothesis are

against

where denotes the population correlation coefficient

The test statistic is

= 1.249

The P-value is

= 0.15 x 2

= 0.3

Since P-value > (= 0.05) we have failed to reject the null hypothesis at 0.05 level of significance.

Thus we cannot claim that there is a linear correlation between systolic and diastolic readings.

Fourteen different second-year medical students at a hospital
measured the blood pressure of the same person. The systolic
readings (mm Hg) are listed below. Use the given data to construct
a boxplot and identify the 5-number summary. 148 145 135 138 120
125 133 130 125 149 120 140 147 150

Fourteen different second-year medical students at a hospital
measured the blood pressure of the same person. The systolic
readings (mm Hg) are listed below.
146 136 135 126 120 125 131 130 123 124 125 140 127 150
a) Find the 5-number summary.
b) Construct a regular boxplot.

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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 ...

Six different second-year medical students at Bellevue Hospital
measured the blood pressure of the same person. The systolic
readings (in mmHg) are listed below. Find the range, variance,
and standard deviation for the given sample data. If the subject's
blood pressure remains constant and the medical students correctly
apply the same measurement technique, what should be the value of
the standard deviation?
146 137 120 138 138
137146 137 120 138 138 137

Fourteen different second-year medical students at a hospital
measured the blood pressure of the same person. The systolic
readings (mm Hg) are listed below. Use the given data to construct
a boxplot and identify the 5-number summary. 142 129 135 143 120
125 131 130 134 140 136 140 147 150 The 5-number summary is
nothing, nothing, nothing, nothing, and nothing, all in mm Hg.
(Use ascending order. Type integers or decimals. Do not
round.)

Six different second-year medical students at Bellevue Hospital
measured the blood pressure of the same person. The systolic
readings (in mmHg) are listed below. Find the range, variance,
and standard deviation for the given sample data. If the subject's
blood pressure remains constant and the medical students correctly
apply the same measurement technique, what should be the value of
the standard deviation?
146 137 120 138 138 137

The following table show the systolic blood pressure and the
diastolic blood pressure readings for six adults:
Show formulas used and how each determination/sum is
calculated.
Systolic (X) 110, 153, 120, 143, 100, 112
Diastolic (Y) 70, 110, 80, 98, 70, 75
a) Determine the linear correlation coefficient (r)
b) At alpha equal to 0.05, determine whether a correlation
exists (test R)
c) Determine the regression equation and determine the standard
error.
d) Estimate the diastolic blood pressure for an...

Recorded in the table below are the blood pressure measurements
(in millimeters) for a sample of 12 adults. Does there appear to be
a linear relationship between the diastolic and systolic blood
pressures? At the 5% significance level, test the claim that
systolic blood pressure and diastolic blood pressure have a linear
relationship.
Systolic
Diastolic
107
71
110
74
133
91
115
83
118
88
134
87
123
77
154
94
119
69
130
76
108
69
112
75
Data...

The data show systolic and diastolic blood pressure of certain
people. Find the regression equation, letting the systolic reading
be the independent (x) variable. Find the best predicted diastolic
pressure for a person with a systolic reading of 137. Is the
predicted value close to 91.3, which was the actual diastolic
reading? Use a significance level of 0.05.
Systolic Diastolic
122 62
134 71
143 80
140 80
135 100
113 59
110 82
145 105
What is the regression...

Recorded in the table below are the blood pressure measurements
(in millimeters) for a sample of 12 adults. Does there appear to be
a linear relationship between the diastolic and systolic blood
pressures? At the 5% significance level, test the claim that
systolic blood pressure and diastolic blood pressure have a linear
relationship.
Systolic
Diastolic
116
70
154
94
134
87
107
71
119
69
133
91
115
83
113
77
112
75
110
74
118
88
157
103
Data...

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