A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters, for a sample of 8 adults. The following table presents the results. Systolic Diastolic 124 84 106 84 102 77 113 77 118 66 117 87 130 74 115 70 The least-squares regression line y=b0+b1x=89.5234-0.1051x and Σ(x-x bar) squared =569.8750 are known for this data. Use the P-value method to test H0:β1=0 versus H1:β1<0. Can you conclude that systolic blood pressure is useful in predicting diastolic blood pressure? Use the α=0.10 level of significance and the TI-84 calculator. Compute the test statistic. Always round t-score values to three decimals places.

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
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Chapter29: Tolerance, Clearance, And Interference
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A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters, for a sample of 8 adults. The following table presents the results.

Systolic Diastolic
124
84
106
84
102
77
113
77
118
66
117
87
130
74
115
70

The least-squares regression line y=b0+b1x=89.5234-0.1051x and Σ(x-x bar) squared =569.8750 are known for this data. Use the P-value method to test H0:β1=0 versus H1:β1<0. Can you conclude that systolic blood pressure is useful in predicting diastolic blood pressure? Use the α=0.10 level of significance and the TI-84 calculator.

Compute the test statistic. Always round t-score values to three decimals places.



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