Given that the systolic blood pressure in the right arm is 90 mm Hg, the best systolic blood pressure in the left arm is how many mm Hg?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Given that the systolic blood pressure in the right arm is 90 mm Hg, the best systolic blood pressure in the left arm is how many mm Hg?
![Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the
right arm is 85 mm Hg. Use a significance level of 0.05.
Right Arm
103
102
94
77
78 O
Left Arm
176
171
145
147
146
Click the icon to view the critical values of the Pearson correlation coefficient r
The regression equation is y = 76.8 + 0.9 x.
(Round to one decimal place as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a7e73ff-a9ce-4410-967b-6da5cece726a%2Fd47f356b-dcd3-44b2-a96e-5a5d7532b4ca%2Fliy9lq_processed.png&w=3840&q=75)
![Data Table
Critical Values of the Pearson Correlation Coefficientr
NOTE: To test Ho:
|p = 0 against H:p#0,
reject H, if the absolute
value of r is greater
than the critical value in
Ithe table.
x = 0.05
x = 0.01
4
0.950
0.990
0.878
0.959
0.811
0.917
7
0.754
0.875
8
0.707
0.834
9.
0.666
0.798
10
0.632
0.765
11
0.602
0.735
12
0.576
0.708
13
0.553
0.684
14
0.532
0.661
15
0.514
0.641
16
0.497
0.623
17
0.482
0.606
18
0.468
0.590
19
0.456
0.575
20
0.444
0.561
25
0.396
0.505
30
0.361
0.463
35
0.335
0.430
40
0.312
0.402
45
0.294
0.378
50
0.279
0.361
60
0.254
0.330
70
0.236
0.305
80
0.220
0.286
90
0.207
0.269
100
0.196
0.256
Print
Done](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a7e73ff-a9ce-4410-967b-6da5cece726a%2Fd47f356b-dcd3-44b2-a96e-5a5d7532b4ca%2Fdhj5ynf_processed.png&w=3840&q=75)
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