This Quiz 60 pts possi The systolic blood pressures of a sam

This Quiz: 60 pts possi The systolic blood pressures of a sample of adults are normally distributed. with a mean pressure of 115 millimeters of mercury and a standard deviation of 3,6 millimeters of mercury. The systolic blood pressures of four adults selected at random are 122 millimeters of 113 millimeters of mercury, 107 millimeters of mercury, and 128 millimeters of mercury.The graph of the standard normal distribution is shown to the right. Complete parts (a) through (c)below. (a) Without converting to z-scores, match the values with the letters A B, C, and Don the given graph of the standard normal distribution A (ype whole numbers) (b) Find the z-score that corresponds to each value and check your answers to part (a) (Round to two decimal places as needed.) whether any of the values are unusual, and classify them as either unusual or very unusual. Select the comect answer below and, if necessary, in the answer box(es) within your choice. O A. The unusual value(s) islare The very unusual value(s) is/are (Use a comma to separate answers as needed.) Click to select your answer(s)

Solution

a)

A = 107
B = 113
C = 122
D = 128

b)

Mean = u = 115
SD = 3.6

zA = (x - u) / SD
zA = (107 - 115) / 3.6
zA = -2.22 --> FIRST ANSWER

zB = (x - u)/SD
zB = (113 - 115)/3.6
zB = -0.56 --> SECOND ANSWER

zC = (x - u) / SD
zC = (122 - 115)/3.6
zC = 1.94 --> THIRD ANSWER

zD = (x - u) / SD
zD = (128 - 115)/3.6
zD = 3.61 --> FOURTH ANSWER