The systolic blood pressures of a sample of adults are norma

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 121 millimeters of mercury, 114 millimeters of mercury, 105 millimeters of mercury, and 126 millimeters of mercury. The graph of the standard normal distribution is shown to the right. Complete parts (a) through (c) below Without converting to z-scores, match the values with the letters A, B, C, and D on the given graph of the standard normal distribution. a= B= c= d= Find the z-score that corresponds to each value and check your answers to part (a) zA= zB = zc = zd= (Round to two decimal places as needed.) Determine whether any of the values are unusual, and classify them as either unusual or very unusual. Select the correct answer below and, if necessary, fill in the answer box(es) within your choice. The unusual value(s) is1 are , The very unusual value(s) is/are (Use a comma to separate answers as needed.) The very unusual value(s) is/ are The unusual value(s) is/are very unusual. (Use a comma to separate answers as needed.) The unusual value(s) is/are There are no very unusual values. (Use a comma to separate answers as needed.) There are no unusual or very unusual values.

Solution

a.) A=105,B=114,C=121,D=126

b.) Za=-2.78 , Zb=-0.28, Zc=1.67,Zd=3.06

c.) The unusual value is-2.78 and the very unusual value is 3.06.