For the following sample, what is the z-score value of 18 14, 18, 26, 28, 34 -0.75 -1.35 -1.25 -0.95 ChatGPT To calculate the z-score of a value in a sample, we use the formula: = Mean Standard Deviation z= Standard Deviation xMean Where: x is the value in the sample. Mean is the mean (average) of the sample. Standard Deviation is the standard deviation of the sample. Given the sample: 14, 18, 26, 28, 34 Step 1: Calculate the mean: Mean = 14 + 18 + 26 + 28 + 34 5 = 120 5 = 24 Mean= 5 14+18+26+28+34 = 5 120 =24 Step 2: Calculate the standard deviation: Variance = ( 14 24 ) 2 + ( 18 24 ) 2 + ( 26 24 ) 2 + ( 28 24 ) 2 + ( 34 24 ) 2 5 Variance= 5 (1424) 2 +(1824) 2 +(2624) 2 +(2824) 2 +(3424) 2 = 100 + 36 + 4 + 16 + 100 5 = 256 5 = 51.2 = 5 100+36+4+16+100 = 5 256 =51.2 Standard Deviation = 51.2 7.15 Standard Deviation= 51.2 7.15 Step 3: Calculate the z-score for the value 18: = 18 24 7.15 = 6 7.15 0.84 z= 7.15 1824 = 7.15 6 0.84 So, the z-score value of 18 in this sample is approximately -0.84. Among the provided options, none exactly matches the calculated z-score of approximately -0.84. However, the closest option is -0.95