25. Use the table below to find the percentage ol data items in a normal distrib

Question

25. Use the table below to find the percentage ol data items in a normal distribution that lie a. below and b. above a z-score of z-score 0.10.2 0.3 040.5 0.6 0.70.8 0.9 1.0 Percentile |53.9 5793 61.79|66.54|69. 1572.57|7580|78.81|81.50|84. 13 -score1.1 1.21.3 1.41.5 1.61.7 181.9 2.0 Percentile 86.43 88.49 90.32 91.92 93.32 94.52 95.54 9841 97.13 97.72 score 21 22 23 24 2.5 2.6 2.7 28 2.9 3.0 Percentile 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74 99.81 99.87 a. The percentage of data items that lie below the z-score is b. The percentage of data items that lie above the z-score is 26. Use the table below to find the percentage of data Rems in a normal distribution thet lie a. below and b. above a z-score of -2.2 score3.0-2.9 28 -2 rcentile 0.13 0.19 0.26 0.35 0.47 0.62 082 1.071.3 score 2.0-1.9 -1.81.7 228 2.87 3.59 446 5.48 6.68 8.08 9.68 11.51 13.57 20.1 rcentile 1.0 0.9 -0.8 -0.7 0.5-0.4 -0.3 a. The percentage of data items that lie below the z-score is b. The percentage of data items that lie above the z-score is 27. Use the table below to find the percentage of data tems in a normal distribution that lie between z 0.9 and z-2.8. 0.1 0.2 0304 0.5 06 0.7 0.8 09 1.0 Percentile 53.98 57.93 61.79 65.54 69.15 72.57 75.80 78.81 81.59 84.13 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 Percentile 8643 88.49 90.32 91.92 93.32 94.52 9554 96.41 97.13 97.72 Percentile |98.21|98.61|98.93|9 18| s| ·24Jo 197 The percentage of data items in a normal distribution that lie between z=0.9 and z#2.8 is 28. Use the table below to find the percentage of data Rems in a normal distribution that lie between z 0.9 and z3 score 0.1 0.2 0.3 04 0.5 0.6 0.7 0.8 0.9 1.0 Percentile 53.98 57.93 61.79 65.54 69.15 72.57 75.80 78.81 81.59 84.13 -score 1.1 1. 1.3 1.4 | 1.5 | 1.6 1.7 1.8 1.9 2.0 Percentile 86.43 88.49 90.32 91.92 93.32 94.52 95.54 9641 97.13 97.72 z-score 2.1 2.2 2.3 24 2.5 2.6 2.7 2.8 29 3.0 Percentile 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74 99.81 99.87 The percentage of data items in a normal distribution that lie between z#0.9 and z 3is

Explanation / Answer

I am solving Q25 and Q26 (first four sub-parts) as per Chegg guidelines, post multiple question to get the remaining answers

Q25)

a) P(Z<1.1) = 86.43%

b) P(Z>1.1) = 1 - P(Z<1.1) = 1 - 0.8643 = 13.57%

Q26)

a) P(Z<-2.2) =1.39%

b) P(Z>-2.2) = 1 - P(Z<-2.2) = 1 - 0.0139 = 98.61%

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