Question

In: Math

PLEASE SOLVED THIS PROBLEM BY HAND AND IN MINITAB: The following data are direct solar intensity...

PLEASE SOLVED THIS PROBLEM BY HAND AND IN MINITAB:

The following data are direct solar intensity measurements (watts/m²) on different days at a location in southern Spain: 562, 869, 708, 775, 775, 704, 809, 856, 655, 806, 878, 909, 918, 558, 768, 870, 918, 940, 946, 661, 820, 898, 935, 952, 957, 693, 835, 905, 939, 955, 960, 498, 653, 730, and 753. Calculate the sample mean and sample standard deviation. Prepare a dot diagram of these data. Indicate where the sample mean falls on this diagram. Give a practical interpretation of the sample mean.

Solutions

Expert Solution

The given sample observations are,

562, 869, 708, 775, 775, 704, 809, 856, 655, 806, 878, 909, 918, 558, 768, 870, 918, 940, 946, 661, 820, 898, 935, 952, 957, 693, 835, 905, 939, 955, 960, 498, 653, 730, and 753.

xi xi-xbar (xi-xbar)^2
562 -248.514 61759.34985
869 58.48572 3420.578859
708 -102.514 10509.17863
775 -35.5143 1261.264439
775 -35.5143 1261.264439
704 -106.514 11345.29291
809 -1.51428 2.293059061
856 45.48572 2068.950269
655 -155.514 24184.69284
806 -4.51428 20.37876906
878 67.48572 4554.321729
909 98.48572 9699.436059
918 107.4857 11553.17893
558 -252.514 63763.46413
768 -42.5143 1807.464429
870 59.48572 3538.550289
918 107.4857 11553.17893
940 129.4857 16766.55039
946 135.4857 18356.37897
661 -149.514 22354.52142
820 9.485715 89.97878906
898 87.48572 7653.750329
935 124.4857 15496.69324
952 141.4857 20018.20755
957 146.4857 21458.0647
693 -117.514 13809.60718
835 24.48572 599.5502391
905 94.48572 8927.550339
939 128.4857 16508.57896
955 144.4857 20876.12184
960 149.4857 22345.97899
498 -312.514 97665.17833
653 -157.514 24810.74998
730 -80.5143 6482.550089
753 -57.5143 3307.892979
total 559830.7429

By using minitab,

Dotplot of sample observations


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