Question: please help me with this question under probability 7. The quality control department in a factory producing rope for a specialised marine use ran- domly

please help me with this question under probability

7. The quality control department in a factory producing rope for a specialised marine use ran- domly selects rope from the production line to test the quality of the rope. The ordered data for the breaking strength (in kilograms) for 15 randomly selected pieces of rope from this production line is shown in the table below. 3 380 3 390 3 410 3 430 3 430 3 440 3 450 3 480 3 480 3 490 3 500 3 505 3 510 3 515 3 540 Ex = 51 950 Ex = 179 953 350 (a) Construct a 95% confidence interval for the true average breaking strength of this brand of rope. (b) Construct a 90% confidence interval for the true average breaking strength of this brand of rope

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