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Can you please show me step by step how to solve this? I don't understand how to get the z value. A manufacturing process produces

Can you please show me step by step how to solve this? I don't understand how to get the z value.

A manufacturing process produces auto tires. A sample of miles at replacement is recorded below this question. At what milage should the warranty be set at for warranty replacement of .5% of the tires?

Mileage at Replacement
37916
44430
45021
46326
46590
47066
47073
47155
47351
47687
47849
47855
48046
48167
48305
48744
48877
49132
49157
49527
50076
50219
50247
50383
51002
51455
51479
51522
51630
51638
51731
51754
52144
52697
52771
52951
53111
53462
54290
54581

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