The following table contains the measurements of the key length dimension from a fuel injector. These samples of size five were taken at one$-$hour intervals. Use three$-$sigma control limits$.$ Use Exhibit $13\mathrm{.}7.$

SAMPLE NUMBER OBSERVATIONS

$12345$

$10\mathrm{.}3150\mathrm{.}5010\mathrm{.}4950\mathrm{.}3980\mathrm{.}486$

$20\mathrm{.}3160\mathrm{.}5040\mathrm{.}5170\mathrm{.}4180\mathrm{.}521$

$30\mathrm{.}3170\mathrm{.}5000\mathrm{.}5080\mathrm{.}3980\mathrm{.}520$

$40\mathrm{.}3280\mathrm{.}5040\mathrm{.}4780\mathrm{.}3280\mathrm{.}482$

$50\mathrm{.}3270\mathrm{.}5060\mathrm{.}5230\mathrm{.}4550\mathrm{.}486$

$60\mathrm{.}3140\mathrm{.}4980\mathrm{.}4990\mathrm{.}4940\mathrm{.}502$

$70\mathrm{.}3650\mathrm{.}5120\mathrm{.}4920\mathrm{.}4790\mathrm{.}501$

$80\mathrm{.}3750\mathrm{.}5050\mathrm{.}4960\mathrm{.}4780\mathrm{.}495$

$90\mathrm{.}3240\mathrm{.}5040\mathrm{.}5150\mathrm{.}5010\mathrm{.}505$

$100\mathrm{.}3250\mathrm{.}4990\mathrm{.}5170\mathrm{.}5190\mathrm{.}493$

$110\mathrm{.}3980\mathrm{.}4780\mathrm{.}4540\mathrm{.}4980\mathrm{.}488$

$120\mathrm{.}3480\mathrm{.}4710\mathrm{.}5330\mathrm{.}5010\mathrm{.}524$

$130\mathrm{.}3580\mathrm{.}5120\mathrm{.}4940\mathrm{.}5220\mathrm{.}515$

$140\mathrm{.}3160\mathrm{.}5220\mathrm{.}4990\mathrm{.}5030\mathrm{.}507$

$150\mathrm{.}3440\mathrm{.}5170\mathrm{.}4950\mathrm{.}5190\mathrm{.}516$

$160\mathrm{.}3150\mathrm{.}5080\mathrm{.}4920\mathrm{.}4730\mathrm{.}522$

$170\mathrm{.}3050\mathrm{.}4860\mathrm{.}5140\mathrm{.}4850\mathrm{.}492$

$180\mathrm{.}3440\mathrm{.}4910\mathrm{.}4940\mathrm{.}4870\mathrm{.}492$

$190\mathrm{.}3650\mathrm{.}5280\mathrm{.}4790\mathrm{.}4930\mathrm{.}501$

$200\mathrm{.}4940\mathrm{.}4920\mathrm{.}4280\mathrm{.}5010\mathrm{.}512$

Calculate the mean and range for the above samples.