Answer:
Company B is more likely to produce a box of 260 roofing nails.
Step-by-step explanation:
Company A :
Mean = 272 nails
Standard deviation = 5.4 nails
Roofing nails expected to be produced = 260
⇒ 260 = 272 + z × 5.4
⇒ z = -2.222
Hence, Company A has a chance of 1.32% of producing exactly or fewer than 260 boxes of roofing nails.
Company B :
Mean = 249 nails
Standard deviation = 3.8 nails
Roofing nails expected to be produced = 260
⇒ 260 = 249 + z × 4.8
⇒ z = 2.895
Hence, Company B has a chance of 0.19% of producing exactly or more than 260 boxes of roofing nails.
Therefore, Company B is more likely to produce a box of 260 roofing nails.
