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edited Jan 24, 2023 at 8:04

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It influences the Strength bonus for to hit and damage

For modifying or designing monsters there is guidance in the DMG starting on page 273. The guidance is that you either can start with an attack bonus based on challenge rating, as listed on page 274, and tweak that, or that you can calculate it as you would a character attack bonus (page 277):

The table provides the baseline attack bonus for each challenge rating. Feel free to adjust the attack bonus as you see fit to match whatever concept you have in mind. (…)

Calculate Attack BonuseBonusess. Alternatively, you can calculate a monster's attack bonuses the same way players calculate the attack bonuses of a character.
When a monster has an action that requires an attack roll, its attack bonus is equal to its proficiency bonus + its Strength or Dexterity modifier. A monster usually applies its Strength modifier to melee attacks and its Dexterity modifier to ranged attacks, although smaller monsters sometimes use Dexterity for both.

So there is no hard rule how to claculatecalculate it. That said, many if not most monsters in the Monster Manual follow exactly the logic of proficiency bonus plus Ability bonus, even if the imimp does not (it would need to have +5 to hit with 17 Dexterity).

Because the imp is tiny, it normally uses its Dexterity bonus also for melee attacks instead of its Strength. But nothing stops it from using Strength instead, if that is better.

If it has consumed a potion of giant strength for a +5 Strength bonus, as you also can attack with Strength bonus in melee, it would make sense for the imp to use the better attack and damage bonus from Strength. The minimal proficiency bonus is +2, so that would give it +7 to hit and +5 to damage, if you use the method of calculating the scores like for a character.

It influences the Strength bonus for to hit and damage

The table provides the baseline attack bonus for each challenge rating. Feel free to adjust the attack bonus as you see fit to match whatever concept you have in mind. (…)

Calculate Attack Bonuses. Alternatively, you can calculate a monster's attack bonuses the same way players calculate the attack bonuses of a character.
When a monster has an action that requires an attack roll, its attack bonus is equal to its proficiency bonus + its Strength or Dexterity modifier. A monster usually applies its Strength modifier to melee attacks and its Dexterity modifier to ranged attacks, although smaller monsters sometimes use Dexterity for both.

So there is no hard rule how to claculate it. That said, many if not most monsters in the Monster Manual follow exactly the logic of proficiency bonus plus Ability bonus, even if the im does not (it would need to have +5 to hit with 17 Dexterity).

Because the imp is tiny, it normally uses its Dexterity bonus also for melee attacks instead of its Strength. But nothing stops it from using Strength instead, if that is better.

It influences the Strength bonus for to hit and damage

The table provides the baseline attack bonus for each challenge rating. Feel free to adjust the attack bonus as you see fit to match whatever concept you have in mind. (…)

Calculate Attack Bonuses. Alternatively, you can calculate a monster's attack bonuses the same way players calculate the attack bonuses of a character.
When a monster has an action that requires an attack roll, its attack bonus is equal to its proficiency bonus + its Strength or Dexterity modifier. A monster usually applies its Strength modifier to melee attacks and its Dexterity modifier to ranged attacks, although smaller monsters sometimes use Dexterity for both.

So there is no hard rule how to calculate it. That said, many if not most monsters in the Monster Manual follow exactly the logic of proficiency bonus plus Ability bonus, even if the imp does not (it would need to have +5 to hit with 17 Dexterity).

Because the imp is tiny, it normally uses its Dexterity bonus also for melee attacks instead of its Strength. But nothing stops it from using Strength instead, if that is better.

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created Jan 24, 2023 at 7:37

Nobody the Hobgoblin

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It influences the Strength bonus for to hit and damage

The table provides the baseline attack bonus for each challenge rating. Feel free to adjust the attack bonus as you see fit to match whatever concept you have in mind. (…)

Calculate Attack Bonuses. Alternatively, you can calculate a monster's attack bonuses the same way players calculate the attack bonuses of a character.
When a monster has an action that requires an attack roll, its attack bonus is equal to its proficiency bonus + its Strength or Dexterity modifier. A monster usually applies its Strength modifier to melee attacks and its Dexterity modifier to ranged attacks, although smaller monsters sometimes use Dexterity for both.

Because the imp is tiny, it normally uses its Dexterity bonus also for melee attacks instead of its Strength. But nothing stops it from using Strength instead, if that is better.