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The mean weight of a group of dogs in a dog show is 38 pounds. If a certain dog in the show
has a z-score of 0, how much does it weigh?


Sagot :

Answer:

The weight of dogs x = 38pounds

Step-by-step explanation:

Step(i):-

Given that the mean weight of a group of dogs

       μ = 38 pounds

Let 'x' be the weight of dogs

Let 'x' be the random variable in normal distribution

Given that z-score is zero

Step(ii):-

we know that the z-score

                   [tex]Z = \frac{x-mean}{S.D}[/tex]

            ⇒  [tex]0 = \frac{x-38}{S.D}[/tex]

            ⇒ 0 = x-38

           ⇒  x-38 = 0

          ⇒   x =38

Final answer:-

The weight of dogs x = 38pounds