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a company manufactures rice in 10 kg bags with a standard deviation of 1.25 kg per bag. what is the probability that a random sample of 15 bags will have a mean between 9 and 9.5 kgs?



Answer :

tutorconsortium270

Probability that a random sample of 15 bags will have a mean between 9 and 9.5 kgs is 0.0596.

What is probability ?

  • Probability is simply the possibility that something will happen.
  • We may talk about the possibility of one result, or the likelihood of numerous outcomes, when we don't know how an event will turn out.
  • The study of events with a probability distribution is known as statistics.

Calculation

[tex]\sigmaT = \sigma / \sqrtn = 1.25 / \sqrt15 = 0.3227[/tex]

[tex]= P[(9 - 10) / 0.3227 < (T - \muT ) / \sigmaT < (9.5 - 10) / 0.3227)][/tex]

= P(-3.10 < Z < -1.55)

= P(Z < -1.55) - P(Z < -3.10)  

= 0.0606 - 0.001

=  0.0596

Probability that a random sample of 15 bags will have a mean between 9 and 9.5 kgs = 0.0596

learn more about probability here :

brainly.com/question/11234923

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