In a large human population, cranial length is approximately normally distributed with a mean of 185.6 mm and a standard deviation of 12.7 mm. What is the probability that a random sample of size 10 from this population will have a mean less than than 180? a. 0.0174 b. 0.1357 c. 0.0823 d. -1.39

The correct option is  c

Step-by-step explanation:

From the question we are told that

   The mean is  

   The standard deviation is  

   The sample size is  n = 10  

    Generally the standard error of the mean is mathematically represented as

=>    

=>    

Generally the probability that a random sample of size 10 from this population will have a mean less than than 180 is mathematically represented as

From the z table  the area under the normal curve to the left corresponding to    -1.394  is  

=>      

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step-by-step explanation: