Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 9 min and standard deviation 2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min?

When the  sample size is   ,

When the  sample size is   ,

Step-by-step explanation:

From the question we are told that

  The mean is    

   The standard deviation is

    The first sample size is  

    The second sample size is  

Generally the standard error of the mean is mathematically represented as

=>    

When the  sample size is   ,

Generally the standard error of the mean is mathematically represented as

=>    

=>    

Generally the probability that the sample average amount of time taken on each day is at most 11 min is mathematically represented as

From the z table  the area under the normal curve to the left corresponding to  2.24 is

=>  

When the  sample size is   ,

Generally the standard error of the mean is mathematically represented as

=>    

=>    

Generally the probability that the sample average amount of time taken on each day is at most 11 min is mathematically represented as

From the z table  the area under the normal curve to the left corresponding to  2.24 is

=>  

29 mil

step-by-step explanation:

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step-by-step explanation: