[9] X is a Gaussian random variable with variance 0.25. The mean of X is estimated by taking the sample mean of independent samples of X. If the mean needs to be estimated within 0.01 from the actual mean with a confidence coefficient of 0.99, find the minimum number of samples needed in the estimation.

The minimum number of samples required is    

Step-by-step explanation:

From the question we are told that

    The variance is  

    The margin of error is

From the question we are told the confidence coefficient is  0.99 , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the standard deviation is

=>  

=>  

Generally the sample size is mathematically represented as  

=>      

=>              

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step-by-step explanation:

answer: -1

step-by-step explanation: