You are a researcher studying the lifespan of a certain species of bacteria. From a previous study, it was found that the standard deviation was 5.6 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.45 hours at a 98% level of confidence. What sample size should you gather to achieve a 0.45 hour margin of error?

The sample size is  

Step-by-step explanation:

From the question we are that

    The standard deviation is  

     The margin of error is  

From the question we are told the confidence level is  98% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the sample size is mathematically represented as  

=>  

=>  

.19875994384

step-by-step explanation:

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