The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 53.9 for a sample of size 24 and standard deviation 5.6. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 90% confidence level). Assume the data is from a normally distributed population. Enter your answer as a tri-linear inequality accurate to three decimal places. < μ < please teach using calculator method

The  estimate is

Step-by-step explanation:

From the question we are told that

    The sample mean is

     The sample size is  n =  24

      The standard deviation is  

Given that the confidence level is  90% the level of significance is mathematically represented as

Next we obtain the critical value of   from the normal distribution table.The value is  

The reason we are obtaining critical value of     instead of     is because    

represents the area under the normal curve where the confidence level interval (   ) did not cover which include both the left and right tail while  

is just the area of one tail which what we required to calculate the margin of error

NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)

Generally the margin of error is mathematically represented as

substituting values

The  estimate of how much the drug will lower a typical patient's systolic blood pressure(using a 90% confidence level) is mathematically represented as

substituting values

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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3