Question
Asked Mar 15, 2020
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Find zα/2 for each of the following confidence levels used in estimating the population mean. (You may find it useful to reference the z tableRound your answers to 3 decimal places.)

88%=

 

 

 

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Expert Answer

Step 1

The normal distribution:

A continuous random variable X is said to follow normal distribution with mean µ and standard deviation σ if the probability density function of X is,Statistics homework question answer, step 1, image 1

Step 2

Calculating the z-value:

The required z-value is calculated as follows:

Statistics homework question answer, step 2, image 1

Step 3

The standard normal table is given below:

Statistics homework question answer, step 3, image 1

From the above table, it is clear that 0.60 is the average of the values 0.0606 and 0.0594. There for –Zα/2 is –1.555 (= (-1.55+-1.56)/2)

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