Let x represent the sample mean hourly wage for a group of 90 females To...
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Let x represent the sample mean hourly wage for a group of 90 females To be within 1 00 of the population mean of 27 83 gives a range of hourly wages between 27 83 1 00 26 83 26 83 and 27 83 1 00 28 83 28 83 Therefore the desired probability that a sample mean of 90 females is within 1 00 of the population mean is P 26 83 Step 5 The mean hourly wage for females is given to be 27 83 with a standard deviation of 4 10 Both values are representative of the population but we are to determine P 26 83 x 28 8 for a sample of 90 female graduates Since we are dealing with the probability for a sample mean x instead of a particular value of x the calculation for z will now account for the sample mean x and standard error o X Z Z Find the z value corresponding to x 26 83 rounding the result to two decimal placks x O Z n 26 83 27 83 X H ox 0 90 x Find the z value corresponding to x 28 83 rounding the result to two decimal places x 28 83 27 83 O n 26 83 x 28 83 28 83
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