The u. s. bureau of labor statistics reports that of persons who usually work full-time, the average number of hours worked per week is 43.4. assume that the number of hours worked per week for those who usually work full-time is normally distributed. suppose 12% of these workers work more than 48 hours. based on this percentage, what is the standard deviation of number of hours worked per week for these workers?

The standard deviation of number of hours worked per week for these workers is 3.91.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem we have that:

The average number of hours worked per week is 43.4, so .

Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.

This means that the Z score of has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use .

The standard deviation of number of hours worked per week for these workers is 3.91.

answer: 88

step-by-step explanation: