Question

Government data indicates that the mean hourly wage for manufacturing jobs in the US is $18.50. Suppose the distribution of the manufacturing wage rates nationwide can be approximated by a normal distribution with standard deviation of $1.25 per hour. the first manufacturing firm contacted by a particular worker seeking a new job pays $19.80 per hour.

A. If the worker were to undertake a nationwide job search, approx what proportion of the wage rates would be greater than $19.80?

B. If the worker were to randomly select a US manufacturer firm, what is the probability the firm would Pau more than $19.80?

C. The population median suppose n of a continuous random variable x is the value such that P(x greater than or equal to n)= P(x Less than or equal to n)= . 5- that is, the median is the value n such that half of the area under the probability distribution lies above n and half lies below it. find the median of the random variable corresponding to the wage rate and compare it to the mean wage rate.

Answer 1