Among a random sample of 500 college students, the mean number of hours worked per week at non-college-related jobs is 14.6. this mean lies 0.4 standard deviations below the mean of the sampling distribution. if a second sample of 500 students is selected, what is the probability that for the second sample, the mean number of hours worked will be less than 14.6?

The probability that for the second sample of 500 college students, the mean number of hours worked will be less than 14.6 is 0.6554

Step-by-step explanation:

The sampling distribution of the sample mean is given by a normal distribution with mean and variance , where is the mean and is the variance of the population that generates the data. In this way the random variable;

is a standard normal variable. As , then .

σк тнє αиѕωєя ιѕ (α.)

нσρє ι ¢συℓ∂ нєℓρ υ