In 1955, Life Magazine reported that the 25 year-old mother of three worked, on average, an 80hour week. Recently, many groups have been studying whether or not the women's movement has, in fact, resulted in an increase in the average work week for women (combining employment and at-home work). Suppose a study was done to determine if the mean work week has increased. 85 women were surveyed with the following results. The sample mean was 83.5; the sample standard deviation was ten. Does it appear that the mean work week has increased for women at the 5% level? Use the p-value approach and clearly specify each step.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
In 1955, Life Magazine reported that the 25 year-old mother of three worked, on average, an 80hour week. Recently, many groups have been studying whether or not the women's movement has, in fact, resulted in an increase in the average work week for women (combining
employment and at-home work). Suppose a study was done to determine if the
Step by step
Solved in 2 steps
