According to a theory in psychology, young female adults show more emotional empathy toward others than do males. A study tested this theory by examining the attitudes of a sample of 35 female college students. Each student completed the Ethic of Care Interview, which consisted of a series of statements on empathy attitudes. For the statement on emotional empathy, the sample mean response was 3.32. Assume the population standard deviation for female is 0.5. Note that empathy scores ranged from 0 to 4, where 0 = "never" and 4 = "always". Suppose it is known that male college students have an average emotional empathy score of u =3. Complete parts a through e below. a. Specify the null and alternative hypothesis for testing whether female college students score higher than 3.0 on the emotional empathy scale. B. Ho:H=3 O A. Ho: H=3 Ha: > 3 O D. Ho: H=3 OC. Ho: H#3 H3: u= 3 Ha: H<3 b. Compute the test statistic. z= (Round to two decimal places as needed.)
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.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images