A researcher wants to investigate sleeping patterns of people who adopt cats, specifically if they can fall asleep faster after petting the cat. He decides to test this by measuring seven participant blood pressure at night before owning a cat and after. Determine if blood pressure decreases after owning a furry friend. The mean difference between the before and after measurement is 23.4, with a standard deviation of 14. Use a significance level of 0.05. What is the critical value and test statistic ?
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.
A researcher wants to investigate sleeping patterns of people who adopt cats, specifically if they can fall asleep faster after petting the cat. He decides to test this by measuring seven participant blood pressure at night before owning a cat and after. Determine if blood pressure decreases after owning a furry friend. The
What is the critical value and test statistic ?
Given information-
Mean difference, d-bar = 23.4
Standard deviation, sd = 14
Sample size, n = 7
Significance level, α = 0.05
We have to test the claim that the blood pressure decreases after owning a furry friend.
Hypothesis Formulation
Null Hypothesis: Ho: µd = 0
Alternative Hypothesis: H1: µd > 0
Step by step
Solved in 2 steps with 1 images
