er would like to answer the following research question: On average, are for-profit nursing homes larger (based on total number of beds) than facilities of another type (non-profit and governmental)? What would be the appropriate test be to answer the research question above assuming 1) normal distribution and 2) skewed data distribution? Explain results, conclusions, assum
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
A health care researcher would like to answer the following research question: On average, are for-profit nursing homes larger (based on total number of beds) than facilities of another type (non-profit and governmental)?
What would be the appropriate test be to answer the research question above assuming 1)
Explain results, conclusions, assumptions
![Paired Samples Statistics
Std
Deviation
Std. Error
Mean
Mean
N
Pair 1 Total Number of Beds
108.13
400
53.642
2.682
for profit=1, nonprofit
and GV=0
.7075
400
.45548
.02277
Paired Samples Correlations
N
Correlation
Sig.
Pair 1 Total Number of Beds &
for profit=1, nonprofit
and GV=0
400
.112
.024
Paired Samples Test
Paired Differences
95% Confidence Interval of
the Difference
Std.
Deviation
Std. Error
Mean
Sig. (2-
tailed)
Mean
Lower
Upper
df
Pair 1 Total Number of Beds -
for profit=1, nonprofit
and GV=0
107.42500
53.59296
2.67965
102.15701
112.69299
40.089
399
.000
Paired Samples Effect Sizes
Standardizera
95% Confidence Interval
Point
Estimate
Lower
Upper
Pair 1 Total Number of Beds - Cohen's d
for profit=1, nonprofit
and GV=0
53.593
2.004
1.834
2.174
Hedges' correction
53.643
2.003
1.832
2.172
a. The denominator used in estimating the effect sizes.
Cohen's d uses the sample standard deviation of the mean difference.
Hedges' correction uses the sample standard deviation of the mean difference, plus a correction factor.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc734b4fa-0a8f-4b64-ae0a-4092f7bda12a%2Fead86700-58ea-4e58-9237-57ede5893e77%2F4qllwur_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)