II. STATEMENT OF THE PROBLEM
As part of a longterm study of individuals 65 years of age or older, sociologists and physicians at the Wentworth Medical Center in upstate New York investigated the relationship between geographic location, health status ( healthy or one or more comorbidities), and depression. Random samples of 20 healthy individuals were selected from three geographic locations: Florida, New York, and North Carolina. Then, each was given a standardized test to measure depression (higher test scores indicate higher levels of depression). Similarly, random samples of 20 individuals with one or more comorbidities (arthritis, hypertension, and/or heart ailment) were taken from the three geographic locations. They were also given the standardized test to measure depression. The researches would also like to know the following: a. Using descriptive statistics to summarize the data from the two studies, what are your preliminary observations about the depression scores? b. Using ANOVA on both data sets, what is the hypotheses being tested in both cases? What are your conclusions? c. Use inferences about individual treatment means where appropriate. What are your conclusions? d. Discuss extensions of this study or other analyses that you feel might be helpful
III. DESCRIPTIVE STATISTICS
1. Data
Table 1.1 shows the data of 60 individuals chosen for the study. Medical 1 reflects test scores from a standardized test to measure depression of healthy 20 individuals from Florida, 20 from New York and 20 from North Carolina. Medical 2 indicates the scores from another set of individuals but this time, with comorbidities.
...range; quartiles; variance; standard deviation. Solution: A sample is a subset of a population. A population consists of every member of a particular group of interest. The variance and the standard deviation require that we know whether we have a sample or a population. 2. The following numbers represent the weights in pounds of six 7year old children in Mrs. Jones' 2nd grade class. {25, 60, 51, 47, 49, 45} Find the mean; median; mode; range; quartiles; variance;...
...
Student Exploration: Sight vs. Sound Reactions
Vocabulary: histogram, mean, normaldistribution, range, standard deviation, stimulus
Prior Knowledge Questions (Do these BEFORE using the Gizmo.)
Most professional baseball pitchers can throw a fastball over 145 km/h (90 mph). This gives the batter less than half a second to read the pitch, decide whether to swing, and then try to hit the ball. No wonder hitting a baseball is considered one...
...( 4 decimal places)
2. Find the value of z if the area under a StandardNormal curve
a) to the right of z is 0.3632;
b) to the left of z is 0.1131;
c) between 0 and z, with z > 0, is 0.4838;
d) between z and z, with z > 0, is 0.9500.
Ans : a) z = + 0.35 ( find 0.5 0.3632 = 0.1368 in the normal table)
b) z = 1.21 ( find 0.5 – 0.1131 = 0.3869 in the normal table)
c ) the...
...NORMALDISTRIBUTION
1. Find the
distribution:
a.
b.
c.
d.
e.
f.
following probabilities, the random variable Z has standardnormal
P (0< Z < 1.43)
P (0.11 < Z < 1.98)
P (0.39 < Z < 1.22)
P (Z < 0.92)
P (Z > 1.78)
P (Z < 2.08)
2. Determine the areas under the standardnormal curve between –z and +z:
♦ z = 0.5
♦ z = 2.0
Find the two values of z in standardnormal...
...
NormalDistribution
Student’s Name:
Instructorr:
Date ofSubmission:
The table 1 below shows a relationship between actual daily temperatures and precipitation in the month of January 2011. These data was adopted from a meterological station in the states of Alaska, in the United States. Normal distributed data aresymmetric with a single bell shaped peaks. Th maean of the data it significant in...
...
NormalDistributionNormaldistribution is a statistics, which have been widely applied of all mathematical concepts, among large number of statisticians. Abraham de Moivre, an 18th century statistician and consultant to gamblers, noticed that as the number of events (N) increased, the distribution approached, forming a very smooth curve.
He insisted that a new discovery of a...
...1. A formal statement that there is an absence of relationship between variables when tested by a researcher is called: (Points : 1) 
Null hypothesis
Type I error
Type II error
Negative interval

2. Bivariate statistics refers to the statistical analysis of the relationship between two variables. (Points : 1) 
True
False

3. Positive relationships between two variables indicate that, as the score...
...NormalDistribution: A continuous random variable X is a normaldistribution with the parameters mean and variance then the probability function can be written as
f(x) =  < x < ,  < μ < , σ > 0.
When σ2 = 1, μ = 0 is called as standardnormal.
Normaldistribution problems and solutions – Formulas:
X < μ = 0.5 – Z
X > μ = 0.5 + Z
X = μ = 0.5...
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