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UCLA Statistics, Neurology, LONI

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STAT 13 (1a, 1b, 1c, 1d)	*Introduction to Statistical Methods for the Life and Health Science*
Department of Statistics	Instructor: Ivo Dinov
Homework 1	Due Date: Wednesday, Jan. 18, 2012

Please, submit your homework right before lecture on the due date. See the HW submission rules. On the front page include the following header.

(HW_1.1) Using for the Education-level, Health-Index and Overall-ranking variables in the dataset containing the ranking of the top 100 Countries based on Political, Economic, Health, and Quality-of-Life Factors dataset do the following:

(a) Construct a stem-and-leaf diagram of the data by hand (only for the RELIG, religiosity, variable)
(b) Construct a dotplot of the data, using SOCR Charts (Select Dot-Plot), for these variables - EDU, QOL, HI.

(HW_1.2) Look at the 200 Human Heights and Weights dataset. Construct the frequency distribution for the heights and display it as a table and as a histogram, use SOCR Charts (Select Histogram Plot, Demo 1). Does the shape of the histogram change if we change the histogram bin-size (e.g., 5.153 vs. 1.0)?

(HW_1.3) The histogram below (right) shows the same data that are shown in one of the four boxplots (left). Which boxplot goes with the histogram? Explain!

(HW_1.4) Dopamine is a chemical that plays a role in the transmission of signals in the brain. A pharmacologist measured the amount of dopamine in the brain of each of seven rats. The dopamine levels (nmol/g) were as follows:

8.1

5.6

5.9

6.2

7.4

6.3

coefficient of variation

(HW_1.5) Using the Fisher's multivariate dataset on iris sepal and petal length dataset :

SOCR Charts (Select Box-Plot)

(HW_1.6) A geneticist counted the number of bristles on a certain region of the abdomen of the fruitfly Drosophila melanogaster. The results for 119 individual fruitflies are shown in the table below.

Values	Frequencies
Number_of_Bristles	Number_of_Flies
29	2
30	0
31	1
32	1
33	2
34	6
35	9
36	11
37	12
38	18
39	13
40	10
41	15
42	10
43	2
44	3
45	3
46	1

(a) Find the Median number of bristles.
(b) Find Q1 and Q3.
(c) Make a histogram plot of the number of bristles.
(d) Suppose the sample (number of bristles) mean is 38.45 and the sample SD is 3.20. What percentage of the observations fall within 1 SD of the mean?

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