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# Make a short research\'s presentation: population under study, statistical unit,

INSTRUCTIONS TO CANDIDATES
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Exercise 2. Each student will select her/his own sample, in SPSS, according to remark no. 3. You must have, in the database, at least two continuous variables, and at least two qualitative variables (these can be also obtained from continuous variables - use Transform). Requirements:

a) Make a short research's presentation: population under study, statistical unit, the research's objective, the sample size, describe a few (the most important) variables.

b) Univariate analysis: tables, graphs, descriptive statistics.

b1) Analyze data for a qualitative variable: table of frequencies, bar chart, and mode. b2) Analyze data for a continuous quantitative variable (raw of data; scale): i) Graph: Histogram; ii) Central tendency: Mean, Median. Percentile: quartiles. Variation: standard deviation, variance, range. Shape of distribution: kurtosis and skewness.

SPSS: Analyze/Descriptive Statistics/Frequencies.

Specify, at each point (from b1, b2), what information bring the output statistics (i.e. interpret the results).

c) Choose a quantitative continuous variable X (related to the_investigation's objective): c1) compute and interpret the confidence interval for mean of X, standard error SE, margin of error E. Analyze/Descriptive Statistics/Explore; c2) compute the sample size

n to be observed, if the accuracy is imposed to be as following: the probability P=0.95, the error E=5% from the mean of variable X (in the sample).

d) Consider a qualitative variable with two categories (0/1).

d1) Compute and interpret the confidence interval for the proportion; d2) compute the sample size n to be observed, for a probability P=0.99 and a margin of error E=3%. e) Test a hypothesis concerning a mean. Analyze/ Compare means / One-

Sample T test

f) Test a hypothesis about a proportion. Analyze/Nonparametric Tests/Binomial g) Test a hypothesis concerning the differences of two means. Analyze/ Compare means/independent-Samples T test.

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