2.) Compute the mean, standard deviation, and standard of error of productive fo
ID: 3150662 • Letter: 2
Question
2.) Compute the mean, standard deviation, and standard of error of productive for teachers in each topic area (subject taught). (Hint: Use ANALYZE=>DESCRIPTIVE STATISTICS=>EXPLORE). Use APA format to report the results (APA, Chapter 5). 3.) If there were 100 (rather than 40) teachers providing data for each topic area, how would the standard error of the mean change? Why? The mean? Why? The standard deviation? Why? 4.) Imagine a program to improve productivity was implemented. Write an appropriate research question to learn if the program is effective. Aligned with this research question, write a null and an alternative hypothesis. Each hypothesis should be written in words as well as with the use of symbols (Ho:, Ha).
Explanation / Answer
3) The standard error of mean will be, s=Sigma/sqrt N=sigma/sqrt 100=Sigma/10
The mean will be same as that of population mean. According to Central Limit Theorem, if repeated samples of size N are drawn from mean mu and standard deviation, Sigma, then as N becomes large, the sampling distribution of sample means will approach normality, with mean mu and standard deviation, sigma.sqrt N.
4) An intervention program is used to improve the productivity of foreign language of the teachers for 7 weeks. The productivity in terms of scores on a test is measured before and after the program.
The hypotheses are as follows:
H0:mub-mua=0 (The mean test scrores, before and after program are same)
Ha:mub-mua<0 (Mean test score after the program is higher than before the program.
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