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1. You are conducting an evaluation of services at a social service agency. One of the evaluation issues is finding out whether male clients rate the quality of casework services as highly as do female clients. You have collected following data on the clients:
Gender Rating of Caseworker
male 4
female 4
female 5
male 3
female 2
male 1
male 5
female 3
2. Calculate the mean rating of caseworker for males and females. To calculate the t-test to determine if the difference between the mans for males and females is significant, go to this website: https://graphpad.com/quickcalcs/ttest1.cfm . On step one, make sure that the button "enter up to 50 rows" is selected. On Step 2 (Enter Your Data), label the two columns with your two independent variables values (male and female), and then enter the caseworker ratings in the appropriate column. In Step 3, because your data are not paired ( data for a particular female client is not paired with data for a particular male client) make sure that the button "unpaired t-test" is selected. Then click the "Calculate Now" button. What is the p value? Are results with this p value generally considered statistically significant or not? Based on this finding, could you reject the null hypothesis that there is no difference in caseworker ratings between male and female clients?
3. Make up an example of a research study that would warrant using ANOVA.
4. Make up an example of a research study that would warrant using correlational analysis.
5. Make up an example of a research study that would warrant using a Chi-square test.
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First National Bank and City National Bank are competing for customers who would like to open IRAs. 32 weeks are randomly selected for First National Bank and another 32 weeks are randomly selected for City National.
We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.
Compute the two weights that give the cutoff points for the three categories.
Generate survival times X from an exponential distribution with rate lambda=1 with a censoring distribution C being exponential with rate theta = 2/3. Then Plot Kaplan-Meier Survival curve estimates along with true survival curve for n=25,100,1000..
Conduct a two-sample test of means. A study by a bank compared the average savings of customers who were depositors for three years or less with those who had been depositors for more than three years.
Compute the mean, median, and mode. Which of these measures of central tendency do you think most accurately describes the lifestyle variable you are looking at?
Let x be N(µ,σ2 ) and consider the transformation x=log(y) or equivalently y=exp(x). Find the mean and the variance of y by first determining E(exp(x)) and E[(exp(x)^2 ], by using the moment generating function of x.
Each time marksman i fires he hits the target,independently of the past, with probability P i,i=1,2,3. Determine the proportion of time, in the long run, that each marksman shoots.
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