Identify each of the following as examples of nominal, ordinal, interval, or ratio scales of measurement. (4 points each)
(Points : 24)

Question 2. 2.
Two hundred raffle tickets are sold. Your friend has five people in her family who each bought two raffle tickets. What is the probability that someone from her family will win the raffle? (Points : 4)

Question 3. 3. Jolie has 45 minutes to do her statistics homework. If the mean is 38 minutes and the standard deviation is 3, calculate Jolie’s z score. Once calculated, interpret your findings in terms of Jolie’s performance. (HINT: use the normal distribution and the probability that other students performed better or worse.) (Points : 8)

Question 4. 4. A psychologist measures units of change for a memory test after students are given an opportunity to sleep only four hours. The following change units were obtained: 7, 12, 4, 7, 3, 10. Find the a) mean, b) median, c) mode, d) standard deviation, e) range, and f) variance. (Points : 24)

Question 5. 5. A student scored 81 on a chemistry test and 75 on a history test. For the chemistry test, the mean was 70 and the standard deviation was 20. For the history test, the mean was 65 and the standard deviation was 8. Did the student do better on the chemistry test or the history test? Explain your answer. (Points : 12)

Question 6. 6. Suppose you want to figure out what to do with your degree in psychology. You ask some fellow students from your psychology program who recently graduated to find out what they are doing with their degree and how much it pays. What type of sampling is this? What are the limitations of this sampling approach? (Points : 8)

Interval variables 
A testable hypothesis Mathematical symbols Numbers 
The alternative hypothesis The baseline hypothesis The null hypothesis The reasonable hypothesis 
6.6 7.2 7.8 8.7 
6 
5 
5 
1.53 2.33 2.56 
The mean, mode, and median are all equal The total area under the curve equals 1 The curve is specified by two parameters, the mean and the standard deviation The curve extends to + and – 3 standard deviations from the mean 
34 95 99.7 
Degrees of freedom Freedom factor Variability index Variation quotient 
Rejecting the null hypothesis when in reality the null hypothesis is true Rejecting the null hypothesis when in reality the null hypothesis is false Accepting the null hypothesis when in reality the null hypothesis is true Accepting the null hypothesis when in reality the null hypothesis is false 
purposive sampling convenience sampling cluster sampling stratified sampling 
mean standard deviation normal distribution number of subjects 
it is also known as the level of significance value is equal to the probability of a type I error all of the above are true 
Boys who play sports are not viewed as more attractive than boys who do not play sports Playing sports will influence how attractively boys are viewed Boys who play sports are more attractive than girls who play sports There can be no null hypothesis 
Accepted at the .05 level Rejected at the .01 level Rejected at the .05 level None of the above 
22 20 11 10 
If each participant is measured twice 
34% 
Mode Mean Median None of the above are affected 
Individual scores Frequencies Means Deviation scores 
Range Median Mode 
102 285 150 204 
Mean Very top Very bottom None of the above since z cannot be zero 
Frequencies Observed scores z scores Area 
Mean Range Interval All of the above 
Mean Median Mode Midrange 
0.8 1.8 0.1575 0.55 
The new mean distance is 8.2 miles. 

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