Q.1.2Provide examples of null and alternate hypothesis that can be made from the idea that "isolation causes depression". (3)

Q.1.3 Find the mean, median and mode for the following sample of scores:5;4;5;2;7;1;3;5. (3)

Q.1.4 A sample of n=9 scores has a mean of M=13. After one score is added to the sample, the mean is found to be M=12.What is the value of the score that was added? (2)

Q.1.5 Calculate SS, variance and standard deviation for the following sample of n =5 scores: 2; 9; 5; 5; 9.(3)

Q.1.6 A study was conducted in which participants were able to tolerate more pain when they were shouting their favourite swear words than when they were shouting neutral words. Identify the independent and dependent variables for this study.(2)

A researcher begins with a known population whose maths scores are normally distributed, = 85, = 20. The researcher believes that increasing student's school hours by two hours will enhance individual's mathematical ability and will produce a change in the math scores for the individuals in the population. As it is not feasible to assess all the individuals in the population, a sample of n=25 individuals is selected and they are all subjected to an increase of two hours to their normal school day. Following the treatment, the average score for this sample is M= 90. Is there evidence that increasing the school day has an effect on mathematical ability?

Q.2.1 What test statistic should be used? (1)

Q.2.2 Why did you select this test statistic? (1)

Q.2.3 A hypothesis test using the information provided (include all four steps). (6)

Q.2.4 Calculate the effect size calculation and interpretation (only one measure of effect size required). (2)

The yields of apples trees in an orchard have a normal distribution with mean 42.4kgs and standard deviation 6.1.

Q.3.1 Compute the Zscore for a tree yielding 35kgs of apples. Interpret this Zscore. (3)

Q.3.2Suppose a tree has a Zscore of 1.85. Interpret this Zscore. What is the yield of this tree? (3)

Q.3.3 Display 35kgs and a zscore of 1.85 in a zdistribution graph with a mean of 42.2kgs and a standard deviation of 6.1. (4)