Do each of the following calculations using this data set:

7 10 7 2 6 10 5 5 10 4

8 10 8 7 10 9 6 6 7 9

1. Compute the mean of the data set.

1. Compute the medianof the data set.

1. Compute the modeof the data set.

1. Compute the sum of squares of the data set using the computational formula.

1. Compute the standard deviationof the data set, assuming that the data set is a sample.

1. For the following questions,m = 8.00 ands = 1.25. Assume that the population data are normally distributed. Based on this information:

1. Calculate the z-score for a raw score of 10.00. What proportion of the (population) distribution is equal to or less than this score?

1. Calculate the z-score for a raw score of 7.00. What proportion of the (population) distribution is equal to or greater than this score?

1. Determine the probability of obtaining a score (from the population) that falls between a raw score of 7 and a raw score of 10.

1. Calculate the z-score for sample means (single-sample z-test) using the data set on this calculation sheet. Again, you can assume that the population data are normally distributed, withm = 8.00 ands = 1.25.

1. Determine the critical values (for an alpha of .05) you should use to determine the statistical significance of this z-score in a hypothesis testing situation. Assume that you will be conducting a two-tailed hypothesis test.