In Lesson Seven you've learned to convert raw scores to standardscores and used the empirical rule to determine probabilitiesassociated with those standard scores.

Random Decimal Fraction Generator

Here are your random numbers:

0.16130.85900.7911

1. Use the random decimal fraction generator at Random.org, linkedhere, to generate a list of three fractions with four decimalplaces(LIST random decimal fractiongenerator  IS ON TOP). Assume those decimalfractions represent probability values associated with z-scores.Then use the standard normal table to look up the z-score that isclosest to matching with that probability. List them below. (3points)
   1. probability value (generated fraction) =
   2. associated z-score =
   3. probability value (generated fraction) =
   4. associated z-score =
   5. probability value (generated fraction) =
   6. associated z-score =
2. Use another random decimal fraction generator at Random.org,linked here, to generate a list of ten two-digit random numbersbetween 10 and 30. Calculate the z-score of the median of the dataset. (3 points)
3. What does the z-score of the data set median just above tellyou about the shape of the distribution? How do you know this? (3points)
4. If you were to take repeated random samples of n = 5from the data set just above, what would be the expected value ofthe mean of the sampling distribution of sample means? (3points)
5. Considering the set of ten two-digit random numbers above as apopulation, calculate the standard error of the mean for thesamples in question 4. (3 points)