Assignment:
1. a. Use StatCrunch to obtain 500 randomsamples of size n = 10 from the population of IQ scores with a mean of 100 and a standarddeviation of 15.
(Go to StatCrunch>Data>Simulate>Normal>Rows: 500 & Columns: 10>Normal parameters: Mean: 100 & Std. Dev.: 15)>Compute!
b. Compute the sample mean for each of the 500 samples. Provide the sample mean for Sample1 and Sample 2 here.
(Go to StatCrunch>Stat>Summary Stats>Select all columns using Shift Key>Statistics: Mean>Check Store in data table>Compute!
Mean from sample 1: ______________
Mean from sample 2:______________
2. a. What do you expect the mean and standard deviation of the sampling distribution of themeanto be?
b. Draw a histogram of the 500 sample means. If possible, draw the theoretical normal modelon the histogram.
c. Determine the mean and standard deviation of the 500 sample means. Are these values closeto what was expected in part (a)?
d. What proportion of the 500 random samples resulted in a sample mean IQ greater than 108?
Based on the normal model, what proportion of random samples of size n = 10 would weexpect to result in a sample mean greater than 108?
Is the theoretical proportion obtained from the model close to the proportion from the simulation? Explain.