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Stats 121 - Lab 7: Random Sampling
FIRST – download the appropriate data file.
PART 1 - Experiment: Aluminum Cans (Sheet 1)
1. Create two histograms: one with bin size = 10, the other with bin size = 5.
2. Calculate the population mean and standard deviation.
3. Use Tools - > Data Analysis - > Sampling to select twenty samples each of size 5. Calculate
the mean for each sample.
4. Create a histogram of these twenty sample means (bin size == 3). Calculate the mean and
standard deviation of this distribution of sample means.
5. Select samples of the following sizes: n = 10, 20, 30, 40, 50, 60, 70. Calculate the mean of
each sample. What is the law of large numbers, and do these results support the law of large
numbers?
Part 2 – Functions and More Functions (Sheet 2)
6. Using the given values of A, B, and C, calculate:
a. A cubed plus B squared
b. Square root of the sum of B & C
c. Pi times C squared
7. Using the ages of academy award winning actors, calculate
a. Sum, mean standard dev., mode, median, first quartile, third quartile, maximum
(“max”), minimum (“min”)
b. Fifth largest value: use “large” function
c. Eighth smallest value: use “small” function
d. Analyze the ages using Tools -> Data Analysis -> Descriptive Statistics
Part 3 – Two Variable Functions (Sheet 2 cntd.)
8. Create an x-y scatter plot and use trendline to calculate r, r squared, and the equation of the
line
9. Calculate
a. Slope using “slope” function
b. Correlation coefficient using “correl” function
c. Response value when explanatory value is 24 using “forecast” function
d. The y-intercept using “intercept” function
e. R and r squared using “Pearson” and “RSQ” functions
f. The residuals and sum of residuals using Tools ->Data Analysis -> Regression
Part 4 – The Normal Function (Sheet 3)
10. Using the “normdist” function, calculate
a. Function value when x = 156
b. Function value when x = 145
c. Calculate area left of x = 150
d. Calculate area right of x = 138
e. Calculate area between x = 132 and x = 150
11. Using the “standardize” function, calculate z for the following values of x:
a. x = 140
b. x = 145
c. x = 147