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Math 110 Elementary Statistics

  • If you are considering taking a lower-level class than Math 110:

     

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  • Samples of what you should know before taking Math 110:
    1. If x = 14 and y = 11, calculate the value open parenthesis x minus y close parenthesis squared
    2. Solve the following formula for x. z equals start fraction x minus x bar over s end fraction
    3. Given the function f of x equals 2 x minus 3, plot the points on the graph of this function for the x-values 2, 3, 4.
    4. Simplify the following expression and write the answer as a decimal. 1 minus 34 forty ninths
    5. Graph the following inequality on a number line: 23.478 < x < 35.962
  • Samples of what you will learn in Math 110:
    1. For the given data set, build a stem-and-leaf plot. 12, 14, 14, 21, 22, 28, 29, 31, 33
    2. A die has 6 sides labeled 1, 2, 3, 4, 5, 6. Find the probability of rolling a 2.
    3. Find the probability that a coin is flipped 8 times and we get tails exactly 3 times.
    4. A sample is taken from a population. The sample values are 12, 14, 14, 21, 22, 28, 29, 31, 33.  Use a 5% significance to test the claim that the mean population value is above 29.0.
      • Solution
        The evidence indicates that it is unlikely that the population mean is above 29.0.
    5. The following data are child ages and weights. Build a regression model and use the model to predict the weight of a 10-year-old child. Explain the prediction.
     
    6 6 7 8 8 9 9 10 11
    70 60 70 60 90 70 80 90 120
      • Solution
        The model is Y hat equals 8 point 3 0 1 9 plus 8 point 5 8 4 9 x
        The predicted weight is y hat equals 94 point 1 5
        Based on our data, the predicted weight of a 10-year-old child is 94.15 pounds