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Math 110 Elementary Statistics

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Samples of what you should know before Math 110:

1. If x = 14 and y = 11, calculate the value $open parenthesis x minus y close parenthesis squared$
- - Solution
    $open parenthesis x minus y close parenthesis squared equals open parenthesis 14 minus 11 close parenthesis squared equals 3 squared equals 9$
2. Solve the following formula for x. $z equals start fraction x minus x bar over s end fraction$
- - Solution
    
    $z times s equals x minus x bar$
    
    $x equals z times s plus x bar$
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.
- - Solution
    $graph with three points at 2 comma 1 three comma 3 and 4 comma 5$
4. Simplify the following expression and write the answer as a decimal. $1 minus 34 forty ninths$
- - Solution
    $1 minus 34 forty ninths equals 49 forty ninths minus 34 forty ninths equals start fraction 49 minus 34 over 49 end fraction equals 15 forty ninths equals 0 point 3 0 6 1 2$
5. Graph the following inequality on a number line: 23.478 < x < 35.962
- - Solution
    $number line with an open dot at 23 point 4 7 8 and an open dot at 35 point 9 6 2 with a solid line connecting the open dots$
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
- - Solution
    $A table with two columns and three rows first row first column 1 first row second column 2 4 4 second row first column 2 second row second column 1 2 8 9 third row first column 3 third row second column 1 3$
2. A die has 6 sides labeled 1, 2, 3, 4, 5, 6. Find the probability of rolling a 2.
- - Solution
    $capital p open parenthesis x equals 2 close parenthesis equals 1 sixth$
3. Find the probability that a coin is flipped 8 times and we get tails exactly 3 times.
- - Solution
    $capital p open parenthesis x equals 3 close parenthesis equals 8 choose 3 times point 5 cubed times point 5 to the 5th power equals 56 times point 0 0 3 9 0 6 2 5 equals point 2 1 8 7 5$
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

Math 110 Elementary Statistics

Samples of what you should know before Math 110:

Samples of what you will learn in Math 110: