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For the situation shown below, match each statistic with its appropriate value.
A study was conducted to find out if the salaries of elementary school teachers were equal to high
school teachers. The researcher randomly selected 15 high school teachers and randomly selected 15
elementary school teachers. The statistical results are shown below. (Salaries are in $0,000, H(0): (High
School - Elementary) = 0, and the data values are distributed normally.) Test the researcher's claim
that the salaries are equal using a significance level of 0.05.
A. The conclusion.
B. The critical value.
C. The p-value.
D. The test statistic.
+/- 2.145
+3.50
0.005
Reject H(0).
the test statistic: +3.50
the critical value: +/- 2.145
the p-value: 0.005
conclusion: reject H(0)
2.2
2.2
Why is it important to look at the shape of a column of data before interpreting any statistics?
Why is it important to look at the shape of a column of data before interpreting any statistics?
,To see if the data is unimodal, symmetrical, and without any exceptions.
Why look at a chart to get shape information instead of looking at the data values themselves?
Why look at a chart to get shape information instead of looking at the data values themselves?
A chart is needed to summarize the shape characteristic so that we can see it.
Match the two meanings below with their appropriate column titles in a frequency table.
Count of the data values in a category.
Proportion of the data values in a category.
A. Frequency.
B. Relative frequency.
Count of the data values in a category. - frequency
Proportion of the data values in a category. - relative frequency
In the frequency table below, what is the relative frequency for the category Mar? (answer to three
decimal places, ex. 1.089)
0.156
Which of the following answers is NOT one of the first three columns in a frequency table?
Which of the following answers is NOT one of the first three columns in a frequency table?
Cumulative Frequency
In the frequency table below, what is the frequency for the category May? (answer to zero decimal
places, ex. 1.)
40
In the frequency table below, what is the cumulative frequency and the cumulative relative frequency
for the category Jun?
160.0 and 1.0
What type of graph is most appropriate to use to display the shape of qualitative data?
,What type of graph is most appropriate to use to display the shape of qualitative data?
A bar chart where the bars do not touch each other.
T/F A Pareto chart just a bar chart with the bars rearranged from the highest bar to the lowest bar.
true
What type of graph is most appropriate to use to display the shape of discrete data?
A histogram where the bars do touch each another.
In a histogram for discrete data, what characteristic is shown on the x-axis, and what characteristic is
shown on the y-axis?
The data values in the data set on the x-axis, and the frequency of the data values on the y-axis.
In a histogram for continuous data, what characteristic is shown on the x-axis, and what characteristic
is shown on the y-axis?
Bins of the data values on the x-axis, and the frequency of the data values in the bins on the y-axis.
T/F When making a histogram for continuous data, a bin is just a range of possible data values.
true
T/F A boxplot is used to display the shape of qualitative data.
false
T/F A boxplot shows location and spread information as does a histogram.
true
In a boxplot of continuous data, what percent of the data values lie inside the box, and what percent
of the data values lie outside the box?
50% and 50%
In the boxplot below, what is the value of the median?
27.5
, In any boxplot (an example is shown below), the width of the box shows what characteristic of the
data values?
The spread of the data values.
What is the general approach to analyzing the information in a histogram?
First look at the overall shape, then look for exceptions.
Which of the following answers is NOT one of our overall shapes?
A modeless shape.
T/F A skewed left shape means that the peak of the histogram is on the left side of the histogram. A
skewed right shape means that the peak of the histogram is on the right side of the histogram.
false
Skewness in a histogram is a property of what in the histogram?
The tails.
Which of the following answers is NOT an exception when analyzing a histogram?
Any bimodal shapes.
How is a gap distinguished from an extreme value?
A gap is fits as part of the overall shape. An extreme value is outside the overall shape.
2.3
2.3
To calculate variance, statistics does not average the deviations, instead it averages the?
Squared deviations.
A data value close to the mean has a?
Small deviation.
Which one of the following answers is NOT correct about standard deviation?
Standard deviation = Variance^2