Download Math 227 StatCrunch Help Chapter 2 Organizing and Summarizing Data 

Math 227 StatCrunch Help
Chapter 2 Organizing and Summarizing Data
Creating a Frequency (or Relative Frequency) for a Categorical variable
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With Data:
Stat  Tables  Frequency  Select column(s)  Statistics: Choose desired statistic(s) 
Compute!
With Summary:
Graph  Bar Plot  With Summary  Select column(s)  Categories in: Choose Category 
Counts in: Choose Frequency  Select Type:  Order by: Choose Worksheet  Compute!
Creating a Frequency (or Relative Frequency) for a Numerical variable
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With Data:
Graph  Histogram  Select column(s)  Select Type:  Bins: Enter desired values for Start
at and Width  Display options: check Value able bar:  Compute!
Chapter 3 Numerically Summarizing Data
Finding the Descriptive Statistics:
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Stat  Summary Stats  Columns  Select column(s)  Statistics: Choose desired statistic(s)
 Compute!
Note: Select Unadj. Variance or Unadj. Std.dev for the population variance and population
standard deviation
Chapter 4 Describing the Relation between Two Variables
Finding the Correlation Coefficient and Regression Line:
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Stat → Regression → Simple Linear  X variable:  Y variable:  Compute!
Predicting the y-value & Residual
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Stat → Regression → Simple Linear  X variable:  Y variable:  Prediction of Y: Enter the X
value(s) →Save: Residuals→Compute!
Note: *Residuals (Errors) are stored in new column: Residuals
*Sum of Squared residuals is found in Analysis of variance table for regression model: in
the intersection of Error and SS (Sum of Squared).
Determine the actual percentage of the data distribution:
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Data → Sort  Select Columns: Sort Direction:  Compute!  Count the appropriate number
of data values and calculate the percentage.
Chapter 6 Discrete Probability Distributions
Computing the mean and the standard deviation of the random variable X .
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Stat → Calculators → Custom.
Choose X and P(x)
Click Compute!
Computing the binomial probability:
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Stat  Calculators  Binomial
Chapter 7 The Normal Probability Distribution
Finding Areas (Probabilities) under a Normal Curve
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Stat  Calculators  Normal  Select Standard or Between  Input the value for Mean and
Std. Dev.  Select the inequality sign  Input the value for X  Compute!
Finding X-value under a Normal probability
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Stat  Calculators  Normal  Select Standard or Between  Input the value for Mean and
Std. Dev.  Select the inequality sign  Input probability  Compute!
Graphing a Normality probability plot
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Graph  QQ Plot  Select column(s)  Compute!
Chapter 8 Sampling Distributions
Finding Probability of
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x that is Normally Distributed
Stat  Calculators  Normal  Select Standard or Between  Input the value for Mean
 
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(  x   ) and Std. Dev.   x 
  Select the inequality sign  Input the value for X 
n

Compute!
Finding Probability of p̂ that is Normally Distributed
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Stat  Calculators  Normal  Select Standard or Between  Input the value for Mean

(  pˆ  pˆ ) and Std. Dev.   pˆ 

X  Compute!
p(1  p) 
  Select the inequality sign  Input the value for
n

Chapter 9 Estimating a Population Proportion
Constructing Confidence Interval for Population Proportion
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Finding the critical value Z
2
Stat  Calculators  Normal  Select Between  Input probability (confidence level) 
Compute!
Constructing Confidence Interval for Population Proportion
Stat  Proportion Stats  One Sample  With Data/Summary  Input # of successes and
observations  Select Confidence Interval and input the Confidence Level  Compute!
Finding the Sample Size needed for estimating the Population Proportion
Stat  Proportion Stats  One Sample  Power/Sample Size  Select Confidence Interval
Width  Input the Confidence Level, Target Proportion, and Width (twice the error) 
Compute! (Note: Target Proportion =0.50 with no prior estimate of P)
Constructing Confidence Interval for Population Mean
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Finding the critical value t
2
Stat  Calculators  T  Select Between  Degree of Freedom (DF = n-1)  Input probability
(confidence level)  Compute!
Constructing Confidence Interval for Population Mean
Stat  T Stats  One Sample  With Data/Summary  Input Sample mean, Sample std.dev,
Sample size  Select Confidence Interval and input the Confidence Level  Compute!
Finding the Sample Size needed for estimating the Population Mean
Stat  Z Stats  One Sample  Power/Sample Size  Select Confidence Interval Width 
Input the Confidence Level, Standard deviation, and Width (twice the error)  Compute!
Constructing Confidence Interval for Population Standard Deviation
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2
Finding the critical values 1
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Stat  Calculators  Chi-Square  Select Between  Degree of Freedom (DF = n-1)  Input
probability (confidence level)  Compute!
Constructing Confidence Interval for a Population Variance or Standard Deviation
Stat  Variance Stats  One Sample  With Data/Summary  Input Sample variance, Sample
size  Select Confidence Interval and input the Confidence Level  Compute!
2
2
and  2
Chapter 10 Hypothesis Tests Regarding a Parameter
Hypothesis Testing for Population Proportion, Mean, Variance or Standard Deviation
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Finding the critical z , t , or  value
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Stat  Calculators  Normal, T , Chi-Square
Finding the test statistic and the corresponding P-value for a Population Proportion
Stat  Proportion Stats  One Sample  With Summary/Data  Enter # of Successes and
2
observations  Enter the value (proportion) for H 0 and select the inequality in H A 

Compute!
Finding the test statistic and the corresponding P-value for a Population Mean
Stat  T Stats  One Sample  With Data/Summary  Enter Sample mean, Sample std. dev,
Sample size  Enter the value (mean) for H 0 and select the inequality in H A  Compute!
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Finding the test statistic and the corresponding P-value for a Population Standard Deviation
Stat  Variance Stats  One Sample  With Data/Summary  Enter Sample variance, Sample
size  Enter the value (variance) for H 0 and select the inequality in H A  Compute!
Chapter 11 Inferences on Two Samples
Inference about Two Population Proportions
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Performing Hypothesis Tests
Stat  Proportion Stats  Two Sample  With Data/Summary  Enter # of Successes and
observations  Enter the value for H 0 and select the inequality in H A  Compute!
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Constructing Confidence Intervals
Stat  Proportion Stats  Two Sample  With Data/Summary  Enter # of Successes and
observations  Select Confidence Interval and input the Confidence Level  Compute!
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Creating a Contingency table
Stat  Tables  Contingency  With Data/Summary  Select the Row variable and Column
variable  Select items under Display  Compute!
Inference about Two Means: Dependent Samples
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*If necessary, enter the raw data into the first two columns of the spreadsheet. Name each
column variable
Performing Two-Sample t-Tests, Dependent Sampling
Stat  T Stats  Paired  Select the columns for Sample 1 and Sample 2  Enter the value for
H 0 and select the inequality in H A  Compute!
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Constructing Confidence Interval, Dependent Sampling
Stat  T Stats  Paired  Select the columns for Sample 1 and Sample 2  Select Confidence
Interval and input the Confidence Level  Compute!
Inference about Two Means: Independent Samples
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*If necessary, enter the raw data into the first two columns of the spreadsheet. Name each
column variable
Performing Two-Sample t-Tests, Independent Sampling
Stat  T Stats  Two Sample  Select the columns for Sample 1 and Sample 2  Uncheck the
box “Pool variances”  Enter the value for H 0 and select the inequality in H A  Compute!
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Constructing Confidence Interval, Independent Sampling
Stat  T Stats  Two Sample  Select the columns for Sample 1 and Sample 2  Uncheck the
box “Pool variances”  Select Confidence Interval and input the Confidence Level  Compute!
Inference about Two Population Standard Deviations
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Finding the critical F - value
Stat  Calculators  F
Performing Hypothesis test for Comparing Two Population Standard Deviations
Stat  Variance Stats  Two Sample  With Data/Summary  Enter mean, standard
deviation, and sample size  Enter the value (variance) for H 0 and select the inequality in H A
 Compute!
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Constructing Confidence Interval for Comparing Two Population Standard Deviations
Stat  Variance Stats  Two Sample  With Data/Summary  Enter mean, standard
deviation, and sample size  Select Confidence Interval and input the Confidence Level 
Compute!
Chapter 12 Inferences on Categorical Data & ANOVA
Goodness-of-Fit Test
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*Enter the observed counts in the first column Enter the expected counts in the second column.
Name the columns observed and expected.
Stat  Goodness-of-Fit Test  Chi-Square Test  Select the Observe column and Expected
column  Compute!
Chi-Square Tests for Independence
*If the data are already in a contingency table, enter them into the spreadsheet. The first
column is the row variable. If the data are not in a contingency table, enter each variable in a
column and name the column variable.
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Stat  Tables  Contingency  With Data/Summary  Select the column variable(s) and row
variable  Select items  Compute!
One-Way Analysis of Variance, ANOVA
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*Either enter the raw data in separate columns for each sample or treatment, or enter the value
of the variable in a single column with indicator variables for each sample or treatment in a
second column.
Stat  ANOVA  One Way  Select the column variable(s)  If the raw data are in separate
columns, select “Compare selected columns” and then click the columns you wish to compare. If
the raw data art in a single column, select “Compare values in a single column” and then choose
the columns that contains the value of the variables and the column that indicates the
treatment or sample  Compute!
Two-Way Analysis of Variance, ANOVA
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Repeat the steps for conducting a one-way analysis of variance. Check the box “Tukey HSD with
confidence level before clicking Compute!