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2016.17, Statistics, Quarter 3
The following practice standards will be used throughout the quarter:
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Ongoing Standards
WCE.ST.1 Apply mathematical concepts to describe, model and solve applied problems related to the relevant content.
WCE.ST.2 Construct mathematical arguments regarding the relevant mathematics and critique the reasoning of others.
WCE.ST.3 Solve non-routine mathematical equations using technology, graphs, formulas, and tables of values interpreting the solutions in the
appropriate contexts.
Standards
Student Friendly “I Can” Statements
Unit 7 Sampling Distributions
S.IC.5 Describe the sampling distribution of a statistic and define the
I can tell if a t-test is appropriate when the sample size is less than 30.
standard error of a statistic.
I can use technology to find p-values and use them with a t-test to test
a mean.
I can use the z-test to test a population proportion.
I can interpret the t-distribution.
I can use the t-distribution table.
I can find critical value for a z or t distribution.
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I can find a point estimate for a population proportion
I can determine the minimum sample size required when estimating a
population proportion.
I can interpret the level of significance.
I can determine is a test is one-tailed or two tailed and if it is right or
left tailed.
I can find and interpret the p-value.
I can make and interpret a decision based on the results of a statistical
test.
I can write a claim for a hypothesis test.
I can find P-values and use them to test a mean.
I can use P-values for a z-test.
I can find the correct degrees freedom for a t-test.
I can find critical values and the rejection region for a normal
distribution.
I can use rejection regions for a z-test.
I can find critical values and p-values using the calculator.
I can find critical values in a t-distribution
I can use the t-test to test a mean
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S.IC. 6 Demonstrate an understanding of the Central Limit Theorem.
I can interpret the Central Limit Theorem
I can use the Central Limit Theorem to find the probability of a sample
mean.
Unit 8 Estimating with Confidence
S.IC.14 Understand the meaning of confidence level, of confidence
I can construct confidence intervals for a population mean.
intervals, and the properties of confidence intervals.
I can interpret confidence intervals for a population mean.
I can construct the confidence interval for a difference between two
means.
I can find the standard error of the mean .
I can construct a confidence interval when n< 30, the population is
normally distributed and the standard deviation is unknown.
I can construct a confidence interval for a population proportion.
I can construct a confidence interval for 2 sample p1-p2.
S.IC.12 Develop and evaluate inferences and predictions that are based
on data.
I can find a point estimate for a sample mean
I can find the margin of error for a sample mean
I can determine the minimum sample size required for estimating mu
and p.
S.IC.16 Construct the confidence interval for a mean and for a
difference between two means.
I can construct a confidence interval for a mean and for a difference
between two means.
S.IC.13 Use properties of point estimators, including biased/unbiased,
and variability.
I can use properties of point estimators, including biased/unbiased,
and variability.
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S.IC. 19 Interpret the t-distribution and determine the degrees of
freedom
I can find critical values in a t-distribution
I can use the t-test to test a mean
I can use technology to find p-values and use them with a t-test to test
a mean
S.IC.9 Test hypotheses using appropriate statistics.
Unit 9 Testing a Claim
I can use hypothesis testing to evaluate a claim
I can state the null and the alternative hypothesis
I can identify type 1 and type 2 errors
I can tell the consequence of T1 and T2 errors in the context of the
problem.
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