SR: Statistical Reasoning

Statistical Reasoning

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SR.DSRSR.DSRSR.DSRaData & Statistical Reasoning – Formulate Statistical Investigative QuestionsSR.DSRbData & Statistical Reasoning – Collect DataSR.DSRcData & Statistical Reasoning – Analyze DataSR.DSRdData & Statistical Reasoning – Interpret ResultsSR.MMMathematical Modeling
Example Problems
What is the critical value for constructing a 90% confidence interval for a mean with 18 degrees of freedom?
Priya was testing versus with a sample of 12 observations. Her test statistic was . Assume that the conditions for inference were met.

What is the approximate
P-value for Priya's test?
Round your answer to the nearest thousandth.
Identify any outliers from the following table:
Data Value
84
7
9
8
A smartphone manufacturer claims an average battery life of 10 hours on a standard test. A reviewer tests a random sample of 49 phones and finds a sample mean battery life of 9.3 hours with a sample standard deviation of 1.4 hours.

The reviewer wants to use these sample data to conduct a
t test on the mean. Assume that all conditions for inference have been met.

Calculate the
test statistic for their test.
Three office buildings surveyed a random sample of employees about their recycling habits. Here are the results:

BuildingAlwaysSometimesNeverTotal
Building A50201080
Building B40301080
Building C30251570
Total1207535230


They want to perform a
χ² test of homogeneity on these results.

What is the
expected count for the cell corresponding to Building B employees who never recycle?
Round your answer to the
nearest hundredth.
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