Statistical Reasoning
PrintExample 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.
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.
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:
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.
| Building | Always | Sometimes | Never | Total |
|---|---|---|---|---|
| Building A | 50 | 20 | 10 | 80 |
| Building B | 40 | 30 | 10 | 80 |
| Building C | 30 | 25 | 15 | 70 |
| Total | 120 | 75 | 35 | 230 |
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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