Hi everyone! Read through the material below, watch the videos, work on the Excel lecture and follow up with your instructor if you have questions.
- Determine if the data supports a hypothesis at a given significance level using known distributions.
Topic. This lesson covers: Hypothesis Testing with Known Standard Deviation
- Openstax Introductory Statistics:
- Introductory Statistics by Sheldon Ross, 3rd edition: Section 9.2 – 9.3.1
- Statistics with Microsoft Excel by Beverly J. Dretzke, 5th ed., P. 131 – 153
WeBWorK. Sets 9.1 & 9.2
The Applied View
Watch the video Tests of Significance.
- In the 1970s, statistician Ron Thisted did a statistical analysis of Shakespeare’s vocabulary. Based on his analysis he created a computer program. What could his program tell you about a Shakespearean poem?
- In analyzing a poem to see whether or not it was authored by Shakespeare, Thisted set up a null hypothesis and an alternative hypothesis. State those hypotheses in words.
- What was the approximate distribution of the number of unique words per poem in Shakespeare’s poems?
- Thisted observed 10 unique words in the newly discovered poem. Was that sufficient evidence to conclude that Shakespeare did not write the poem?
- Which is better evidence against the null hypothesis, a large p-value or a small p-value?
The USDA limit for salmonella contamination for chicken is 20%. A meat inspector reports that the chicken produced by a company exceeds the USDA limit. You perform a hypothesis test to determine whether the meat inspector’s claim is true. When will a type I or type II error occur? Which is more serious?