- Create a bootstrap distribution for a sample mean
- Find and describe a bootstrap percentile confidence interval for a population mean
Recall that we are working with a sample of kWh/100 miles ratings for [latex]10[/latex] electric cars that were randomly selected from the population of all the 2021 models of electric cars sold in the United States, as reported by the EPA. The sample data are shown in the following table.
| Observation | Car model | kWh/100 miles |
|---|---|---|
| 1 | Porsche Taycan 4S Cross Turismo | 45 |
| 2 | Volkswagen ID.4 Pro S | 35 |
| 3 | Hyundai Kona Electric | 27 |
| 4 | Ford Mustang Mach-E RWD | 34 |
| 5 | Tesla Model S Performance | 35 |
| 6 | Tesla Model X Performance | 35 |
| 7 | Nissan Leaf SV/SL | 32 |
| 8 | Tesla Model S Plaid | 33 |
| 9 | Volkswagen ID.4 Pro | 34 |
| 10 | BMW i3s |
Step 1: For the “Enter Data” option, choose “Your Own.”
Step 2: Type the values from the sample into the “Enter Observations” box. Separate the data values by spaces or commas.
Step 3: Recall the values for the sample are: 45, 35, 27, 34, 35, 35, 32, 33, 34, and 30.
Step 4: For the “Statistic of Interest” option, select “Mean.”
Step 5: On the left-hand side of the display, under “Select how many bootstrap samples you want to generate,” click on “1,000.” Then, click on “Draw Bootstrap Sample(s).”
Step 6: You should see the bootstrap distribution in the lower part of the right-hand side of the display.