Two-sample t interval for the difference of means (calculator-active)

Fast food companies want their products to be as similar as possible across locations. Miguel is tasked with making sure that two locations of a fast food chain have burger patties of the same size. He takes a random sample of

30

patties from each location. Here are summary statistics for his samples:

Mass of burger patties
	Location A	Location B
Sample mean	${\bar{x}}_{A} = 115 g$ ‍	${\bar{x}}_{B} = 117 g$ ‍
Sample standard deviation	$s_{A} = 2.8 g$ ‍	$s_{B} = 2.1 g$ ‍
Sample size	$n_{A} = 30$ ‍	$n_{B} = 30$ ‍

Assume that the conditions for inference have been met.

Which of the following is a $90 %$ ‍ confidence interval for the difference in mean weight (in grams) of the patties from the two restaurants $(μ_{A} - μ_{B})$ ‍?
Use a calculator with statistical capabilities to calculate the interval.

AP®︎/College Statistics

Course: AP®︎/College Statistics > Unit 11

Problem