Probability & Statistics

Exam Project

(64 points)

Hypothesis test for a difference of two means

Use the speed_gender_height data set to determine if the mean heights of males and the mean heights of females are equal.

https://docs.google.com/spreadsheets/d/1oiMMQ86K-TqdmSEGIrVILDHoBu35XHaYmXpPh6SXzDE/edit#gid=2012894307

as Google Sheet

Set up a hypothesis test at = 0.05.

Use H₀: _m - _f = 0 as the beginning of your null hypothesis.

Also state your alternative hypothesis.

Include use of a spreadsheet.

Calculate your interval.

Draw a sketch with appropriately shaded regions.

Calculate the test value.

Make and indicate the decision.

Clearly communicate your results in common and accurate language.

Include all your work, including any sketches and computations by hand, as well as your spreadsheet.