Question

In: Statistics and Probability

At a long gym, it is claimed that people who work out at the gym spend...

At a long gym, it is claimed that people who work out at the gym spend on average more time doing cardio than working with weights. The researcher collects two independent samples and asked each member in the sample to state their preference during a typical workout at the gym. Test the claim using α=0.01. The sample data is listed below.

Cardio (minutes)

weight lifting (minutes)

X ¯ 1 =40

σ 1=5.69

n 1 =35

X ¯ 2 =32

σ 2 =8.65

n 2 =35

State the claim:

H 0 μ 1=μ 2

H 1 μ 1 μ 2claim

Determine the direction of the tails: Left, Right, or Two: tail/s

Find the critical value:

Compute Test Point (round to 2 place values) :

Do we Reject or Do Not Reject?

Summarize: There is enough evidence to the claim.

Expert Solution

orchestra answered 1 year ago

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