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Two large supermarket chains are interested in comparing the experience, in years, that their employees have. The summary statistics are below:

Store $1$ : mean = $5.4, { S }_{ x }= 3.2, n = 34$

Store $2$ : mean = $6.1, { S }_{ x }= 3.6, n = 36$

When performing a two-sample $T$-test on $H_0: { u }_{ 1 }={ u }_{ 2 }$ versus $H_a: { u }_{ 1 } < { u }_{ 2 }$, what conclusion can be made?

Define ${ u }_{ 1 }$ as the average experience at store $1$, and ${ u }_{ 2 }$ as the average experience at store $2$.

A

Evidence exists that the stores’ employees have the same amount of experience, at the $10\%$ level.

B

Evidence exists that the second has employees with more experience than those at the first store, significant at the $10\%$ level, but not at the $5\%$ or $1\%$ levels.

C

Evidence exists the second store has employees with more experience than those at the first store $1$, significant at the $5\%$ level.

D

There is insufficient evidence that employees at the second store have more experience than those at the first store, at the $10\%$ level.

E

There is no evidence of there not being a difference in employee experience between the two stores, at the $10\%$ level.

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