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A local sandwich shop decided to slash their prices in an attempt to increase weekly sales.

Historically, their gross sales have been $\$6{,}515$ per week. Since slashing their prices, the last $10\text{ weeks}$ have averaged $\$6{,}879$ per week in sales with a standard deviation of $\$400$.

If the manager wishes to test whether the sales promotion was successful, what would the appropriate null and alternative hypotheses be?

A

${ H }_{ 0 }: \mu = 0$

${ H }_{ a }: \mu > 0$

B

${ H }_{ 0 }: \mu = 6515$

${ H }_{ a }: \mu ≠ 6515$

C

${ H }_{ 0 }: \mu = 6515$

${ H }_{ a }: \mu > 6515$

D

${ H }_{ 0 }: \mu = 6879$

${ H }_{ a }: \mu ≥ 6879$

E

${ H }_{ 0 }: \mu = 6879$

${ H }_{ a }: \mu ≠ 6879$

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