Consider the Following Printout $\mathrm { X } = \mathrm { x }$

question 22

Multiple Choice

Consider the following printout.
HYPOTHESIS: VARIANCE $\mathrm { X } = \mathrm { x }$
$$X = \text { gpa }$$
SAMPLE MEAN OF $X = 2.8731$
SAMPLE VARIANCE OF $X = .18000$
SAMPLE SIZE OF $X = 189$
HYPOTHESIZED VALUE $( x ) = 3.0$
VARIANCE $\mathrm { X } - \mathrm { x } = - .1269$
$$z = - 4.11203$$
State the proper conclusion when testing $H _ { 0 } : \mu = 3.0$ vs. $H _ { \mathrm { a } } : \mu < 3.0$ at $\alpha = .05$ .

• A) Reject \(H _ { 0 }\).
• B) Accept \(\mathrm { H } _ { 0 }\).
• C) Fail to reject \(H _ { 0 }\).
• D) We cannot determine from the information given.

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