The Following MINITAB Output Display Presents the Results of a Hypothesis

question 36

Multiple Choice

The following MINITAB output display presents the results of a hypothesis test for the difference $\mu _ { 1 } - \mu _ { 2 }$ between two population means.
$\begin{array}{l}\text { Two-sample T for X1 vs X2 }\\\begin{array}{rrrrc} & \mathrm{N} & \text { Mean } & \text { StDev } & \text { SE Mean } \\\text { A } & 15 & 71.319 & 24.905 & 6.430 \\\text { B } & 15 & 50.450 & 24.951 & 6.442\end{array}\end{array}$

Difference $= \operatorname { mu } ( \mathrm { X } 1 ) - \mathrm { mu } ( \mathrm { X } 2 )$
Estimate for difference: $20.869$
$95 \%$ CI for difference: $( 3.028,38.710 )$
T-Test of difference $= 0 ($ vs not $= ) :$ T-Value $= 2.292686$
P-Value $= 0.029586 \quad$ DF $= 28$
How many degrees of freedom are there for the test statistic?

• A) 27
• B) 0.029586
• C) 28
• D) 20.869

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Definitions:

Observed Score

The score that is recorded or observed. See True Score.

Error Score

The difference between observed values and the values predicted by a model or measure, indicating measurement error or variance.

True Score

The score that, if it could be observed, would reflect the actual ability or behavior being measured. See Observed score.

Accounts Receivable Turnover

A financial metric indicating how many times a company collects its average accounts receivable within a certain period.