Solve the Problem $\chi ^ { 2 }$ Values Can Be Approximated as Follows

question 182

Multiple Choice

Solve the problem. For large numbers of degrees of freedom, the critical $\chi ^ { 2 }$ values can be approximated as follows: $x ^ { 2 } = \frac { 1 } { 2 } ( z + \sqrt { 2 k - 1 } ) ^ { 2 }$ , where $k$ is the number of degrees of freedom and $z$ is the critical value. To find the lower critical value, the negative $z$ -value is used, to find the upper critical value, the positive $z$ -value is used. Use this approximation to estimate the critical value of $\chi ^ { 2 }$ in a two-tailed hypothesis test with $n = 104$ and $\alpha = 0.10$ .

• A) \(\chi ^ { 2 } \approx 80.300\) and \(\chi ^ { 2 } \approx 127.406\)
• B) \(\chi ^ { 2 } \approx 84.992\) and \(\chi ^ { 2 } \approx 121.646\)
• C) \(\chi ^ { 2 } \approx 85.903\) and \(\chi ^ { 2 } \approx 122.735\)
• D) \(\chi ^ { 2 } \approx 81.186\) and \(\chi ^ { 2 } \approx 128.520\)

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Definitions:

Activity-Based Costing

A costing method that assigns overhead and indirect costs to related products and services by identifying cost drivers.

Direct Labor-Hours

The total hours worked by employees directly involved in the manufacturing process or providing services, used as a basis for allocating labor costs.

Direct Materials Cost

The expenditure on raw materials that are directly incorporated into a manufactured item.

Activity-Based Costing

A pricing technique that allocates overhead and indirect expenses to corresponding goods and services according to their consumption of resources.