Use the Partial Table Below to Find the P-Value That $\underline{\text { Standard Score and Percentiles for a Normal Distribution }}$

question 2

Multiple Choice

Use the partial table below to find the P-value that corresponds to the standard z-score, and determine whether the
alternative hypothesis is supported or not supported at the 0.05 significance level. $\underline{\text { Standard Score and Percentiles for a Normal Distribution }}$
$\begin{array}{rlrlll}\underline{Z }&\underline{ \% }\ &\underline{ Z }& \underline{\% }&\underline{Z }& \underline{\%}\\ -3.5 & 0.02 & -1.0 & 15.87 & 1.5 & 93.32 \\-3.0 & 0.13 & -0.5 & 30.85 & 2.0 & 97.72 \\-2.5 & 0.62 & 0.0 & 50.00 & 2.5 & 99.38 \\-2.0 & 2.28 & 0.5 & 69.15 & 3.0 & 99.87 \\-1.5 & 6.68 & 1.0 & 84.13 & 3.5 & 99.98\end{array}$

- $$\mathrm { z } = - 0.5 \text { for } \mathrm { H } _ { \mathrm { a } } : \mu < 60$$

• A) 0.3085; supported
• B) \(0.3085\); not supported
• C) \(0.6915\); not supported
• D) \(0.6915\); supported

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Definitions:

Cost-Benefit Analysis

A process used to evaluate the overall value of a project or decision by comparing its costs to its benefits.

Pareto Chart

A type of chart used in quality control and project management that combines both bars and a line graph, where individual values are represented in descending order by bars, and the cumulative total is represented by the line.

Cumulative Total

The sum of all values in a sequence, typically used in reference to numerical data or financial transactions.

Frequency

The rate at which something occurs over a particular period of time or in a given sample.