Determine Whether the Alternative Hypothesis Is Left-Tailed, Right-Tailed, or Two-Tailed $H _ { 0 } : \mu = 11 \quad H _ { 1 } : \mu < 11$

question 3

Multiple Choice

Determine whether the alternative hypothesis is left-tailed, right-tailed, or two-tailed.
$H _ { 0 } : \mu = 11 \quad H _ { 1 } : \mu < 11$

• A) two-tailed
• B) right-tailed
• C) left-tailed

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Definitions:

Normal Distribution

A bell-shaped frequency distribution curve that is symmetric about the mean, showing that data near the mean are more frequent in occurrence.

Goodness-of-fit Test

A statistical test used to determine if a set of observed frequencies differs significantly from the expected frequencies.

Test Statistic

A value calculated from sample data during a hypothesis test, used to make a decision about the null hypothesis.

Z

In statistics, 'Z' often refers to a Z-score, which measures the number of standard deviations a data point is from the mean.