Suppose That a Random Sample of 100 Observations Was Drawn

question 53

Essay

Suppose that a random sample of 100 observations was drawn from a population. After calculating the mean and standard deviation, each observation was standardised and the number of observations in each of the intervals below was counted. Can we infer at the 10% significance level that the data were drawn from a normal population? $$\begin{array} { | c | c | } \hline \text { Intervals } & \text { Frequency } \\\hline Z \leq - 1 & 12 \\\hline - 1 < Z \leq 0 & 32 \\\hline 0 < Z \leq 1 & 36 \\\hline Z > 1 & 20 \\\hline\end{array}$$

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Definitions:

Protestants

Followers of any of the Christian denominations that broke away from the Roman Catholic Church during the Protestant Reformation.

Absolute Monarchy

A form of government where the monarch holds supreme authority, unrestricted by laws or constitution; their word or decree is law.

Louis XIII

King of France from 1610 to 1643, known for strengthening the French monarchy and establishing absolute monarchy as the form of government.

Valois Dynasty

A royal dynasty of France that ruled from 1328 to 1589, known for its involvement in the Hundred Years' War and the Wars of Religion.