The Following Data Are Believed to Have Come from a Normal

question 89

Essay

The following data are believed to have come from a normal probability distribution. $$\begin{array} { | l | l | r | r | r | r | r | r | r | r | } \hline 26 & 21 & 25 & 20 & 21 & 29 & 26 & 23 & 22 & 24 \\\hline 24 & 30 & 23 & 32 & 26 & 24 & 32 & 16 & 36 & 26 \\\hline 21 & 31 & 26 & 23 & 32 & 35 & 40 & 30 & 14 & 26 \\\hline 46 & 27 & 33 & 25 & 27 & 21 & 26 & 18 & 29 & 36 \\\hline\end{array}$$ The mean of this sample equals 26.80, and the standard deviation equals 6.378. Use the goodness-of-fit test at the 5% significance level to test this claim.

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Definitions:

Gross Motor Activity

Physical actions that involve large muscle groups and are essential for movement, such as walking, running, and jumping.

Rough-And-Tumble Play

A form of play that involves physical activities such as running, jumping, and play fighting, important for social and physical development.

Father Activity Level

The involvement and physical engagement of a father in activities with their children, which may influence child development and emotional bonds.

Kellogg

A multinational food manufacturing company known for its cereal and convenience foods.