Math / Data & Statistics

QuestionA population has mean $\mu=29^{\circ}$ and standard deviation $\sigma=6$ . Round the answers to two decimal places as needed.
Part 1 of 3 (a) Find the $z$ -score for a population value of 6 .
The $z$ -score for a population value of 6 is -3.83 .
Part 2 of 3 (b) Find the $z$ -score for a population value of 40 .
The $z$ -score for a population value of 40 is 1.83 .
Part: $2 / 3$
Part 3 of 3 (c) What number has a $z$ -score of -1.1 ?

Studdy Solution
Calculate the value of $X$ :
$X = (-1.1) \cdot 6 + 29 = -6.6 + 29 = 22.4$
The population value corresponding to a $z$ -score of $-1.1$ is $22.4$ degrees.

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