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Sagot :
[tex]\begin{gathered} z\text{ = }\frac{x\text{ - }\mu}{\sigma} \\ \mu\text{ is the mean} \\ \sigma\text{ is the standard deviation} \end{gathered}[/tex]
Alissa z score
x = 86.5 mean = 73.7 standard deviation = 8
[tex]\begin{gathered} z\text{ = }\frac{86^{\prime}5\text{ - 73.7}}{8} \\ =\frac{12.8}{8} \\ =\text{ 1.6} \end{gathered}[/tex]Emillo z score
x = 290.9 mean = 272 standard deviation = 21
[tex]\begin{gathered} z\text{ =}\frac{290.9\text{ - 272}}{21} \\ =\text{ }\frac{18.9}{21} \\ =\text{ 0.9} \end{gathered}[/tex]Frankie z score
x = 7.5 mean = 7.2 standard deviation = 0.6
[tex]\begin{gathered} z\text{ = }\frac{7.5\text{ - 7.2}}{0.6} \\ =\text{ }\frac{0.3}{0.6} \\ =\text{ 0.5} \end{gathered}[/tex]Final answer
From the normal distribution table
Alissa value = 0.4452
Emillo value
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