Answer:
1.94%
Explanation:
From the given information:
• The average number of teaspoons of sugar consumed each day = 22.7
,
• Standard deviation = 4.5
We want to find the percentage of people who consume more than 32 teaspoons of sugar a day.
In order to do this, first, we find the z-value at X=32 using the z-score formula.
[tex]\begin{gathered} z-\text{score}=\frac{X-\mu}{\sigma} \\ At\text{ X=32, }z-\text{score}=\frac{32-22.7}{4.5}=\frac{9.3}{4.5}=2.0667 \end{gathered}[/tex]
Next, from the z-score table:
[tex]P\mleft(x>2.0667\mright)=0.019381=1.9381\%[/tex]
Approximately 1.94% of people consume more than 32 teaspoons of sugar a day.
