You are performing a study about the weight of preschoolers. A previous study found the weights to be
normally distributed with a mean of 30 and a standard deviation of 4. You randomly sample 30 preschool
children and find their weights to be as follows. $$\begin{array} { l l l l l l l l l l }
25 & 25 & 26 & 26.5 & 27 & 27 & 27.5 & 28 & 28 & 28.5 \
29 & 29 & 30 & 30 & 30.5 & 31 & 31 & 32 & 32.5 & 32.5 \
33 & 33 & 34 & 34.5 & 35 & 35 & 37 & 37 & 38 & 38
\end{array}$$ a)Draw a histogram to display these data. Use seven classes. Do the weights appear to be normally
distributed? Explain.
b)Find the mean and standard deviation of your sample.
c)Is there a high probability that the mean and standard deviation of your sample are consistent
with those found in previous studies? Explain your reasoning.

Question

You are performing a study about the weight of preschoolers. A previous study found the weights to be
normally distributed with a mean of 30 and a standard deviation of 4. You randomly sample 30 preschool
children and find their weights to be as follows. $$\begin{array} { l l l l l l l l l l } 
25 & 25 & 26 & 26.5 & 27 & 27 & 27.5 & 28 & 28 & 28.5 \
29 & 29 & 30 & 30 & 30.5 & 31 & 31 & 32 & 32.5 & 32.5 \
33 & 33 & 34 & 34.5 & 35 & 35 & 37 & 37 & 38 & 38
\end{array}$$ a)Draw a histogram to display these data. Use seven classes. Do the weights appear to be normally
distributed? Explain.
b)Find the mean and standard deviation of your sample.
c)Is there a high probability that the mean and standard deviation of your sample are consistent
with those found in previous studies? Explain your reasoning.

Quizplus · Accepted Answer

The Answer of You are performing a study about the weight of preschoolers. A previous study found the weights to be
normally distributed with a mean of 30 and a standard deviation of 4. You randomly sample 30 preschool
children and find their weights to be as follows. $$\begin{array} { l l l l l l l l l l } 
25 & 25 & 26 & 26.5 & 27 & 27 & 27.5 & 28 & 28 & 28.5 \
29 & 29 & 30 & 30 & 30.5 & 31 & 31 & 32 & 32.5 & 32.5 \
33 & 33 & 34 & 34.5 & 35 & 35 & 37 & 37 & 38 & 38
\end{array}$$ a)Draw a histogram to display these data. Use seven classes. Do the weights appear to be normally
distributed? Explain.
b)Find the mean and standard deviation of your sample.
c)Is there a high probability that the mean and standard deviation of your sample are consistent
with those found in previous studies? Explain your reasoning.

You Are Performing a Study About the Weight of Preschoolers