91Ó°ÊÓ

i. Using the $TI-83$calculator or the $TI-83,83+,84,84+$calculators, state the confidence interval.

Make a list of the information.

Press STAT button and then arrow $→$to TESTS.

Arrow $↓$to $8:T$Interval.

Press ENTER button.

Arrow to $→$and press ENTER.

Arrow $↓$and enter the name of the list where the data is stored.

Enter Freq : 1 Enter $\mathit{C}$- Level : $.9$

Arrow $↓$to

Calculate and hit the Enter key.

The confidence interval's output,

$CI=(5740.1,7109.9)$

ii. The graph is as follows:

iii. The formula is used to compute the error bound.

$EBM=t_{n-1}\left(\frac{a}{2}\right)\frac{s}{\sqrt{n}}$

$EBM=t_{84-1}\left(\frac{0.05}{2}\right)\frac{3156}{\sqrt{84}}$

$EBM=665.0178$.

If you desired a lower error bound while maintaining the same degree of confidence, you should have raised the sample size.

The data recorded is we see is given below,

Fats per serving $=9,11,10,11,7,7$.

Here we calculate mean is,

$\overline{x}=\frac{9+11+10+11+7+7}{6}$

$\overline{x}=9.1667.$

Yes, the above-mentioned mean falls inside the confidence interval because the sample is so tiny that it does not usually provide reliable results.