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StatisticsQ&A LibraryThe amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 7 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimal places where possibleFind the IQR for the average of 35 coffee drinkers.Q1 = ouncesQ3 = ouncesIQR: ouncesCan you show me the process on a ti84Question

Asked Dec 2, 2019

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The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 7 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimal places where possible

Find the IQR for the average of 35 coffee drinkers.

Q1 = ounces

Q3 = ounces

IQR: ounces

Can you show me the process on a ti84

Step 1

It is given that the mean and standard deviation are 17 and 7, respectively.

By using central limit theorem,

Step 2

Here, the sample size *n* is 35.

The mean is **17** and the standard deviation is **1.1832** (=7/Sqrt(35)).

Since, the distribution of the population is normal. Hence, the distribution of x bar is normal and x bar follows **N(17, 1.1832)**.

The first quartile using TI-83 is obtained as follows:

- Enter
**2**.^{nd}> DISTR - Choose
**InvNorm(**. - Enter
**invNorm(0.25,17,1.1832)** - Click Enter
**.**

From, the output the first quartile is approximately **16.20**.

Step 3

The third quartile using TI-83 is obtained as follows:

- Enter
**2nd > DISTR**. - Choose
**InvNorm(**. - Enter
**invNorm(0.75,17,1.1832)** - Click Enter
**.**

From, the output th...

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