A researcher is collecting data about age of students at a prestige university. The data listed below represents a random sample of ages by 40 students at a university. Find a point estimate of the population mean.20, 26, 18, 18, 21, 19, 31, 23, 21, 19, 27, 20, 20, 25, 31, 24, 20, 21, 19, 26, 22, 20, 23, 23, 22, 21, 19, 24, 24, 26, 27, 28, 20, 19, 23, ,32, 29, 23, 25, 27Based on this sample data, use StatCrunch to construct a 98% Confidence Intervals for the mean age of all students at this university. Interpret, in words, the meaning of the 98% confidence interval you just computed.Step 1: Enter the data in Statcrunch.Step 2: Click the menu sequence Stat →T Stats → One Sample → With Data.Populations Standard Deviation UnknownStep 3: In the One Sample Twindow that displays:In the Select columns box, select ages.In the Perform section, select Confidence Interval.In the Level box, type 0.98.Click Compute to display the confidence interval.Step 4: Show all work clearly by stating the confidence interval and interpret the meaning of the 98% confidence interval you just computed.

Answered: A researcher is collecting data about…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher is collecting data about age of students at a prestige university. The data listed below represents a random sample of ages by 40 students at a university. Find a point estimate of the population mean.

20, 26, 18, 18, 21, 19, 31, 23, 21, 19, 27, 20, 20, 25, 31, 24, 20, 21, 19, 26, 22, 20, 23, 23, 22, 21, 19, 24, 24, 26, 27, 28, 20, 19, 23, ,32, 29, 23, 25, 27

Based on this sample data, use StatCrunch to construct a 98% Confidence Intervals for the mean age of all students at this university. Interpret, in words, the meaning of the 98% confidence interval you just computed.

Step 1: Enter the data in Statcrunch.
Step 2: Click the menu sequence Stat →T Stats → One Sample → With Data.
- Populations Standard Deviation Unknown
Step 3: In the One Sample Twindow that displays:
- In the Select columns box, select ages.
- In the Perform section, select Confidence Interval.
- In the Level box, type 0.98.
- Click Compute to display the confidence interval.
Step 4: Show all work clearly by stating the confidence interval and interpret the meaning of the 98% confidence interval you just computed.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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