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Name: You conduct a simple random sample of 12 of a particular species of mo
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Description: You conduct a simple random sample of 12 of a particular species of monkey and measure their tails. The mean tail length of your sample is 15 cm. If we know that 1.2 cm is the standard deviation of the tail lengths of all monkeys in the population,

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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You conduct a simple random sample of 12 of a particular species of monkey and measure their tails. The mean tail length of your sample is 15 cm. If we know that 1.2 cm is the standard deviation of the tail lengths of all monkeys in the population, then what is a 90% confidence interval for the mean tail length of all monkeys of this species?

Round ALL answers to 3 decimal places.

To compute this CI, I will need to use the distribution (z or t).

The critical value (from the table) that I need to compute the margin of error is: .

The margin of error for my interval is: .

The lower bound of my CI is: and the upper bound of my Ci is:

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 + ...

Expert Solution

Step 1

Given information

Mean x̅ = 15 cm

Standard deviation σ = 1.2

Sample size n = 12

To compute C.I, we will use Z- test

Critical value is given by

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