Assuming that the number of birds is normally distributed, approximate a 90% confidence intervalfor the actual mean. 4.In a research study a group of 10 students were asked to count the number of birds theysaw in a park over a one hour period. Their counts were:102, 95, 101, 94, 93, 106, 92, 87, 104, 105(a) Write down formulas for unbiased estimators for the expected value (actual mean) and variancefrom a sample of size 10.(b) Write down a formula for a biased estimator for the standard deviation from a sample of size 10.(c) Using these formulas or otherwise, calculate the sample mean and sample standard deviation ofthis data.

Let the number of birds seen by students.Data: Xi1029510194931069287104105To determine the CI for…

Answered: In a research study a group of 10…

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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Assuming that the number of birds is normally distributed, approximate a 90% confidence interval
for the actual mean.

4.
In a research study a group of 10 students were asked to count the number of birds they
saw in a park over a one hour period. Their counts were:
102, 95, 101, 94, 93, 106, 92, 87, 104, 105
(a) Write down formulas for unbiased estimators for the expected value (actual mean) and variance
from a sample of size 10.
(b) Write down a formula for a biased estimator for the standard deviation from a sample of size 10.
(c) Using these formulas or otherwise, calculate the sample mean and sample standard deviation of
this data.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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