(a) In a certain onake spocies ourvey, a random cample of 170 countrics with an average of 34 species of snakes exist in a certain country and standard deviation of 5 species. (1) Determine the standard error of the sample mean. (i) Find the 90%, 95% and 99% confidence interval for the mean. (ii) How large a sample should be used to estimate the population mean to an accuracy of 4 with 99% confidence?
(a) In a certain onake spocies ourvey, a random cample of 170 countrics with an average of 34 species of snakes exist in a certain country and standard deviation of 5 species. (1) Determine the standard error of the sample mean. (i) Find the 90%, 95% and 99% confidence interval for the mean. (ii) How large a sample should be used to estimate the population mean to an accuracy of 4 with 99% confidence?
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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Transcribed Image Text:Question 5
(a) In a certain snake species survey, a random sample of 170 countries with an average of
34 species of snakes exist in a certain country and standard deviation of 5 species.
(1) Determine the standard error of the sample mean.
(ii) Find the 90%, 95% and 99% confidence interval for the mean.
(ii) How large a sample should be used to estimate the population mean to an
accuracy of 4 with 99% confidence?
(b)
A researcher plans to survey the population of grasshopper in Sarawak. The name
lists of the town in Sarawak are:
Betong
Кapit
Mukah
Serian
Bintulu
Kuching
Samarahan
Sibu
Limbang
Miri
Sarikei
Sri Aman
The researcher has decided to select the 4 towns through a systematic sampling
technique. Describe how the sample is selected and list all 4 towns obtain through
this sampling technique. Please start at line 116 of random digits table.
(c) A research scientist reports that wild cat can live for an average of 20 years in the wild.
Assuming that the lifetimes of such wild cat are normally distributed with a standard
deviation of 2 years, determine the probability that a given wild cat will live:
(i) less than 214 months.
(ii) in between 19 years and 21 years.
(ii) more than 22 years.
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