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...

part B C

Extracted 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.