Homework Help is Here – Start Your Trial Now!
Math
Statistics
Suppose a random sample of 10 fish are selected from a lake and their sample mean weight is 3.5 kg. Suppose the distribution of the weights of fish in the lake is normal and the population standard deviation is known to be 1 kg. (i). Construct a 95% confidence interval for the mean weight of all fish in the lake. Show your work. (ii). Write a two-sentence conclusion for the results of the confidence interval calculations. (iii). How large the sample size should be if we want the margin of error of a 95% confidence interval to be no more than 0.1? Show your work.

Suppose a random sample of 10 fish are selected from a lake and their sample mean weight is 3.5 kg. Suppose the distribution of the weights of fish in the lake is normal and the population standard deviation is known to be 1 kg. (i). Construct a 95% confidence interval for the mean weight of all fish in the lake. Show your work. (ii). Write a two-sentence conclusion for the results of the confidence interval calculations. (iii). How large the sample size should be if we want the margin of error of a 95% confidence interval to be no more than 0.1? Show your work.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
See similar textbooks
icon
Related questions
Question

(#17) please help with all

Suppose a random sample of 10 fish are selected from a lake and their sample mean weight is 3.5 kg. Suppose the distribution of the weights of fish in the lake is normal and the population standard deviation is known to be 1 kg. (i). Construct a 95% confidence interval for the mean weight of all fish in the lake. Show your work. (ii). Write a two-sentence conclusion for the results of the confidence interval calculations. (iii). How large the sample size should be if we want the margin of error of a 95% confidence interval to be no more than 0.1? Show your work.
Transcribed Image Text:Suppose a random sample of 10 fish are selected from a lake and their sample mean weight is 3.5 kg. Suppose the distribution of the weights of fish in the lake is normal and the population standard deviation is known to be 1 kg. (i). Construct a 95% confidence interval for the mean weight of all fish in the lake. Show your work. (ii). Write a two-sentence conclusion for the results of the confidence interval calculations. (iii). How large the sample size should be if we want the margin of error of a 95% confidence interval to be no more than 0.1? Show your work.
Expert Solution
steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer