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When a is unknown and the sample is of size n 2 30, there are two methods for computing confidence intervals for u. Method 1: Use the Student's t distribution with d.f. = n- 1. This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method. Method 2: When n 2 30, use the sample standard devlation s as an estimate for o, and then use the standard normal distribution. This method is based on the fact that for large samples, s is a fairly good approximation for o. Also, for large n, the critical values for the Student's t distribution approach those of the standard normal distribution. Consider a random sample of size n = 41, with sample mean x = 44.5 and sample standard deviation s= 4.7. (a) Compute 90%, 95%, and 99% confidence intervals for u using Method 1 with a Student's t distribution. Round endpoints to two digits after the decimal. 90% 95% 99% lower limit upper limit (b) Compute 90%, 95%, and 99% confidence Intervals for u using Method 2 with the standard normal distribution. Use s as an estimate for o. Round endpoints to two digits after the decimal. 90% 95% 99% lower limit upper limit (C) Compa

When a is unknown and the sample is of size n 2 30, there are two methods for computing confidence intervals for u. Method 1: Use the Student's t distribution with d.f. = n- 1. This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method. Method 2: When n 2 30, use the sample standard devlation s as an estimate for o, and then use the standard normal distribution. This method is based on the fact that for large samples, s is a fairly good approximation for o. Also, for large n, the critical values for the Student's t distribution approach those of the standard normal distribution. Consider a random sample of size n = 41, with sample mean x = 44.5 and sample standard deviation s= 4.7. (a) Compute 90%, 95%, and 99% confidence intervals for u using Method 1 with a Student's t distribution. Round endpoints to two digits after the decimal. 90% 95% 99% lower limit upper limit (b) Compute 90%, 95%, and 99% confidence Intervals for u using Method 2 with the standard normal distribution. Use s as an estimate for o. Round endpoints to two digits after the decimal. 90% 95% 99% lower limit upper limit (C) Compa

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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When o is unknown and the sample is of size n 2 30, there are two methods for computing confidence intervals foru. Method 1: Use the Student's t distribution with d.f. = n-1. This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method. Method 2: When n2 30, use the sample standard devlation s as an estimate for o, and then use the standard normal distribution. This method is based on the fact that for large samples, s is a fairly good approximation for o. Also, for large n, the critical values for the Student's t distribution approach those of the standard normal distribution. Consider a random sample of size n = 41, with sample mean x = 44.5 and sample standard deviation s= 4.7. (a) Compute 90%, 95%, and 99% confidence intervals for u using Method 1 with a Student's t distribution. Round endpoints to two digits after the decimal. 90% 95% 99% lower limit upper limit (b) Compute 90%, 95%, and 99% confidence intervals for u using Method 2 with the standard normal distribution. Use s as an estimate for o. Round endpoints to two digits after the decimal. 90% 95% 99% lower limit upper limit (C) Compare intor
Transcribed Image Text:When o is unknown and the sample is of size n 2 30, there are two methods for computing confidence intervals foru. Method 1: Use the Student's t distribution with d.f. = n-1. This is the method used in the text. It is widely employed in statistical studies. Also, most statistical software packages use this method. Method 2: When n2 30, use the sample standard devlation s as an estimate for o, and then use the standard normal distribution. This method is based on the fact that for large samples, s is a fairly good approximation for o. Also, for large n, the critical values for the Student's t distribution approach those of the standard normal distribution. Consider a random sample of size n = 41, with sample mean x = 44.5 and sample standard deviation s= 4.7. (a) Compute 90%, 95%, and 99% confidence intervals for u using Method 1 with a Student's t distribution. Round endpoints to two digits after the decimal. 90% 95% 99% lower limit upper limit (b) Compute 90%, 95%, and 99% confidence intervals for u using Method 2 with the standard normal distribution. Use s as an estimate for o. Round endpoints to two digits after the decimal. 90% 95% 99% lower limit upper limit (C) Compare intor
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