Homework Help is Here – Start Your Trial Now!
Math
Probability
2. The drying time of a type of paint under specified test conditions is known to be normally distributed with mean 75 minutes. Chemists have proposed a new additive designed to decrease average drying time. Based on a random of sample of n = 50 observations, it was found that sample mean = 72.3 with an SD of 10 minutes. Let u be the population average drying time with a new additive. (a) Is the new additive effective? Formulate the null hypothesis and answer the question at the significance level a = 5%? (b) What is the power of the test at μ = 70? What does it mean? (c) What is the sample size needed in order to have a type II error of 1% at μ = 70? (d) Based on the data above, construct a 95% confidence interval for u.

2. The drying time of a type of paint under specified test conditions is known to be normally distributed with mean 75 minutes. Chemists have proposed a new additive designed to decrease average drying time. Based on a random of sample of n = 50 observations, it was found that sample mean = 72.3 with an SD of 10 minutes. Let u be the population average drying time with a new additive. (a) Is the new additive effective? Formulate the null hypothesis and answer the question at the significance level a = 5%? (b) What is the power of the test at μ = 70? What does it mean? (c) What is the sample size needed in order to have a type II error of 1% at μ = 70? (d) Based on the data above, construct a 95% confidence interval for u.

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
See similar textbooks
icon
Related questions
Question

Hello,

Can someone please show how to solve this problem? Thank you!

2. The drying time of a type of paint under specified test conditions is known to be normally distributed with mean 75 minutes. Chemists have proposed a new additive designed to decrease average drying time. Based on a random of sample of n = 50 observations, it was found that sample mean = 72.3 with an SD of 10 minutes. Let u be the population average drying time with a new additive. (a) Is the new additive effective? Formulate the null hypothesis and answer the question at the significance level a = 5%? (b) What is the power of the test at μ = 70? What does it mean? (c) What is the sample size needed in order to have a type II error of 1% at μ = 70? (d) Based on the data above, construct a 95% confidence interval for u.
Transcribed Image Text:2. The drying time of a type of paint under specified test conditions is known to be normally distributed with mean 75 minutes. Chemists have proposed a new additive designed to decrease average drying time. Based on a random of sample of n = 50 observations, it was found that sample mean = 72.3 with an SD of 10 minutes. Let u be the population average drying time with a new additive. (a) Is the new additive effective? Formulate the null hypothesis and answer the question at the significance level a = 5%? (b) What is the power of the test at μ = 70? What does it mean? (c) What is the sample size needed in order to have a type II error of 1% at μ = 70? (d) Based on the data above, construct a 95% confidence interval for u.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS