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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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