Tony V. owns a house painting business in Seattle. He estimates that it takes his crew three- and-a-half days to paint the interior of a typical house. He has no estimate of the population standard deviation, ơ. He is testing a new paint that is supposed to dry faster than the paint he has been using for over thirty years. He estimates that the average time to paint a house is 3.5 days, the new paint is just as good as the old paint and costs the same. The question Tony wants to answer is: Does the new paint allow him to complete a house painting job faster than the paint he has been using? He takes a random sample of 25 homes and paints them with the new paint. Here are the results: 3.25 3.75 3.33 3.33 3.33 3.33 3.00 3.40 3.50 3.40 2.75 2.85 3.85 3.33 3.33 3.25 3.00 3.50 3.50 3.33 3.33 2.75 3.50 0.33 3.40

Tony V. owns a house painting business in Seattle. He estimates that it takes his crew three- and-a-half days to paint the interior of a typical house. He has no estimate of the population standard deviation, ơ. He is testing a new paint that is supposed to dry faster than the paint he has been using for over thirty years. He estimates that the average time to paint a house is 3.5 days, the new paint is just as good as the old paint and costs the same. The question Tony wants to answer is: Does the new paint allow him to complete a house painting job faster than the paint he has been using? He takes a random sample of 25 homes and paints them with the new paint. Here are the results: 3.25 3.75 3.33 3.33 3.33 3.33 3.00 3.40 3.50 3.40 2.75 2.85 3.85 3.33 3.33 3.25 3.00 3.50 3.50 3.33 3.33 2.75 3.50 0.33 3.40

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The average exam score of a physics class is 75 points with a standard deviation of 3 points. Peter…

A: Given information Mean µ= 75 Standard deviation σ = 3 Peter’s score x = 72

Q: A brother and sister took two different standardized tests. He scored 114 on a test that had a mean…

A: Given that, A brother and sister took two different standardized tests. He scored 114 on a test…

Q: The blue catfish (Ictalurus Furcatus) is the largest species of North Amercian catfish. The current…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: Three potential employees took an aptitude test. Each person took a different version of the test.…

A: Step 1:First determine the z-score for three candidates by using the formula .z=σx−μwhere μ is the…

Q: |(a) What are the null hypothesis Ho and the alternative hypothesis Hj that should be used for the…

A: Test is that whether the mean weight of babies is greater than 7.2 pound. The type I error is…

Q: The summary data from study demonstrates a stronger relationship between how many minutes per day a…

A: Given : A standard deviation is a measure of how dispersed the data is in relation to the mean. Low…

Q: The duration of gestation in healthy humans is approximately normally distributed with a mean of 280…

Q: how did you find the standard deviation to be 1.2. explain clearly?

A: Here we have to explain the how we get standard deviation is 1.2

Q: Write a sentence in your lab report explaining the effect that adding the two new data points had on…

A: From the given information,Original data points = {60,31,50,48,50,54,56,62,53}New additional points…

Q: Sophia's final exams have an average of 78 and a standard deviation of 6. If she wants 4% of her…

Q: You have collected a simple random sample of 39 students. On average (the average here is measured…

A: In this case, the minimum amount spent on books is $398 and maximum amount is $804.

Q: once, so that they na standard deviat

A: Alex cuts four sticks one at a time and their lengths are independent with mean = 8 and Standard…

Q: mar is trying out to be a firefighter. On the written exam, the mean of everyone who takes the test…

A: given data, μ=54.5σ=3.1Omar scores exactly 0.75 standard deviations above the mean z=0.75raw score…

Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

Q: e are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a…

A: For ACT scores:Mean of the distribution, Standard deviation of the distribution, The distribution of…

Q: A medical lab tested a sample of 8 vials of blood for acidity on the pH scale. Use this data to…

Q: A machine makes sticks of butter whose average weight is 4.0 ounces. The SD of the weights is 0.05…

Q: Americans (on average) individually eat 16 pounds of seafood each year with a standard deviation of…

A: Given that x̄ = 14 , μ = 16 , ? = 7 , n = 4

Q: Step 1. Test Set-up Tony V. owns a house painting business in Seattle. He estimates that it takes…

A: Hey there! As per our policy we can answer only 3 sub-parts at a time. Please make a new request for…

Q: Report anything you noticed about the way the graphs were shaped, how they were different as the…

A: Considering the Reese’s Pieces candies manufactured by Hershey are 25 candies: Physical Sample:…

Q: There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on…

Q: A California lake has been stocked with rainbow trout. These trout have an average length of 24…

A: Given Information: Mean μ=24 Standard deviation σ=3 Someone goes fishing and catches a trout that is…

Q: Jared has a mean of 74 on his quizzes, with a standard deviation of 7. On his most recent quiz, he…

A: If the z-score lies within 2 standard deviation away from the mean, then the score is not unusual…

Q: 5. The quality control manager at a light bulb factory needs to estimate the mean life of a large…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on…

Q: My Physics professor announced that top 18% will get A in the class. Class mean is 72,…

A: Let X= score of a student Given that X follows a normal distribution with mean=72 and standard…

Q: Jack had an average score of 75 with a standard deviation of 3. Mikes z-score was 1.85. His actual…

A: We have given that, X be the random variable from normal distribution with mean Or average score…

Q: How does a nonzero constant number c change a standard deviation problem?

A: Standard deviation is independent of change of origin but it affects by the change of scale.

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

8:51
Assignment06_RamnarainV - Saved
Exercise 2
Step 1. Test Set-up
Tony V. owns a house painting business in Seattle. He estimates that it takes his crew three-
and-a-half days to paint the interior of a typical house. He has no estimate of the population
standard deviation, o. He is testing a new paint that is supposed to dry faster than the paint
he has been using for over thirty years. He estimates that the average time to paint a house
is 3.5 days, the new paint is just as good as the old paint and costs the same. The question
Tony wants to answer is: Does the new paint allow him to complete a house painting
job faster than the paint he has been using? He takes a random sample of 25 homes and
paints them with the new paint. Here are the results:
3.25 3.75 3.33 3.33 3.33
3.33 3.00 3.40 3.50 3.40
2.75 2.85 3.85 3.33 3.33
3.25 3.00 3.50 3.50 3.33
3.33 2.75 3.50 0.33 3.40
The population mean, µ, is presumed to be 3.5 days and the population standard
deviation, o, is unknown. Using Microsoft Excel, find the sample mean, X, and sample
standard deviation, s, and complete the appropriate significance test. What test statistic
should you use?
Step 2. Select the Level of Significance, a
The level of significance is set at 5 percent.
Step 3. State the null hypothesis (Ho) and alternate hypothesis (H1)
Họ:
H1:
Step 4. Compose the Decision Rule
Step 5. Calculate the Value of the Test Statistic, p-value, Effect Size, and Power
Page 4 of 6
Fall 2020, BU203, Assignment 6
Step 6: Decide and Report
II

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

A large number of applicants for admission to graduate study in business are given an aptitude test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What fraction of the applicants would you expect to have a score of 350 or above?
Please answer B, C, & D.
Neil scored 67 on his calculus class final and was devastated by his failing grade. His class distribution had a mean of 54 and a standard deviation of 7. Greg was quite proud of his score of 88 for his Spanish language class. His class distribution had a mean of 97 with a standard deviation of 6. Who did better relative to their class?
Todd just got back his exam grades in three classes. In biology the class mean was 75.80 with a standard deviation of 5.15, Todd got an 84.00. In political science the class mean was 84.00 with a standard deviation of 5.50, Todd got an 84.00. In economics the class mean was 87.50 with a standard deviation of 5.60, Todd got a 84.00. 4. Which class showed the highest variability in scores? 5. Which class showed the lowest variability in scores? 6. Which class had the highest average test score?
Jerome made a grade of 89.7 on his test. The mean of the test scores was 71.4 with a standard deviation of 6.8. In what top percent can Jerome say he is, based on the tes
You are interested in whether or not two different measures of child behaviour are different. The measurement tools both require the child teacher to fillout a question about the child, you give both questionares to Avery teacher and obtain two scores. On the CBCL, Avery score is is 68.On the BASC, Avery score is 32. The CBCL has a mean of 100 and a stardard deviation of 15. The BASC has a mean of 50 and a standard deviation of 10. (a) what is Avery z score on CBCL (b) What is Avery z score on BASC (c) On which test is Avery score lower relative to the population (CBCL/BASC) (d) The cutoff score for clinical diagnosis for both tests of -2 on either test are considerd clinically signifcantly concern. Do these tests give the same resultling diagnosis ? (yesy/no)
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores is approximately Normal with mean = 21.5 and standard deviation = 5.4. SAT Scores are reported on a scale from 600 to 2400. The distribution of SAT scores is approximately Normal with mean = 1498 and standard deviation = 316. (b) Joshua scores 17 on the ACT. Anthony scores 1030 on the SAT. Assuming both tests measure the same thing, who has the higher score? Report both z-scores. (c) What is the purpose of finding the z-scores for both the ACT and SAT scores?
Manny creates a new type of bowling ball. His new model knocked down an average of 8.96 pins, with a standard deviation of 1.35 pins. The older model bowling ball knocked down 7.79 pins on average, with a standard deviation of 3.63 pins. He tested each bowling ball model 10 times. What is the effect size of the difference in the bowling ball models? (Write your answer below, to two decimal places as a positive value; sign doesn't matter)
Manny creates a new type of bowling ball. His new model knocked down an average of 9.46 pins, with a standard deviation of 1.37 pins. The older model bowling ball knocked down 8.15 pins on average, with a standard deviation of 3.71 pins. He tested each bowling ball model 10 times. What is the effect size of the difference in the bowling ball models? (Write your answer below, to two decimal places as a positive value; sign doesn't matter)
In some reports, the mean and coefficient of variation are given. For instance, one report gives the average number of physician visits by males per year. The average reported is 2.6, and the reported coefficient of variation is 2.3%. Use this information to determine the standard deviation of the annual number of visits to physicians made by males. (Round your answer to three decimal places.)