A consumer products company isformulating a new shampoo and isinterested in foam height (in millimeters).Foam height is approximately normallydistributed and has a standard deviationof 20 millimeters. The company wishes totest Ho:μ = 175 millimeters versusH₁:μ> 175 millimeters, using the resultsof n samples. Find the boundary of thecritical region if the type I errorprobability is a = 0.03 and n = 4.Round your intermediate values to twodecimal places. Round your answer to onedecimal places (e.g. 98.76).X Zi

Given: Sample size (n) = 4 Population standard deviationσ =20 Hypothesized mean μ=175 α=0.03 The…

Answered: A consumer formulating products company…

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

Similar questions

The owner of a coin-operated hot coffee machine has received claims that there is an error in his machine, and it is not dispensing enough hot coffee into hand-held cups. He takes a random sample of 46 “8 oz servings” from a large number of servings and finds that the mean is 7.93 fluid ounces with a standard deviation of 0.38 ounces. Is this evidence of error in the machine if ? = 0.05? Use the P-Value method.
Over a short period of time, a roller bearing manufacturer finds that 2% of the bearings exceed the USL diameter of 2.01 cm and 2% are less than the LSL of 1.99 cm. If the distribution ofdiameters is normal:a) What is the mean diameter?b) What is the standard deviation?c) What is Cp for the process?
The slant shear test is widely accepted for evaluating the bond of resinous repair materials to concrete; it utilizes cylinder specimens made of two identical halves bonded at 30°. An article reported that for 12 specimens prepared using wire-brushing, the sample mean shear strength (N/mm2) and sample standard deviation were 18.60 and 1.56, respectively, whereas for 12 hand-chiseled specimens, the corresponding values were 23.19 and 4.07. Does the true average strength appear to be different for the two methods of surface preparation? State and test the relevant hypotheses using a significance level of 0.05. (Use ?1 for wire-brushing and ?2 for hand-chiseling.) H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≤ 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 < 0 H0: ?1 − ?2 = 0Ha: ?1 − ?2 > 0H0: ?1 − ?2 = 0Ha: ?1 − ?2 ≠ 0 Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = You may have computed…
The article “Approximate Methods for Estimating Hysteretic Energy Demand on PlanAsymmetric Buildings” (M. Rathhore, A. Chowdhury, and S. Ghosh, Journal of Earthquake Engineering, 2011: 99–123) presents a method, based on a modal pushover analysis, of estimating the hysteretic energy demand placed on a structure by an earthquake. A sample of 18 measurements had a mean error of 457.8 kNm with a standard deviation of 317.7 kNm. An engineer claims that the method is unbiased, in other words, that the mean error is 0. Can you conclude that this claim is false?
Ishikawa et al. (Journal of Bioscience and Bioengineering, 2012) studied the adhesion of various biofilms to solid surfaces for possible use in environmental technologies. Adhesion assay is conducted by measuring absorbance at A590. Suppose that for the bacterial strain Acinetobacter, five measurements gave readings of 2.69, 5.76, 2.67, 1.62 and 4.12 dyne-cm2. Assume that the standard deviation is known to be 0.66 dyne-cm2. Find a 95% confidence interval for the mean adhesion. Use the Scientific Method of Answering (Given, Required, Formula and Solution).
Hélène is responsible for a group of travelers who areboast of covering an average of 250 km per day, during a70 day trip. To verify this assertion, Hélènetakes a sample of 20 daily journeys without replacementand finds an average journey of 224 km with a standard deviation21 km sample. Assuming that the route oftravelers is a variable which obeys a normal law, we can say, at the level of significance α = 0.1, that travelersexaggerate in their assertion?
A particular manufacturing design requires a shaft with a diameter of 21.000 mm, but shafts with diameters between 20.990 mm and 21.010 mm are acceptable. The manufacturing process yields shafts with diameters normally distributed, with a mean of 21.005 mm and a standard deviation of 0.006 mm. Complete parts (a) through (d) below. a. For this process, what is the proportion of shafts with a diameter between 20.990mm and 21.000 mm? The proportion of shafts with diameter between 20.990 mm and 21.000 mm is . (Round to four decimal places as needed.) b. For this process, what is the probability that a shaft is acceptable? The probability that a shaft is acceptable is . (Round to four decimal places as needed.) c. For this process, what is the diameter that will be exceeded by only 2.5% of the shafts? The diameter that will be exceeded by only 2.5% of the shafts is 17.0118 mm. (Round to four decimal places as needed.) d. What would be your answers to parts (a) through…
Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure oil-filled submarine power cable, a company wants to see conclusive evidence that the true standard deviation of sheath thickness is less than 0.05 mm. What hypothesis should be tested, and why? In this context, what are the type I and type II errors?
Two competing internet routers, A and B, are being compared for the transmission speeds they can achieve for a random selection of transmitted files. The company which produces router A claims that its transmission speed exceeds that of router B. To compare, 1000 randomly selected file transmissions are monitored for each router. The sample mean and sample standard deviation of the transmission speed for router A was determined to be 10.04 and 0.987 GB/sec, respectively, while the same parameters for router B were 8.972 and 1.032 GB/sec, respectively. a) Is it reasonable to assume that the true standard deviations are known? Why or why not? b) Construct a 95% confidence interval on the mean transmission speed for router A. c) Construct a 95% confidence interval on the mean transmission speed for router B. d) By constructing a 95% confidence interval on the difference between the means, would you say that the claim made by the company producing router A is reasonable?
The Merck Manual states that, for healthy adults, the mean number of milliliters of oxygen per deciliter of blood is 19.0. A company that sells vitamins claims that its multivitamin complex will increase the oxygen capacity of the blood. A random sample of 28 adults took the vitamin for six months. After blood tests, it was found that the sample mean was 20.7 ml of oxygen per deciliter of blood with a standard deviation of 6.7ml. a. At the 0.05 level, test the claim that the average oxygen capacity has increased. b. How much power do you have to detect a 3ml difference (from the null) in the average amount of oxygen in the blood? c. What sample size would you need to have 90% power to detect this observed difference?
Acrylic bone cement is sometimes used in hip and knee replacements to fix an artificial joint in place. The force required to break an acrylic bone cement bond was measured for six specimens under specified conditions, and the resulting mean and standard deviation were 306.03 newtons and 41.91 newtons, respectively. Assuming that it is reasonable to believe that breaking force under these conditions has a distribution that is approximately normal, estimate the mean breaking force for acrylic bone cement under the specified conditions using a 95% confidence interval. (Use a table or technology. Round your answers to three decimal places.) , N
A soda manufacturer is interested in determining whether its bottling machine tends to overfill. Each bottle is supposed to contain 12 ounces of fluid. A random sample of 25 bottles was taken and found that the mean amount of soda of the sample of bottles is 12.1 ounces with a standard deviation of 0.2 ounces. Level of significance at 0.05, formulate the null and alternative hypothesis. A. Ho: μ = 12 ounces Ha: μ ≠ 12 ounces B. Ho: μ > 12 ounces Ha: μ = 12 ounces C. Ho: μ = 12 ounces Ha: μ > 12 ounces D. Ho: μ ≠ 12 ounces Ha: μ = 12 ounces

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

A consumer formulating products company is a new shampoo and is interested in foam height (in millimeters) Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Hou 175 millimeters versus