A consumer products company is formulating a new shampoo and isinterested in foam height (in millimeters). Foam height is approximatelynormally distributed and has a standard deviation of 20 millimeters. Thecompany wishes to test Ho: μ = 175 millimeters versus H₁ : μ> 175millimeters, using the results of n samples. Find the boundary of the criticalregion if the type I error probability is a 0.03 and n = 4.Round your intermediate values to two decimal places. Round your answer toone decimal places (e.g. 98.76).XINI

The hypotheses are:where is the foam height.The population standard deviation is millimeters.The…

Answered: A consumer products company is…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 30E

See similar textbooks

Similar questions

The average grade of engineering students in SLU is 80. The population standard deviation is 5, and the variable is regularly distributed. A professor claims that his class have a grade that is greater than the average of 80. He chooses 30 students at random and discovers that the mean of their task results is 84. At a 0.05 level, test the claim a ) what is the critical region? b) what is the z- value (or the test value? c.) What is the statistical conclusion?
A random sample of 9 size AA batteries for toys yield a mean of 3.66 hours with standard deviation, 1.05 hours. (a) Find the critical value, t, for a 99% CI. t = (b) Find the margin of error for a 99% CI.
A researcher found that a cigarette smoker smokes on average 30 cigarettes a day. She feels that this average is too high. She selected a random sample of 9 smokers and found that the mean number of cigarettes they smoked per day was 29. The sample standard deviation was 2.3. At =α0.05, is there enough evidence to support her claim? Assume that the population is approximately normally distributed. Use the critical value method and tables.
A consumer products company is formulating 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 H₁ : µ = 175 millimeters versus H₁ : µ > 175 millimeters, using the results of n samples. Find the boundary of the critical region if the type I error probability is a = 0.05 and n = 25. Round your intermediate values to two decimal places. Round your answer to one decimal places (e.g. 98.76). X > i
The supervisor of a production line believes that the average time to assemble an electronic component is 14 minutes. Assume that assembly time is normally distributed with a standard deviation of 3.4 minutes. The supervisor times the assembly of 14 components, and finds that the average time for completion was 11.6 minutes. (H0: μ=14μ=14 and H1=μ≠14μ≠14) What is the z-value for a two-sided test of hypothesis for a population mean when the probability of rejecting a true null hypothesis is equal to 0.05?
The drainage loading on a stormwater collection system is normally distributed with mean 1.2 million gallon per day (MGD) and standard deviation 0.4 MGD. Compute the system capacity, i.e., Design Life level (DDL), of the systems with a design life of 15 years and maximum risk of failure of 0.15 over its design life
The braking ability was compared for two car models. Random samples of two cars were selected. The first random sample of size 64 cars yield a mean of 36 and a standard deviation of 8. The second sample of size 64 yield a sample mean of 33 and a standard deviation of 8. Do the data provide sufficient evidence to indicate a difference between the mean stopping distances for the two models? Use Alpha= 0.01. Ho: µ1 – µ2 = 0 vs. Ha: µ1 – µ2 + 0 .p-value = 0.0017. Reject Ho Но: Д, — м2 — 0 vs. Ha:M1 — M2 + 0. p-value — 0.034. Ассеpt Ho O Ho:µ1 – Hz Но: И — 2 — 0 vs. Ha:M, — нz + 0. p-value —D 0.0017. Ассept Ho Ho: H1 – U2 = 0 vs. Ha: µ1 – µ2 + 0. p-value = 0.034. Reject Ho
A physician claims that joggers’ maximal volume oxygen uptake is greater than the average of all adults. A sample of 15 joggers has a mean of 40.6 milliliters per kilogram (ml/kg) and a standard deviation of 6 ml/kg. If the average of all adults is 36.7 ml/kg, is there enough evidence to support the physician’s claim at a = 0.05? Use the Traditonal Method of hypothesis testing. State the hypotheses and identify the claim. 1. Ho: μ C 36.7 (Choose the letter of the best answer) A. < B. > C. ≤ D. ≥ E. = F. ≠ 2. Ha: μ 36.7 (Choose the letter of the best answer) A. < B. > C. ≤ D. ≥ E. = F. ≠ 3. The claim is (Choose the letter of the best answer) A. Ho B. Ha Find the critical value(s) 4. C.V. = (Type the exact answer) Compute the test value. 5. Sample Mean: (Type the exact answer) 6. Sample Standard Deviation: (Type the exact answer) 7. Test Value: (round answer to the nearest hundreth) Make the…
A consumer products company is formulating 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 Ho : μ = 175 millimeters versus H₁:μ> 175 millimeters, using the results of n samples. Find the boundary of the critical region if the type I error probability is a = 0.03 and n = 25. Round your intermediate values to two decimal places. Round your answer to one decimal places (e.g. 98.76). X Z i Statistical Tables and Charts
The annual rainfall in a certain region is modeled using the normal distribution shown below. The mean of the distribution is 34.1 cm and the standard deviation is 3.4 cm. In the figure, V is a number along the axis and is under the highest part of the curve. And, U and W are numbers along the axis that are each the same distance away from V. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of U, V, and W. Percentage of total area shaded: (Choose one) V 25 30 35 40 45 ( cm)
The director of a medical hospital feels that her surgeons perform fewer operations per year than the national average of 211. She selected a random sample of 15 surgeons and found that the mean number of operations they performed was 208.8. The standard deviation of the sample was 3.8. Is there enough evidence to support the director's feelings at =α0.10? Assume that the population is approximately normally distributed. Use the critical value method and tables.
Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"+ investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 μm and standard deviation 150 µm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. USE SALT (a) What is the probability that the size of a single droplet is less than 1350 μm? At least 975 μm? (Round your answers to four decimal places.) less than 1350 µm at least 975 μm (b) What is the probability that the size of a single droplet is between 975 and 1350 μm? (Round your answer to four decimal places.) (c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest 2% of…

SEE MORE QUESTIONS

Recommended textbooks for you

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

Calculus For The Life Sciences

Calculus

ISBN:

9780321964038

Author:

GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:

Pearson Addison Wesley,

SEE MORE TEXTBOOKS