A consumer products company is formulating a new shampoo and is interested in foam height (inmillimeters). Foam height is approximately normally distributed and has a standard deviation of 20millimeters. The company wishes to test Ho: µ = 175 millimeters versus H1: µ ± 175 millimeters, using theresults of n = 10 samples.%3Dv What is the type I error probability if the acceptance region is 155 < š < 195 ?a. Fail to reject Ho. The 10 samples may not be an appropriate sampb.nshould be lower than 10 samplesv If a = 0.05, would we need to reject the Ho?c. P (155 < x< 195, when µ=156)С.= 0.5628v Find ß for the case in which the true foam height is 156 millimetersd. Reject Hoе. Р(Туре II Error) %3D 0.5Find n if the probability of failing to reject a false null hypothesis is set at 0.05. And that the true foam f.height was found to be really 156 millimetersN 2 14g. P(Type I Error) = 0.00157%3Dh. Probability of committing Type I Error cannot be determined becaugiven

Answered: Image /qna-images/answer/e78768d5-bf80-4cf3-969e-1c2ac2734cb3.jpg

Answered: A consumer products company is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

The average size of a farm in one county is 162 acres with a standard deviation of 38 acres. The average size of a farm in a second county is 180 acres with a standard deviation of 40 acres. Assume the data were obtained from two samples that had 30 farms each. Can it be concluded that the average size of the farms in the two counties is different? (Let α = 0.05)
A random sample of 25 night students was taken with a sample mean GPA of 2.86 and a standard deviation of 0.06. A random sample of 30 day students was taken with a sample mean GPA of 2.88 and a standard deviation of 0.07. Test the claim that the mean GPA of night students (μ) is different from the mean GPA of day students (μD) at a = 0.05. Assume that the data come from normal populations with unequal variances. Round your answers to three decimal places, and round any interim calculations to four decimal places. Fill in the hypotheses below (click the circle to the left of the correct answer): Ho: ên p σ΄ UN Td μD = v pО µÑ¯ Êµ¯Ñ¿© µD Ha: pOād up μι ên # PO μN X d This test is two-tailed. What is the test statistic? HD ên Part 2 of 4
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
A survey found that the average hotel room rate in State I is RM88.22 and the average room in State II is RM80.61. Assume that the data were obtained from two samples of 50 hotels each. The population standard deviations were RM5.62 and RM4.83 respectively. At α = 0.05 , can it be concluded that there is a significant difference in the rates?
Hemoglobin levels in 11-year-old boys vary according to a normal distribution with σ=1.2 g/dL. How large a sample is needed to estimate µ with 95% confidence so the margin of error is no greater than 0.5 g/dL?
The mean pulse rate (beats per minute) of a random sample of 40 males was 67.3 bpm. For a random sampl of 40 females the mean was 77.5 bpm. The population standard deviation for males is 10.3 bpm and 11.6 bpm for females. Using the P-Value method and test the claim that there is a difference in mean pulse rates. Use alpha = 0.03. Step 5: There is enough evidence to reject the claim that there is a difference in pulse rates for males and females. O There is enough evidence to support the claim that there is a difference in pulse rates for males and females. There is not enough evidence to reject the claim that there is a difference in pulse rates for males and females. There is not enough evidence to support the claim that there is a difference in pulse rates for males and females. SAMSUNG 女 & 4 5 7 8 r t y %24
The finished inside diameter of a piston ring is normally distributed with a mean of 10 centimeters and a standard deviation of 0.03 centimeter. If in a couple of years, the mean and the standard deviation of the nished inside diameter of a piston ring change both to dierent values μ and σ, what proportion of rings will have inside diameters exceeding μ + 2.5σ?
Hn. Don't provide handwriting solution
An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or her life. He feels that in the hospital where he works, the average weight loss of a newborn baby is less than 7 ounces. A random sample of 33 newborn babies has a mean weight loss of 6.2 ounces. The population standard deviation is 1.5 ounces. Is there enough evidence at =α0.01 to support his claim? Assume that the variable is normally distributed. Use the P -value method with tables. hello there are five parts to the question it asks to state the hypothessis and identify the claim it asks to compute the test value find the p value and choose the null hypothesis
At a certain high school, every freshman has his or her height The freshman boys have a mean height of 65.2 inches and a standard deviation of 3.2 inches. The freshman girls have a mean height of 63.5 inches and a standard deviation of 2.7 inches. The proportion of of freshman girls has heights between 60 to 65 inches is 0.6133. What is the interpretation of this normal density area? (i) The proportion of freshman having heights between 60 to 65 inches is 0.6133 (ii) The probability that a randomly selected freshman girl have heights between 60 to 65 inches is 0.6133 or 61.33% Oboth (i) and (ii) are correct We can not interpret the given area..
You are studying the velocities of projectiles. Prior experience tells you that standard deviation of velocities is around 9.7 ft/sec. How many independent samples of projectile velocity do you have to measure to estimate the mean velocity within ±±0.98 ft/sec with 92% confidence?
Health Canada wishes to estimate the mean amount of mercury , in parts per million (ppm), in commerical fish. Specifically, they want to estimate the value of μ to within 0.03, and be 95% confident in their results. 0.4 ppm. Assume that the amount of mercury in commerical fish varies from one fish to another, the standard deviation being σ = How many commerical fish should be randomly chosen, each chosen will have the mercury content measured, to satisfy Health Canadas estimation of u? (When values from a distribution, use three decimals.)

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS