A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height isapproximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho:µ = 175millimeters versus H:µ > 175 millimeters, using the results of n samples. Find the boundary of the critical region if the type lerrorprobability is a = 0.03 and n = 16.Round your intermediate values to two decimal places. Round your answer to one decimal places (e.g. 98.76).i

Answered: A consumer products company is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A journal published a study of the surface roughness of water pipes. An instrument measured the surface roughness (in micrometers) of 40 sampled sections of coated interior pipe. Let x¯x¯ denote the sample mean. Assume that the surface roughness distribution has a mean of μ=1.65μ=1.65 micrometers and a standard deviation of σ=0.8σ=0.8 micrometers. Find the probability that x¯x¯ exceeds 1.75 micrometers. Select one: a. 0.2148 b. 0.2683 c. 0.3979 d. 0.4356
A series of measurements of the angle of shearing resistance of a sand determined that the parameter had a mean value of 35º, a standard deviation of 3° and that its minimum and maximum values were 28° and 42° respectively. Fit the results to a symmetrical beta distribution.
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To determine if their 1.33 centimeter galvanized pipes are properly adjusted, Fogarty Manufacturing has decided to use an X-Chart which uses the range to estimate the variability in the sample. Answer How to enter your answer Step 3 of 7: What is the Lower Control Limit? Round your answer to three decimal places. 1 ~ 3 Sample Mean Sample Range 1.33 1.3320 1.29 1.38 1.3300 Period obs1 obs2 obs3 obs4 obs5 1.34 1.29 1.35 2 1.35 1.35 3 1.34 1.35 1.36 1.29 1.29 1.31 1.32 1.33 1.34 1.3360 1.35 1.30 1.3340 1.32 1.38 1.3260 1.37 1.33 1.31 1.31 1.29 1.30 1.35 1.31 1,32 1.34 1.38 8 1.35 1.33 1.31 1.34 1.3180 1.33 1.3300 1.34 1.37 1.28 1.36 9 10 1.32 1.37 1.30 1.37 1.29 1.32 1.30 1.28 1.29 11 1.35 1.36 1.38 12 1.36 1.32 1.31 1.30 1.35 13 1.29 1.35 1.32 1.32 1.37 1.35 1.35 1.34 1.32 1.34 14 15 1.32 1.36 1.29 1.32 1.35 45 Table 67 Control Chart 1.35 1.28 Copy Table Average Values The average of the selected cell(s) is 1.340. Copy Value 1.3300 1.3440 1.3080 1.3400 1.3280 1.3300 1.3400 1.3280 0.06…
We collected a sample of twenty-five observations. We assumed that the observations are from a population whose values follow a normal distribution with a mean of u and a standard deviation of five. We performed a test with these hypotheses Ho: μ = 0H₁ = 0 and H₁ : μ0H₁0. The test statistic is the sample mean . The 5% rejection region is 1.959964 > 1.959964. What is the power of this test when μ = -2μ = -2? Please state the statistical power up to the fourth decimal place.
A company claims that the mean monthly residential electricity consumption in a certain region is more than 860 kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of 69 residential customers has a mean monthly consumption of 880 kWh. Assume the population standard deviation is 126 kWh. At α=0.01, can you support the claim? Complete parts (a) through (e). Also find the critical values.
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A company claims that the mean monthly residential electricity consumption in a certain region is more than 860 kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of 66 residential customers has a mean monthly consumption of 900 kWh. Assume the population standard deviation is 123 kWh. At a = 0.10, can you support the claim? Complete parts (a) through (e). B. The critical value is 1.28 Identify the rejection region(s). Select the correct choice below. O A. The rejection regions are z 1.28 OB. The rejection region is z > 1.28 OC. The rejection region is z< 1.28. (c) Find the standardized test statistic. Use technology. The standardized test statistic is z = (Round to two decimal places as needed.)
A fishing line manufacturer tests the breaking stain of his products. He has found that, for a particular ‘line weight’, the maximum breaking stain follows a normal distribution, with a mean of 21.5kg and a standard deviation of 1.5kg. If a line is selected at random, calculate the probability that it has a breaking strain of between 22kg and 23.5kg.
The adult body lengths of deer mice are known to vary approximately Normally, with mean µ = 86 mm and standard deviation o = 8 mm. A researcher uses a random sample of 1 deer mice. What is the probability that the mice's body length is less than 80 mm? (i) Does the random variable represent Хor x? (ii) Draw a Normal density curve. (Label the horizontal axis and shade the area that the question is asking.) (iii) Draw a standard Normal density curve. (Label the horizontal axis and shade the area that the question is asking.)
A population of values has a normal distribution with μ=105.7μ=105.7 and σ=10.3σ=10.3. You intend to draw a random sample of size n=99n=99.What is the mean of the distribution of sample means?μ¯x=μx¯= What is the standard deviation of the distribution of sample means?(Report answer accurate to 2 decimal places.)
A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 924 milligrams. A random sample of 58 breakfast sandwiches has a mean sodium content of 918 milligrams. Assume the population standard deviation is 24 milligrams. At α=0.10, do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e). Also find the critical values.

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