A children's goods company is formulating a new diapers filler and is interested in the volume of absorbed liquid (in milliliters). Thevolume of absorbed liquid is approximately normally distributed and has a standard deviation of 74 milliliters. The company wishes totest Ho: μ = 500 ml versus H₁:μ < 500 ml, using the results of n = 18 samples.(a) Find type I error probability if the critical region is < 450.Round your answer to five decimal places (e.g. 98.76543).α =(b) What is the probability of type II error if the true mean volume of absorbed liquid is 460 milliliters?Round your answer to three decimal places (e.g. 98.765).B = 1(c) Find for the true mean of 480 milliliteRound your answer to three decimal places (e.g. 98.765).B = 1

Volume of absorbed liquid is approximately normally distributed with a standard deviation of 74…

Answered: A children's goods 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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The acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of x =5.4 insect fragments per ten-gram portion. (b) What is the mean and standard deviation of the sampling distribution of x assuming μ=5 and σ=Sqrt5? (Round to three decimal places as needed)
As a researcher, you are curious if low income impacts the length of prison sentences for theft. The known average sentence is general population is µ = 12.5 months. You have a random sample of 49 people (N = 49) whose income is below the poverty line. The average sentence for this sample of people was xbar = 16.8 months, with a standard deviation of sx = 4.3. In this case, the critical values for an α (alpha) = .05 are +/- 2.01. A) Please calculate and report the confidence interval for these data, including your level of confidence. Hints: Do not calculate a z/t-statistic. Remember, the interval is centered on a descriptive statistic, such as xbar. The level of confidence is a specific percentage based on alpha; high or low are NOT answers. B) Based on the confidence interval, would you retain or reject the null hypothesis? Explain your reasoning.' C) Would the p-value be bigger or smaller than alpha? D) In everyday language, what do these results tell you about the research…
A medical research team at the university is investigating the effectiveness of a new medical treatment for a rare disease. Data indicates that under the current treatment, patients have a mean white blood cell count of 23 cells/cc (cubic centimeter). This distribution is understood to be normally distributed, but the population standard deviation is not known. The new treatment will only be deemed effective if it significantly increases the patient’s white blood cell count above 23 cells/cc. The team has applied the treatment to a random sample of 10 patients. They have reported the following blood cell counts: 21, 25, 18, 24, 19, 25, 22, 20, 27, 25 At α = .01, is the new treatment effective?
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A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. The company wishes to test the hypothesis Họ : µ = 12 against H1 : µ < 12, using a random sample of 4 specimens. Round your answers to 4 decimal places. (a) What is the type I error probability if the critical region is defined as I < 11.5 kilograms? The type I error probability is (b) Find B for the case where the true mean elongation is 11.24 kilograms. (c) Find B for the case where the true mean is 11.5 kilograms.
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Coke recently hired a consulting firm to see how well their products are doing on the market. In the United States last year, the study found that an average of 5,149 coke products were drank daily with a standard deviation of 252. Recall, pnorm(x, µ, o) = P(Y< x) and qnorm(p, µ, 0) = the pn percentile of the normal distribution that has mean, µ, and standard deviation, O. What is the Z-score of 4,125 cokes products?
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