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…
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