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…
The blood pressure (average of systolic and diastolic measurements) of each of 25 randomly selected persons was measured. The average was 97.5 mm Hg, and the standard deviation was 8.05 mm Hg. What is the critical t value? What is the margin of error?
The number of needed repairs while under warranty for a Sure Cut lawnmower has a population distribution as shown in the probability histogram below. The population mean is also given. Population 0.6 - 0.5- 0.4- population mean: u=1.15 0.3- 0.2- Number of repairs Probability
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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.
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