The sample mean for the fill weights of 100 boxes is 12.050. Thepopulation variance of the fill weights is known to be (0.100)2. Finda 95% confidence interval for the population mean u fill weight ofthe boxes.O a. [12.301, 12.702]O b. [11.830, 11.070]O c. [11.030, 11.070]O d. [12.030, 12.070]

We want to find 95% confidence interval Sample Mean \bar XXˉ = 12.05012.050 Population…

Answered: The sample mean for the fill weights of…

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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We have a random variable Y with unknown mean value. We have obtained a random sample of 10 values of the random variable. The values of the sample are given as: Y = 4, 6, 6, 9, 7, 8, 6, 9, 8, 9. Give the estimate of the mean value of Y.
Q2. (Unit 6) Suppose three samples (10, 15, 20) are drawn from the normal distribution. a) What is the point estimate of the mean? b) What is the point estimate of the variance?
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 3000 grams and a standard deviation of 600 grams while babies born after gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 440 grams. If a 32 week gestation period baby weighs 3225 grams and a 41 week gestation and 41 week gestation period baby weighs 3425 grams find the corresponding z scores which baby weigh more relative to the gestation period
Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees and standard deviation of 1.00degreesC. Assume 2.9% of the thermometers are rejected because they have readings that are too high and another 2.9% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others.
From 1984 to 1985 the mean height of 15 to 18 year old males from Chile was 172.36 cm and the standard deviation was 6.34 cm. Let Y = the height of 15 to 18 year old males in 1984 to 1985 then Y ~ N ( 172.36, 6.34 ) a.) about 68% of the y values lie between what two values ? That z scores are respectively ? b.) about 98% of the y values lie between what two values ? That z scores are ? c.) about 99.7% of the y values lie between what two values ? That z scores are ?
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma.
Find the standard error of the sample mean such that we have 70 random samples with mean 40 and standard deviation of 16.
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 2700 grams and a standard deviation of 340 grams. If a 34-week gestation period baby weighs 2275 grams and a 40-week gestation period baby weighs 2475 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?
Assume that weights of adult females are normally distributed with a mean of 79 kg and a standard deviation of 22 kg. What percentage of individual adult females have weights between 74 kg and 84 kg? If samples of 64 adult females are randomly selected and the mean weight is computed for each sample, what percentage of the sample means are between 74 kg and 84 kg?
There are four numbers in a data set. They are 5, 3, 7, and 11. a) What is the ∑∑ x2x2 b) What is the (∑x)2(∑x)2 c) The formula for the population variance, σ2σ2 is ∑x2−(∑x)2nn∑x2-(∑x)2nn Use parts a and b to help calculate the population variance. d. Now get the population standard deviation.
An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 8 IQ points of the true mean. Assume that σ=10 and determine the required sample size.
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