I.Steps in Statistical Hypothesis1. Arandom sample of 100 recorded deaths in the United States during the past year showedan average life span of 71.8 years, with a standard deviation of 8.9 years. Does this seem toindicate that the average life span today is greater than 70 years? Use a 0.05 levelsignificance. (Assuming Normal Distribution)Ho: u = 70, mean life span today is 70.Ha: u > 70, mean life span today is greater than 70 years.a:0.05Tail: ONE TAILED TESTTest Statistic: 2.02df: NONECritical Value/Tabular Value: +1.645Area of Rejection and Acceptance:Computations:Decision:Analysis:

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Answered: 1. Steps in Statistical Hypothesis 1.…

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 shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. According to the Empirical Rule, about what percent of the products last between 0 and 3 days?
Biological oxygen demand (BOD) is a pollution index that is monitored in the treated effluent of paper mills. A certain paper mill has taken 31 samples over the past 3 months. The mean and standard deviation for the sample data are 3.42 and 0.728 ppm respectively. The mill would like to see if this sample indicates that the true average BOD in their treated effluent exceeds the targeted 3.00 ppm. Let ? = 0.05. A) The test statistic, (ttest), for this data set is: Note: Round your answer to the nearest hundredth.B) The p-value is: C) The statistical decision and corresponding English interpretation for this study are: Fail to reject Ha: conclude that the true BOD in treated effluent exceeds 3 ppmFail to reject Ho: we cannot conclude that the true BOD in treated effluent exceeds 3 ppm Reject Ha: we cannot conclude that the true BOD in treated effluent exceeds 3 ppmReject Ho: conclude that the true BOD in treated effluent exceeds 3 ppm
The Urban Development Index (UDI) is a standardized measure used to observe and measure the mental development of infants over time. It is approximately normal with mean 90 and standard deviation 12. What proportion of children has UDI of at least 80? Find the MDI score that corresponds to 99th What proportion of children will have an UDI score of at most 110? What percentage of infants will have an UDI score between 80 and 120?
High density lipoprotein (HDL) in healthy males follows a normal distribution with a mean of 50 and a standard deviation of 8. What proportion of healthy males has HDL exceeding 60?
What happens to the standard deviation if the differences between the mean and data values are small? A SD is large. B SD is small. © SD is undetermined. D SD is zero.
Attenuation is the reduction of the amplitude of a signal, electric current, or other oscillation. With maximum attenuation, a scanner will not be able to read a bar code at a fixed distance. After substantial amount of data collection, a group of instrumentation engineers decided to model a variation of maximum attenuation of scanners as a normal distribution with a mean of 10.1 decibels and standard deviation of 2.7, same unit. What proportion of the products have maximum attenuation greater than 15.1 dB? 0.0718 none of these 0.0322 0.0214
A sample of 50 earthquakes was found to have a sample mean of x ¯ = 1.184 and a sample standard deviation of s = 0.5864. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Find the test statistic and critical value used for this test. Round to three decimal places.
Let X 1 , … , X n be identically and independently distributed with population mean 9.3 and standard deviation 1.400. Let xbar be the sample mean, xbar = 1 n ∑ i = 1 n X i. Suppose n = 14. What is the mean squared error (MSE) of 0.742*xbar as an estimator for the population mean?
Is it more expensive to live in California or Florida? Monthly cost of living expenses for California are approximately Normal with mean μC=$10,800��=$10,800 and standard deviation σC=$3,200��=$3,200. Monthly cost of living expenses for Florida are approximately Normal with mean μF=$8,500��=$8,500 and standard deviation σF=$2,700.��=$2,700. Suppose we select independent SRSs of 16 residents of California and 9 residents of Florida and calculate the sample mean monthly cost of living, x¯C�¯� and x¯F�¯�. a. What is the shape of the sampling distribution of x¯C−x¯F?�¯�−�¯�? Why? b. Find the mean and standard deviation of the sampling distribution of x¯C−x¯F�¯�−�¯�. c. Calculate the probability that the average monthly cost of living expense of the 16 randomly selected California residents is less than the average monthly cost of living expense of the 9 randomly selected Florida residents.
Shouldn't it be n-1 in the standard deviation since we are talking about trials? Question: Replicate water samples are analyzed for water hardness with the following results: 102.2, 102.8, 103.1, and 102.3 ppm CaCO3. Calculate (a) the standard deviation, (b) the relative standard deviation, (c) variance.
2. Traces of toxic, man-made hexachlorohexanes in North Sea sediments were extracted by a known process and by two new procedures, and measured by chromatography. Method Concentration found Conventional Procedure A (pg/g) 34.4 42.9 Standard deviation (pg/g) 3.6 1.2 Number of replications 6 6 a.) Is the standard deviation for procedure A significantly different from that of the conventional procedure at 95% confidence level? b.) Is the mean concentration found by procedure A significantly different from that of the conventional procedure at 95% confidence level?
H0:μ=38.935H0:μ=38.935H1:μ≠38.935H1:μ≠38.935Your sample consists of 31 subjects, with a mean of 38.5 and standard deviation of 4.13.Calculate the test statistic, rounded to 2 decimal places. t=t=

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