c) A company is interested in estimating the maximum weight that a certain machine canhandle safely. The weight capacity of this type of machine is normally distributed, and thestandard deviation is known to be 50 pounds. The company takes a random sample of 15machines and finds that the sample mean weight capacity is 1000 pounds. Construct a 95%upper confidence bound on the maximum weight this machine can handle.H<. 2) Estimating the Mean: Known Variancea) A student is working on his science fair project concerning the average height of a certainnative plant. He believes the heights are normally distributed with o = 1.2 cm. He finds 25mature plants and measures their heights, and determines the average height to be 10.2 cm.Construct a 96% confidence interval on the mean height of the plants.<μ<.b) A sports team is interested in estimated the time required to complete a certain obstaclecourse. The standard deviation in completion time is known to be 4 s. 30 athletes go throughthe course; the average completion time is 52 s. Construct a 90% lower confidence bound onthe average completion time of this obstacle course.μ>

a) The population standard deviation σ=1.2 The sample size n=25 The sample mean x¯=10.2 The…

Answered: 2) Estimating the Mean: Known Variance…

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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Ex. Derive the MLE for a random sample from Exp(A) distribution that is subject to left truncation and right-censoring (LTRC); be sure to provide its variance estimate as well. Compare to the case where there is only right-censoring that we derived in the lecture notes earlier.
A group of adult males has foot lengths with a mean of 26.79 cm and a standard deviation of 1.27 cm. Use the range rule of thumb for identifying significant identify the limits separating values that are significantly low or significantly highIs the adult male foot length of 29.7 cm significantly low or significantly highExplain A random sample of 10 subjects have weights with a standard deviation of 14.0120 kgWhat is the variance of their weights? Be sure to include the appropriate u with the result The variance of the sample data is
The data used in the creation of the frequency table given below have been chosen to represent a continuous random variation by random sampling method. The random variable X represents the daily usage hours of tractors of a certain brand and engine power used in the agricultural sector. grp range grp limits grp midpoint Frequency 1-3 4 - 6 11th 7-9 14 10 - 12 13 - 15 16 - 18 a) Calculate the mean, median, mode, and variance values for the data using the table. 3,
If a Type I error is made, what conclusion will be drawn regarding the mean breaking strength?
Suppose X,,X,,...,X, is a random samples from normal distribution with mean, µand variance, n ΣΧ Let Y,, Y2,., Y, be an independent chi square distribution, each with 1 i=1 1 and X= degree of freedom. State the distribution and parameter(s) of each of the following random variables. a) J= \n(X – u)
pls. answer using 7 steps:-Parameter of interest-Null hypothesisAlternative hypothesis -Test statistic -Reject H0 if: -Computations: -Conclusion
a=1 b=8 c=6 d=0
Q3: From the below Table, answer the following questions: NO Age Gender Salary 1001 20 1002 1003 22 30 1004 25 1005 34 1006 35 1007 38 1008 35 1009 30 M F F M F M F M 280 300 450 310 320 340 350 500 450 1)Trimmed mean 5% of age variable= 2) Interquartile Range of salary variable = 3) Variance of age variable = 4) Mean of salary variable = 5) represent the Gender variable by pie chart, showing the frequencies on it.
Paramesan cheese is aged for an average of 24 months to allow it to develop the desire richness in flavor the standard deviation for the length of time Parmesan cheese is aged is 3.7 months How long would Parmesan cheese have to be aged in order to be in the 90th percentile? Assume that the data is normally distributed
The average length of time for students to register in the second semester at a certain university has been 55 minutes. A new registration procedure is being tested. If random samples of 16 students have an average of 50 minutes with standard deviation of 12 minutes under system, can you conclude that the new system is faster than the old one? Assume that the average length of time is normally distributed. Use ά = 0.05.
Calcium is essential to tree growth. In 1990, the concentration of calcium in precipitation in a certain area was 0.11milligrams per liter (mg/L).A random sample of 10 precipitation dates in 2018 results in the following data table. Complete parts (a) through (c) below. (B) With 98% confidence, the mean concentration of calcium in precipitation in this area in 2018 is between
The tensile strengths of two types of materials were investigated by collecting 16 samples of each material (totally 32 samples).The sample mean for material 1 was 423.08 (psi), and for material 2 was 424.7 (psi). The samplestandard deviation of the difference in tensile strengths was sD = 2.8 (psi). Is there sufficientevidence to conclude that two types of materials have the same tensile strength? Formulate andtest the appropriate null H0 and alternative hypotheses H1 to verify the claim at level α = 0.01

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