For a sheet-metal stamping machine in a certain factory, the time between failures, X, has a mean time between failure (MTBF) of 56 hours and a variance of 16 hours. The repair time, Y, has a mean time to repair (MTTR) of 5 hours and a variance of 4 hours. If X and Y are independent, find the expected value and the variance of Z = X + Y, which represents one operation-repair cycle.

For a sheet-metal stamping machine in a certain factory, the time between failures, X, has a mean time between failure (MTBF) of 56 hours and a variance of 16 hours. The repair time, Y, has a mean time to repair (MTTR) of 5 hours and a variance of 4 hours. If X and Y are independent, find the expected value and the variance of Z = X + Y, which represents one operation-repair cycle.

Name: nsecticdeion between the proportions of ne two chemicalsthe1nsecticid
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: nsecticdeion between the proportions of ne two chemicalsthe1nsecticides.6.38For a sheet-metal stamping machine in a certain factory, the time between failures, X, has a meantime between failure (MTBF) of 56 hours and a variance of 16 hours. The repa

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Find P(X = 3), P(X = 6), P(X less than or equal to 3),

A: According to our guidelines we are solving only first three sub-parts of given question and rest…

Q: A dietician is researching two new weight gain supplements that have just hit the market: Ripped and…

A: Ripped:Sample size Sample mean Sample variance Gainz:Sample size Sample mean Sample variance…

Q: However, when they showed their data to a statistics professor, the professor pointed out that…

A: The correct tool for this study would be 2-sample mean (matched pairs) test.

Q: A dietician is researching two new weight gain supplements that have just hit the market: Ripped and…

Q: There is a p(x1) = 0.4 probability to observe x1 = 10 and p(x2) = 0.6 probability to observe x2 =…

A: We have given that X 10 5 P(X) 0.4 0.6

Q: Find a 95% confidence interval for the difference in average butterfat production, Wiscon sin…

A: For butterfat production -To construct a 95% confidence interval for the difference of means.For…

Q: Company A claims that the variance of the life of its appliances is less than the variance of the…

A: Company A claims that the variance of the life of its appliances is less than the variance of the…

Q: A student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10…

A: The test is to check whether the variables X and Y are related or not.

Q: Letx represent the average annual salary of college and university professors (in thousands of…

A: It is given that Sample size n = 13 Sample variance s2 = 84.2 Level of significance = 5% Note :…

Q: Let x represent the average annual salary of college and university professors (in thousands of…

A: State the hypotheses

Q: bakery is considering buying one of two gas ovens. The bakery requires that the temperature remain…

A: We have given that Sample sizes n1=15 , n2=24 Variance s12 =3.5 , s22 =4.6

Q: A researcher tests their new treatment for sleep disorder among a sample of 16 individuals who have…

A: That is, there is no evidence to conclude that new treatment will improve their sleep. That is,…

Q: O A. Ho: o? = 0 O B. Ho: o? so3 Hgi o} >o? OC. Ho: o? +o? Hại o? = o3 O D. Hoi o z0 Hgi of F. O B. -…

Q: In order for a new drug to be sold on the market, the variance of the active ingredient in each dose…

A: Given n=12, s2=0.0055, σ2=0.02

Q: A researcher obtains t(20) = 2.00 and MD = 9 for a repeated-measures study. If the researcher…

Q: A researcher wanted to compare that activity of pet dogs living in the city and pet dogs living in…

A: A t-test is a type of inferential statistic used to determine if there is a significant difference…

Q: in a given population for beverage drinkers, an individual's per kg expenditure on tea (7) and their…

A: Given that , T and C are two random variables representing individual per kg expenditure on Tea and…

Q: Why n-1 is used in the denominator for the variance for a normally distributed continuous RV

Q: During the COVID-19 pandemic, drive-up grocery delivery became very popular with customers. Two US…

A: Disclaimer : “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Define the bias of an arbitrary estimator and show that if an estimator is unbiased then the square…

A: Let, T be an arbitrary estimator of parameter θ with expectation E(X), variance V(X) and Mean Square…

Q: A company is doing a hypothesis test on the variation in quality from two suppliers. Both…

Q: Let x represent the average annual salary of college and university professors (in thousands of…

A: using excel we find p value

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

nsecticde
ion between the proportions of ne two chemicals
the
1nsecticides.
6.38
For a sheet-metal stamping machine in a certain factory, the time between failures, X, has a mean
time between failure (MTBF) of 56 hours and a variance of 16 hours. The repair time, Y, has a mean
time to repair (MTTR) of 5 hours and a variance of 4 hours. If X and Y are independent, find the
expected value and the variance of Z = X + Y, which represents one operation-repair cycle.
11

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

The Precision Machining Company makes hand-held tools on an assembly line that produces one product every minute. On one of the products, the critical quality dimension is the diameter (measured in thousandths of an inch) of a hole bored in one of the assemblies. Management wants to detect any shift in the process average diameter from 0.010 in. Management considers the variance in the process to be in control. Historically, the average range has been 0.002 in., regardless of the process average. Design an x-chart to control this process, with a center line at 0.010 in. and the control limits set at three sigmas from the center line. Management provided the results of 80 minutes of output from the production line, as shown in the table below. During these 80 minutes, the process average changed once. All measurements are in thousandths of an inch. Sample data for Precision Machining Company Diameter (thousandths of an inch) Minutes 1- 12 10 11 13 11 12 10 9. 8 11 12 13 - 24 10 11 12 11…
During the COVID-19 pandemic, drive-up grocery delivery became very popular with customers. Two US retailers that provide this service are Target and Walmart. Many shoppers prefer to order from only one store to save time, but they wonder if they are spending more money shopping at one store rather than both. The data file Snacks has the prices for 20 identical snack items sold at both retailers in Mankato, Minnesota. Assume that µd is the mean difference (Target - Walmart) in the price of the items. Using α = .05, determine whether or not the price of these grocery items differed significantly. Perform your analysis using MegaStat. Download: Snacks a. What type of analysis should you use to analyze this data? Explain the reason for your choice. b. State the hypotheses for this analysis. c. Calculate the degrees of freedom for this analysis. d. State the Decision Rule for this analysis. e. Perform the analysis and identify the mean price of the Target items, the mean price of the…
A company is doing a hypothesis test on the variation in quality from two suppliers. Both distributions are normal, and the populations are independent. Use a = 0.05. A sample of 31 products were selected from Supplier 1 and a standard deviation of quality was found to be 3.77. A sample of 16 products were selected from Supplier 2 and a standard deviation of quality was found to be 3.5659. Test to see if the variance in quality for Supplier 1 is larger than Supplier 2. What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: 0.² H₁: 0.² Based on the hypotheses, compute the following: Round answers to at least 4 decimal places. The test statistic is = The p-value is = The decision is to [Fail to reject the null hypothesis The correct summary would be: There is not enough evidence to support the claim in quality for Supplier 1 is larger than Supplier 2. o that the variance
Records from previous years for a casualty insurance company show that its clients average a combined total of 1.9 auto accidents per day, with a variance of 0.31. The actuaries of the company claim that the current variance, oʻ, of the number of accidents per day is not equal to 0.31. A random sample of 17 recent days had a mean of 2 accidents per day with a variance of 0.62. If we assume that the number of accidents per day is approximately normally distributed, is there sufficient evidence to conclude, at the 0.05 level of significance, that the actuaries are correct? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO O20 (c) Find the value of the test statistic. (Round…
A certain IQ test is known to have a population mean of 100 and standard deviation of 15 in the general population. You want to test whether psychology majors have a different average IQ than the population as a whole. Assume the variance of IQ is the same for Psych majors as it is in the general population. Suppose that Psychology majors actually have an average IQ of 108. If you do a 2-tailed test at α= .05 with a sample of 56 Psychology majors, you will be able to reject the null hypothesis if the mean IQ of your sample is below [L] or above [H]. Find L and H values. Options listed below. [L] answer choices: 96.08, 98.00, 103.92, 104.08, 110.00, 111.92. [H] Answer choices: 96.08, 98.00, 103.92, 104.08, 110.00, 111.92.
Psi is a measure of compressive strength, or the ability of the material to carry loads and handle compression. The desired concrete psi rating used for sidewalks and residential driveways ranges from 2500psi to 3000psi obtained from mixing cement, stone, and sand in different ratios but with the same amount of water. The summary of the psi's of three (3) such concrete mixes made by three (3) different civil engineering students is given as follows: Mean vector: The variance-covariance matrix: Concrete mix Mean Concrete mix 1 Concrete mix 2 Concrete mix 3 Concrete mix 1 | Concrete mix 2 2700 18 12 2 3000 12 16 3 2400 Concrete mix 3 16 25 Let the random variable Y be the vector of the psi's of concrete mixes obtained by the students, i.e. Y1, denotes the psi of concrete mix made by student 1, Y2 is the psi of concrete mix made by student 2 and Y3 is the psi of concrete mix psi made by student 3. (a) Find (i) the multivariate probability distribution function (pdf) of Y. (ii) the…
A dietician is researching two new weight gain supplements that have just hit the market: Ripped and Gainz. She wants to determine if there is any difference between the two supplements in the mean amount of weight gained (in kg) by the people who take them. The dietician tracks the total weight gain (in kg) over a year of a random sample of 14 people taking Ripped and a random sample of 12 people taking Gainz. (These samples are chosen independently.) These data are shown in the table. Total weight gains (in kg) Ripped Gainz 14.1, 10.9, 12.1, 5.2, 12.0, 17.1, 9.0, 14.8, 11.2, 6.8, 12.4, 8.5, 12.1, 10.5 Send data to calc... v 7.6, 9.5, 8.6, 10.8, 7.9, 10.0, 8.4, 6.2, 8.6, 10.2, 8.9, 8.2 Send data to Excel Assume that the two populations of weight gains are approximately normally distributed. Can the dietician conclude, at the 0.05 level of significance, that there is a difference between the population mean of the weights gained by people taking Ripped and the population mean of the…
Consider the model (1-B)(1-0.2B)X_t = (1-0.5B)W_t find the forecasts for one, two and three steps ahead and calculate the variance of the one, two, and three steps ahead forecast errors