A company that manufactures steel wires guarantees that the mean breaking strength (in (mathrm{kN}) ) of the

Question:

A company that manufactures steel wires guarantees that the mean breaking strength (in $\mathrm{kN}$ ) of the wires is greater than 50 . They measure the strengths for a sample of wires and test $H_{0}: \mu \leq 50$ versus $H_{1}: \mu>50$.

a. If a type I error is made, what conclusion will be drawn regarding the mean breaking strength?

b. If a type II error is made, what conclusion will be drawn regarding the mean breaking strength?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Statistics For Engineers And Scientists

ISBN: 9780073107677

6th Edition

Authors: William Navidi

See More Books

Question Posted: Feb 04, 2024 05:00 AM

See More Questions

In a sample of 100 steel wires the average breaking strength is 50 kN, with a standard deviation of 2 kN. a. Find a 95% confidence interval for the mean breaking strength of this type of wire. b....
A shipment of steel bars will be accepted if the mean breaking strength of a random sample of 10 steel bars is greater than 250 pounds per square inch. In the past, the breaking strength of such bars...
Washers used in a certain application are supposed to have a thickness of 2 millimeters. A quality control engineer measures the thicknesses for a sample of washers and tests $H_{0}: \mu=2$ versus...
Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum Die 1 1 2 3 4 5 56 6 1 (1,1) (2,1) (3,1) (4,1) (5,1) (6,1) One can roll a sum of 9 in Die 2 2 3 4 5 (1,2)...
A large reservoir at 600 K supplies air flow through a converging-diverging nozzle with a throat area of 2 cm2, A normal shock wave forms at a section of area 6 cm2. Just downstream of this shock,...
Receive dividends on stocks held as a short-term investment. The dividends were declared and paid on the same day.
11. In the absence of an explicit formula, we can estimate the change in the option price due to a change in an inputsuch as by computing the following for a small value of : Vega = BSCall(S, K, + ,...
Next year's sales for Cumberland Mfg. are expected to be $22 million. Current sales are $18 million, based on current assets of $5 million and fixed assets of $5 million. The firm's net profit margin...
you want to achieve an expected annual return of 12% by investing in a risky fund that generates 20% per year and the rest of your budget in t-bill that generate 5% per year. What proportion of your...
Imagine that you have extracted an unmyelinated neuron and have placed it in a sterile petri dish filled with a solution mimicking its natural extracellular envirnoment. you artificially stimulate...
Let $\mu$ denote the mean yield strength of a certain type of steel bar, in units of $\mathrm{mPa}$. A test will be made of $H_{0}: \mu \leq 250$ versus $H_{1}: \mu>250$. Three rejection...
Refer to the data set tunnel.csv. Can you conclude that the proportion of times that the speed is greater than 50 m m / m i n 50 m m / m i n varies with the type of soil? Tunnel Data Set: A tunnel...
Indicate the effect-understated (U), overstated (O), or no effect (NE)-that each of the following errors has on 2016 net income and 2017 net income: e , 2016. 2016 Wages payable were not recorded at...
1. Gluteus maximus muscle and mention the structures covered by it.
2. External features and relations of Kidney.
3. Features of Synovial joint and its classification.
1. Name the paranasal air sinuses.
2. Name the ventricles of Brain.
Give a simple description of each of the following sets. a) b) c) d) e) f) U x 2, x +11 re(o,1 xelo,11 ult) KEN -i k+1 kEN
What steps must a business take to implement a program of social responsibility?
There are 30 restaurants in a certain town. Assume that four of them have health code violations. A health inspector chooses 10 restaurants at random to visit. a. What is the probability that two of...
Radioactive mass 1 emits particles at a mean rate of Î» 1 per second, and radioactive mass 2 emits particles at a mean rate of Î» 2 per second. Mass 1 is selected with...
Chebyshevs inequality states that for any random variable X with mean and variance 2 , and for any positive number k, P(|X | k) 1/k 2 . Let X N(, 2 ). Compute P(|X | k) for the values k = 1,...
Jenny wanted to donate to her alma mater to set up a fund for student scholarships. If she would like to fund an annual scholarship in the amount of $6,000 and her donation can earn 5% interest per...
You would like to have a balance of $600,000 at the end of 15 years from monthly savings of $900. If your returns are compounded monthly, what is the APR you need to meet your goal?
Explain the importance of covariance and correlation between assets and understanding the expected value, variance, and standard deviation of a random variable and of returns on a portfolio.

A company that manufactures steel wires guarantees that the mean breaking strength (in (mathrm{kN}) ) of the

Question:

Step by Step Answer:

A type I error occurs when we reject the null hypothesis H0 when it is true w...View the full answer

Statistics For Engineers And Scientists

Students also viewed these Business questions