Consider a random sample from N(u, 0.1082), and the null hypothesis Ho : u = 4.55....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider a random sample from N(u, 0.1082), and the null hypothesis Ho : u = 4.55. Suppose we observed a set of data with n = 9, = 4.484. 1. Let H1 : µ + 4.55, the p-value of the observed = 4.484 is (Please round to 2 significant figures.) 2. Let H1 : u < 4.55, the p-value of the observed a 4.484 is (Please round to 2 significant figures.) Consider a normal random sample from population N (u, o?), where o2 is assumed to be known. Consider the following hypotheses: Hρ : μ. μο υ. s. Η1 : μ-μι μο Let the rejection region be { : < Ho - Zao/Vn},then the type-ll error is β= P(X >μο- 2α/νη | μ = μ). 1. For a fixed sample size n, when a decreases, B will (Type in "O" if you think it will decrease, and "1" if you think it will increase.) 2. For a fixed sample size n, when Bincreases, a will (Type in "O" if you think it will decrease, and "1" if you think it will increase.) 3. Let σ- 0.12, μι = lo – 0.03, a minimum number of samples are needed if we want to ensure that a < 0.025, B < 0.025. (Hint: round UP to the nearest integer.) Consider a random sample from N(u, 0.1082), and the null hypothesis Ho : u = 4.55. Suppose we observed a set of data with n = 9, = 4.484. 1. Let H1 : µ + 4.55, the p-value of the observed = 4.484 is (Please round to 2 significant figures.) 2. Let H1 : u < 4.55, the p-value of the observed a 4.484 is (Please round to 2 significant figures.) Consider a normal random sample from population N (u, o?), where o2 is assumed to be known. Consider the following hypotheses: Hρ : μ. μο υ. s. Η1 : μ-μι μο Let the rejection region be { : < Ho - Zao/Vn},then the type-ll error is β= P(X >μο- 2α/νη | μ = μ). 1. For a fixed sample size n, when a decreases, B will (Type in "O" if you think it will decrease, and "1" if you think it will increase.) 2. For a fixed sample size n, when Bincreases, a will (Type in "O" if you think it will decrease, and "1" if you think it will increase.) 3. Let σ- 0.12, μι = lo – 0.03, a minimum number of samples are needed if we want to ensure that a < 0.025, B < 0.025. (Hint: round UP to the nearest integer.)
Expert Answer:
Related Book For
Probability and Statistics for Engineering and the Sciences
ISBN: 978-1305251809
9th edition
Authors: Jay L. Devore
Posted Date:
Students also viewed these mathematics questions
-
Sample data have been collected, and the null hypothesis to be tested is, H0: The sample was drawn from a normal population. If the analysis is based on a categorization that includes 5 cells: a. How...
-
Sample data have been collected, and the null hypothesis to be tested is H0: The sample was drawn from a normal population in which = 130. If the analysis is based on a categorization that includes...
-
Suppose you are given the following set of data with three Boolean input variables a, b, and c, and a single Boolean output variable K. a bc K 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 01 For parts (a) and (b),...
-
What are the four key building blocks of financial statement analysis? a. Liquidity and efficiency, solvency, profitability, and market b. Liquidity and efficiency, solvency, profitability, and...
-
We first note how the polynomial in the previous exercise can be written in the nested multiplication method: 8 + x(-10 + x{l + x(-2 + x(3 + 12x)))). Using this representation, the following...
-
Find an equation for graph. 2 3 -2- 4)
-
An investment is guaranteed to have a unique value of IRR if which of the following is true? a. Alternating positive and negative cash flows b. An initial negative cash flow followed by all positive...
-
Rob Carltons golf camp estimates the following workforce requirements for its services over the next two years. Each certified instructor puts in 480 hours per quarter regular time and can work...
-
Rene and Fred work in the same department. They must work together to complete a report on the last day of each month. Rene is working in her cubicle when Fred walks up and starts a conversation. If...
-
Anita Vasquez received $190,000 from her mother's estate. She placed the funds into the hands of a broker, who purchased the following securities on Anita's behalf: a. Common stock was purchased at a...
-
Brandon, a single taxpayer, had a loss of $48,000 from a rental real estate activity in which he actively participated. He also had $27,000 of income from another rental real estate activity in which...
-
a) "Termination by addition. This is where a project is made more or less an external, but full-fledged addition to the parent organization. For example, a new department of a business would be built...
-
For her grandfather's birthday, Valeria is baking cupcakes. With every egg she can find, she can bake 6 cupcakes. Write an equation that shows how the total number of cupcakes Valeria can bake, y,...
-
For this Team Project, you'll work with the same team of two or three people as for your Team Contract, unless otherwise directed. While your responses should be informed by your readings and...
-
If F(x) = f(g(x)), where f(-5)=7, f'(-5)= 8, f'(1) = 4, g(1) = -5, and g'(1) = 5, find F'(1). F'(1) = Need Help? Read It Watch It
-
A new sandwich chain from UK is planning to expand its market to China. (a) Discuss TWO entry mode options which are realistic given the product (15 marks) type and the target country suggested. (b)...
-
Tell me about a challenging experience you've had and how you overcame it.
-
For the following exercises, rewrite the sum as a product of two functions or the product as a sum of two functions. Give your answer in terms of sines and cosines. Then evaluate the final answer...
-
Vehicle speed on a particular bridge in China can be modeled as normally distributed ("Fatigue Reliability Assessment for LongSpan Bridges under Combined Dynamic Loads from Winds and Vehicles," J. of...
-
Reconsider the situation of Exercise 73, in which x = retained austenite content using a garnet abrasive and y = abrasive wear loss were related via the simple linear regression model Y =...
-
a. Could a linear regression result in residuals 23, -27, 5, 17, -8, 9, and 15? Why or why not? b. Could a linear regression result in residuals 23, -27, 5, 17, -8, -12, and 2 corresponding to x...
-
Write a program in \(\mathrm{R}\) that generates \(b\) samples of size \(n\) from a specified distribution \(F\). For each sample compute the statistic \(Z_{n}=n^{1 / 2}...
-
Write a program in \(\mathrm{R}\) that generates \(b\) samples of size \(n\) from a \(\mathbf{N}\left(\mathbf{0}, \boldsymbol{\Sigma}_{n}ight)\) distribution where...
-
Using a probability theory argument, show that the sum of all elements of any covariance matrix is non-negative.
Study smarter with the SolutionInn App