3. Suppose you are testingHo: p= 49 versus H₁: 49The sample is small (n = 17) and the data come from a normal population.The variance, o², is unknown.(a) Should you use z or t when finding a critical region for this scenario?(b) Find the critical value(s) corresponding to a = 0.06.(c) State the critical region.(d) You find that the test statistic value is 2.173. Based on your critical region, whatdecision do you make regarding the null hypothesis (i.e. do you Reject Ho or Do NotReject Ho)?(e) State your conclusion.

Let us consider the sample taken randomly It is given that population variance is unknown. Since…

Answered: 3. Suppose you are testing Ho: 49 vers…

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

Similar questions

1. A cement manufacturer claims that concrete prepared from his product has a relatively stable compressive strength and that the strength measured in kilograms per square centimeter (kg/cm2) lies within a range of 40 kg/cm2. A sample of n = 10 measurements produced a mean and variance equal to, respectively 312 and 195. Do these data present sufficient evidence to reject the manufacturer’s claim? [α = 0.05]
(c) In an experiment, the weight of the subatomic particles was measured repeatedly, producing the following values: 45, 47, 43, 54, 38, 45 and 58 mg. By using the statistical method, report the best estimated value of weight of the particles within uncertainty (+1 standard deviation). Where E(wavg-w1) the uncertainty in weight is ow and standard deviation, w = N is the number N-1 of trials.
You wish to test Ho: M₁ = μ₂ versus Ha:μ₁ < μµ₂ at a = 0.01. You obtain a sample of size n₁ = 12 = with a mean of 1 82.7 and a standard deviation of $1 sample of size n₂ = 9 with a mean of 2 = 84.9 and a standard deviation of $2 population. Assume that the populations are normal with equal variances. 14.2 from the first population. You obtain a = © 20.1 from the second Do not round interim calculations. Round your final answers to three decimal places. (a). Find the test statistic: (b). Using your answer from (a), find the p-value: = (c). You Select an answer the null hypothesis. (d). There is Select an answer evidence to conclude the first population mean is less than the second population mean
I want to know the answer and detail step by step
For a random sample X1, X2, ..., X, following an Exponential(rate = 1/μ) distribution, we have seen that the large sample distribution of the sample mean X follows a Normal distribution with mean parameter µ and the variance parameter μ²/n. Suppose that we have a sample of size n = 25 from an exponential population with mean μ and we want to test n Hoμ = 2 v/s Hд μ # 2. Use the large sample distribution of ☑ to compute an approximate p-value for the test if we observe x = 2.6 and state the conclusion of your test at the 5% level of significance.
3.7. Consider the performance function Y = 3x1-2x2 where Xi and X2 are both normally distributed random variables with Ax' = 16.6 0% 2.45 μΧ2 = 18.8 ơx.-2.83 The two variables are correlated, and the covariance is equal to 2.0. Determine the probability of failure if failure is defined as the state when Y 0 3.8. The resistance (or capacity) R of a member is to be modeled using R = R,MPF where Rn is the nominal value of the capacity determined using code procedures and M, P, and Fare random variables that account for various uncertainties in the capacity. If M, P, and F are all lognormal random variables, determine the mean and variance of R in terms of the means and variances of M, P, and F.
A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.34. A dietician is asked to test this claim and finds that a random sample of 16 servings has a variance of 1.22. At α=0.05, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. Complete parts (a) through (e) below.
6. Show that 1 s2 E1(Xi – x)² is unbiased estimator of the population variance o? i=1 п-1
Test the claim about the difference between two population means mu 1μ1 and mu 2μ2 at the level of significance alphaα. Assume the samples are random and independent, and the populations are normally distributed. Claim: mu 1μ1equals=mu 2μ2; alphaαequals=0.01 Population statistics: sigma 1σ1equals=3.3, sigma 2σ2equals=1.5 Sample statistics: x overbar 1x1equals=17, n1equals=29, x overbar 2x2equals=19, n2equals=28 Determine the alternative hypothesis. Upper H Subscript aHa: mu 1μ1 ▼ not equals≠ greater than or equals≥ less than or equals≤ greater than> less than< mu 2μ2 Determine the standardized test statistic. zequals=nothing (Round to two decimal places as needed.) Determine the P-value. P-valueequals=nothing (Round to three decimal places as needed.) What is the proper decision? A. Reject Upper H 0H0. There is enough evidence at the 1% level of significance to reject the claim. B. Fail to reject Upper H 0H0. There is not…
answer the following question number 3 with all parts
2.STATISTICAL INFERENCE
I need help with parts a and b

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS