a)Let 3,1,3,0,3,2,2,0, 1, 2 be ten independent observations from a binomial experiment of fourindependent trials each with probability of a success and PMF f(x,B).i) If = 0.35, derive an approximate standard error of B.ii) Compute a 95% confidence interval for B.

Answered: a) Let 3, 1,3,0,3,2,2,0, 1, 2 be ten…

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

Suppose that in a simple random sample of 30 chicken carcasses from the ACME chicken plant (which has 10,000 chickens), 5 test positive for salmonella and 25 test negative for salmonella. Provide a point estimate and 95% CIs for the prevalence of salmonella among chicken carcasses from the ACME plant, assuming the test is 100% accurate. For the confidence interval, use a two-sided interval and report results from both the “exact method” and the “normal-theory method” (large sample approximation), then comment on whether the normal-theory method is reasonable based on comparison with results from the exact method.
Suppose a sample of 9 adult eastern gray squirrels is sampled from 9 various, randomlocations in a large area. The weights of the squirrels (in ounces) is shown below:18 16.3 17.1 17.8 21 14.7 17.2 17.3 18.1a) Find the mean, median, and standard deviation of the squirrel weights in thesample.b) Show that the necessary conditions (Randomization Condition, 10% Condition,Nearly Normal Condition) are satisfied to construct a confidence interval. Brieflyexplain/show how each condition is satisfied.c) Find the 98% confidence interval for squirrel weights in the area. (To show yourwork: Write down which calculator you are using and what values you are enteringinto the calculator.)
Suppose the police are able to take a SRS of cars and find that 12.3% of the cars in their sample have a safety violation with a margin of error of 2% for a 95% confidence interval. What is the confidence interval?
To construct a 95% confidence interval of variance using a sample of 18 the critical values used are __________ and _____________.
On the basis of a random sample the null hypothesisH0 :µ= µ0is tested against the alternativeH1 :µ > µ0and the null hypothesis is not rejected at the 5% significance level.a. Does this necessarily imply that µ0 is contained in the 95% confidence interval for µ?b. Does this necessarily imply that µ0 is contained in the 90% confidence interval for µ if the observed sample mean is larger than µ0?
Suppose a manufacturer of Vaporizer cartridges samples 200 cartridges and measures a failure rate of 1.5% (3 cartridges). Using the Normal approximation to the binomial, construct a 95% confidence interval for the probability of being defective.
A researcher conducts a single-factor design for correlated means using a sample of n=15 subjects to evaluate the differences among five treatment conditions. In performing the ANOVA, the researcher obtained an F-value that falls within the confidence interval. Identify the next step. a. Accept the null hypothesis and conclude that there is no difference between the five treatment conditions. b. Perform the Tukey post-hoc test and conclude that there is no difference between the five treatment conditions. c. Obtain the q-values to determine the direction of the difference between the five treatment conditions. d. None of the above
a sample of 17 college graduates resulted in a mean starting salary of $38,000 and a st. dev. of $1700. Assuming the starting salaries are normally distributed the 99% confidence interval for the mean starting salary of all college graduate is: (), ()
b) Consider a sample of n iid observations that follow a Poisson distribution with unknown parameter lambda. For large n, what is the distribution of(Xn − lamdba)/(lambda/n)^(1/2)? Use this result to construct an approximate two-sided 99%-confidence interval for lamdba when n = 50 and x = 3. Two-sided means that your interval should not have −infinity or infinity as an endpoint. Include a detailed derivation of your confidence interval. Do not use thecalculator (in particular, do not round any values) until the end of the calculation.

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

a) Let 3, 1,3,0,3,2,2,0, 1, 2 be ten independent observations from a binomial experiment of four independent trials each with probability of a success ß and PMF f(x,B). i) If = 0.35, derive an approximate standard error of B. ii) Compute a 95% confidence interval for B.