=Suppose X is normally distributed with a mean of u 10 and a variance of o² = 9. Furthersuppose that a random sample of n = 50 has been taken from this population. Which of thefollowing statements is/are true about the distribution of the associated sample mean, X?Select one or more:U a. The distribution of X will be Normalb. The distribution of X will have a variance of 3□ c.The distribution of X will have a variance of greater than 9The distribution of X will have a variance ofg50O d.O.e. The distribution of X will be unknownOf.Og.9The distribution of X will have a standard deviation of509The distribution of X will have a standard deviation of√50

Given information is, X is normally distributed with the mean µ = 10 and the variance σ2 = 9…

Answered: Suppose X is normally distributed with…

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 a batch of steel rods produced at a steel plant have a mean length of 187 milimeters, and a Variance of 64. If 416 rods are sampled at random from the batch, what is the probability that the mean length all the sample rods would differ from the population mean by less than 0.65 millimeters? Round your answer to four decimal places.
2. Suppose it is claimed that amongst the population of STM1001 students, the number of items bought online in the past year is normally distributed with a mean of u 20 and variance of o2 = 25. Further suppose that we wish to study the mean of the population by taking a random sample of n = 61 STM1001 students. Using this information, write down the distribution of the sample mean, X. Note: In each box, enter a single number rounded to four decimal places where relevant. (2 marks) X~ N( 20 0.4098 2 4. Again following on from the previous question, what is the probability that when we take a random sample of n = 61 STM1001 students, the sample mean would be either greater than 20.3521 or less than 19.6479? [int. orty will b own that
1. Of all customers purchasing automatic garage-door openers, 57% purchase a chain-driven model. Let X = the number among the next 15 purchasers who select the chain-driven model. a. Calculate P(X > 10). b. Calculate P(8
A yogurt producer claims the variance on their yogurt containers is 4 grams or less . A sample of 30 containers had a sample variance of 9 grams. We want to test if the variance is greater than 4 (a=0.05) The correct alternative hypothesis to test the producer claim is : Select one: O a. HA :02 s4 O b. HA :02 > 16 29 O C. HA :02 > 4 36 O d. Ho :02 > 2 Finis e Next page
Write complete and legibly.
Suppose a data set from a bike share company contains the number of daily bike rentals at each of 6 stations for the 23 weekdays of a particular month, i.e. we have Yij for i = 1, ..., 23 and j 1,...6. Write down a hierarchical normal model that can be used to estimate the mean number of bike rentals at each station. You can assume that the unknown variance o? of the number of bike rentals is the same for each station.
5. The variance on 17 bags of apples is found to be 5.5. The company that bags the apples claims that the standard deviation of its apples is 2. Test their claim. Use a = 0.05
There are two samples. Sample 1 has n=10 and a sample variance of 4. Sample 2 has n=8 and a sample variance of 9. Calculate the standard error of the difference between the two sample means (to 2 decimal points). Assume that the variances in the two populations that produced the samples are equal.
Fresh Mart QQ's profit on each delivery is estimated by RM P, where the random variable P has mean u and variance 1.92. According to previous record, the value of u used to be 0.85. Manager suspects that this value has increased. In order to test at the 5% significance level whether the value of u has increased, a random sample of 50 delivery transaction is chosen. Assume the variance of P is unchanged. Given that Ep 59. Find the unbiased estimates of the population mean. Stating the null and alternative hypotheses, test at 5% significance level on whether the manager's suspicion is true. The alternative hypothesis for a test is stated as below: H:µ # 30 State the null hypothesis and determine whether this test is one-tail test or two- tail test hypothesis.
1. Six batteries taken at random from a large lot were subjected to life tests with the following results: 19, 22, 18, 16, 25, and 20 hours. Find the probability that the sample mean of x= 20 hours, as observed here, or one less than 20 hours could arise if the true mean of the lot of batteries is 21.5 hours, assuming a known variance of o = 10 hours, for the individual batteries in the lot. %3D
Suppose that we have disjoint normal populations A and B with equal population variances. Suppose we plan a sample of size 4 from from population A and a sample of size 9 from population B which we will pool to form the pooled variance. If you know the population variances are both in fact equal to 6, what is the probability that the pooled variance of the two samples will turn out to be less than 8 given your information? .8 .2 .82 .18 NONE OF THE OTHERS
An experiment where a patient's blood pressure is measured before a treatment (call it X;) and after the treatment (call it Y;). The difference in the blood pressue of each patient, Z; = Y; – X; is also recorded. The sample size n of patients is large. Suppose the true population mean of the patient's blood pressure before treatment is 41 and after treatment is 42, both unknown. Suppose the true population variance of the patient's blood pressue before and after treatment are the same, but unknown. Find an approximate 1-a confidence interval for 12 - 41- 2.

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