Q4.Identify the incorrect statement below:The estimator, X from a random sample of XA. Is the mean of the population of X.B. Is an unbiased estimator of the population mean.C. Has an expected value equal to the mean of X.D. Is a random variable with a variance smaller than the variance of X.O A. AОВ. ВС. СO D. D

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Answered: Q4. Identify the incorrect statement…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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
Answer both parts of number 2
The results of a state mathematics test for random samples of students taught by two different teachers at the same school are shown below. Can you conclude there is a difference in the mean mathematics test scores for the students of the two teachers? Use α = 0.01. In addition, assume the populations are normally distributed and the population variances/standard deviations are not equal. Teacher 1 Teacher 2 ?̅1 = 473 ?̅2 = 459 S1 = 39.7 S2 = 24.5 n 1 = 8 n 2 = 18 a. State the null and alternate hypotheses (write it mathematically) and write your claim. b. Find the test statistic c. Identify the Rejection region (critical region) and fail to reject region. Show this by drawing a curve and…
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
Q9. The following C.I.s were obtained for mean of the same population: [16, 23] and [14.9, 24.1]. Identify the correct row in the Table below: No. of Sample Level of Samples size confidence А. 2 Same same В. 1 Different same С. 1 Same different D. 2 Same different Ο Α. Α ОВ. В С. С O D. D
24)
Q1// Choose the correct answer with all explanations 1. The standard deviation of binomial distribution is a. Vnpq b. npq c. np?q с. d. np 2. For two correlated variables x and y, if coefficient of correlation between x and y is 0.8014, variance of x and y are 16 and 25 respectively. Then the covariance between x and y is: a. 162.08 b. 16.028 c. 160.28 d. 16.208 3. In how many ways can we sort the letters of the word MANAGEMENT so that the comparative position of vowels and consonants remains the same as in MANAGEMENT? а. 1280 b. 720 с. 960 d. 1080 4. The normal distribution depends on which of the following? a. Mean and standard deviation b. Sample size and probability of success c. Standard deviation and number of success d. Mean and probability of success 5. The successful life of product, the time, the weight and the height are classified as: a. Continuous random variables b. Discrete random variables c. Continuous waiting time variables d. Continuous hyper geometric variables.
Find the standardized test statistic, z to test the claim that p, = p2. The sample statistics listed below are from independent samples. n1 = 50, x1 = 35, and n2 = 60, x2 = 40 ... О А. 1.328 В. 2.361 С. О.374 O D. 0.982
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
Let Y1,Y2,...Yn be a random sample from a normal distribution where the mean is 2 and the variance is 4. how large must in order that P(1.9≤Y≤2.1)≥0.99?

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