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
Suppose that the time in minutes it takes a student to complete an assignment is normally distributed with a mean 55 and variance 100 then the 35th percentile of the average time it takes a random sample of 49 students to complete the assignment is closest to О а. 51. O b. 59. О с. 49. O d. 54. О е. 56.
Q1) Find the value of both the sample mean and test statistics
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)
What probability with the average of nine randomly selected individuals from the normally distributed population with a mean of 48 and a variance of 64 is greater than 0.14?
5. Which of the following is/are assumptions in using F-test? А. There is homogeneity among its variance. В. The data are normally distributed. С. The groups are independent of each other. All of the above.
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

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