a)b)Durbin-Watson test is a procedure which is utilised to check whether the errors ('s) on a timeseries data are positively autocorrelated or not. Briefly explain the three conditions used todetermine the significance of the test. Clearly state the conclusion on each condition.What is meant by saying the least squares estimators are BLUE and under what conditionsare the least squares estimators BLUE?

We have given, (a) Durbin-Watson test is a procedure which is utilized to check whether the errors…

Answered: a) b) Durbin-Watson test is a procedure…

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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Chocolate Chip Cookie Calories The average 1-ounce chocolate chip cookie contains 110 calories. A random sample of 14 different brands of 1- ounce chocolate chip cookies resulted in the following calorie amounts. At the a=0.10 level, is there sufficient evidence that the average calorie content is greater than 110 calories? Assume the population is normally distributed. 100 105 160 110 Send data to Excel Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: 110 claim H₁: 110 not claim This hypothesis test is a one-tailed Correct Answer: Ho: μ = 110 not claim H₁: μ> 110 claim This hypothesis test is a one-tailed test. Part 2 of 5 Correct Answer: (b) Find the critical value(s). Round the answer to three decimal places, if necessary. If there is more than one critical value, separate them with commas. Critical value(s): 2.624) Critical value: 1.350 115 115 150 120 190 120 152 100 135 153 Part: 2 / 5 Part 3 of 5 t = test. (c) Compute the test value. Round the sample statistics…
QUESTION 6 What hypothesis test should be used to test H1: X1 - x2 o O Left tailed, one-sample test of means Right tailed, one-sample test of means Left tailed, one-sample test of proportions Right tailed, one-sample test of proportions Left tailed, one-sample test of variances Right tailed, one-sample test of variances Left tailed, two-sample test of means (independent samples) Right tailed, two-sample test of means (independent samples) Left tailed, two-sample test of means (paired samples) Right tailed, two-sample test of means (paired samples) Left tailed, two-sample test of proportions Right tailed, two-sample test of proportions O Left tailed, two-sample test of variances O Right tailed, two-sample test of variances
The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ? (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ? yet. However, there is a quick way to determine if the sample evidence based on ? is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ? ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of ? in the table gives us the probability of concluding that ? ≠ 0 when, in fact, ? = 0 and there is no population correlation. We have two choices for ?: ? = 0.05 or ? = 0.01.
What is the sample correlation coefficient for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places.
Solve the problem. When performing a hypothesis test for the ratio of two population variances, the upper critical F value is denoted FR. The lower critical F value, FL, can be found as follows: interchange the degrees of freedom, and then take the reciprocal of the resulting F value found in table A-5. FR can be denoted Fa/2 and FL can be denoted F1-a/2 - Find the critical values FL and FR for a two-tailed hypothesis test based on the following values: n₁ = 4, n₂ = 8, a = 0.05 0.1703, 5.8898 0.1112, 5.0453 0.0684. 5.8898 O 0.1211, 4.3541
How do I tell if I have a one-sample t-test or an indepenent-samples t-test in the following situation? I have a group that has received a financial benefit and were chosen to rate their happiness after receiving that benefit. However, all members, those in the sample and those in the total group received the same beneifit. Do I have two groups and need an independent samples t-test or do I have one group measured against the mean?
9
The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ? (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ? yet. However, there is a quick way to determine if the sample evidence based on ? is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ? ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of ? in the table gives us the probability of concluding that ? ≠ 0 when, in fact, ? = 0 and there is no population correlation. We have two choices for ?: ? = 0.05 or ? = 0.01. (a) Look at the data below regarding the variables x = age of a Shetland pony and y = weight of that pony. Is the value of |r| large enough to conclude that weight and age of Shetland ponies are correlated? Use ? = 0.05. (Round your answer for r to four decimal…
The data shown in the table represent the measurements of 10-kΩ resistors (in kΩ) produced from five different machines. A random sample of nine resistors from each machine is taken to determine whether the mean resistance varies from one machine to another. Perform analysis of variance and test the hypothesis at the 0.05 level of significance that the mean resistances differ significantly for the five machines, all through manual computations. Show all complete and systematic solutions.
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, μ , spent by customers at the supermarkets has been reported to be 36 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that μ is greater than 36 minutes. The consultant plans to do a statistical test and collects a random sample of 50 shopping times at the supermarkets. Suppose that the population of shopping times at the supermarkets has a standard deviation of 16 minutes and that the consultant performs her hypothesis test using the 0.05 level of significance.
The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 2 3 64 82 69 47 71 53 54 87 60 35 64 46 50 76 57 2 148.67 108.67 96.67

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