4. Let's continue with the test data set of Problem 3. The factory's goal remains (as inlectures) that Ho: μ = 10, and based on new test data we wish (again) to find outwhether the machine should be adjusted.10 following the null hypothesis(a) Does the value of the parameter value μ =belong to the 2-sided confidence interval calculated in Problem 3?(b) Create a t-test statisics corresponding to this situation and calculate its value.(c) Calculate the p-value of the test.(d) The factory did not want to adjust the device unnecessarily except at most oncein 100 cases. What significance level corresponds to this if the null hypothesisis "no need to adjust the machine" and adjustment corresponds to the rejectionof the null hypothesis? Would it be necessary to adjust the machine in this case(i.e., to reject the null hypothesis)?

the problem 3 data is missing please provide the data of problem 3 so that i will help u with…

Answered: 4. Let's continue with the test data…

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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8. You extract approximately 5,000 observations from the Labour Force Survey (LFS) and estimate the following regression function: AHE,=3.32 0.45 Age, (1.0) (0.04) where AHE is average hourly earnings in pounds, Age is the individual's age and the standard errors of the estimators are given in parentheses. Given the specification, your 95% confidence interval for the effect of increasing age by 5 years is approximately: A. [£1.96, £2.54] B. [-£2.58, -£1.92] C. [-£2.64, -£1.86] D. none of the above
6.
4
Looking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.
7) You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=66.2Ho:μ=66.2 Ha:μ>66.2Ha:μ>66.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=16n=16 with mean M=81.5M=81.5 and a standard deviation of SD=19.1SD=19.1.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... PICK ONE less than (or equal to) αα greater than αα This test statistic leads to a decision to... PICK ONE reject the null accept the null fail to reject the null As such, the final conclusion is that... PICK ONE There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 66.2. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater…
You wish to test the following claim (Ha) at a significance level of α=0.01. For the context of this problem, μd=PostTest−PreTestμd=PostTest-PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your μ1 and μ2 are so that the differences are computed correctly.) Ho:μd=0 Ha:μd≠0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 41 21.1 26 17.7 56.4 72.5 55 30.3 37.6 37.7 49.8 71.1 30.2 48 23.6 26 49.4 48.4 33.5 25.7 37.6 57.4 44.7 51.2 43.3 63.1 45.4 42 41 40.4 38.8 30.5 39.8 15.1 32 51.1 33.5 16.8 26.8 31.8 45.4 36 41.4 64.3 53.2 46.3 What is the test statistic for this sample?test statistic = (Report answer accurate to 4 decimal…
From this question I have to determine 1) what the independent and dependent variables are 2) state the estimated regression equation (in terms of the problem) using the given output. 3) what the interpretation for the slope of the regression line is 4) using the regression equation, predict the sales for a store with 3.4 million customers in it. Is this extrapolation or interpolation? 5) if I were to compute the 99% confidence interval for the slope of the regression line, what would the t critical value be? 6) the 99% confidence interval for the slope of the regression line in the above problem is? 7) assume that the number of customers increases by 2 million. What will be the range of values for the average increase in annual sales of the store? You may use the confidence interval from above to answer 8) is the corrrelation between number of customers and sales positive or negative? Why? 9) if the sales for a store with 2.2 million customers on it is 3.5 thousand dollars, what…
1. The life expectancy and schooling data for 173 nations relating the response variable y= life ex- pectancy (in years) to the explanatory variable x= mean number of years in school, results in a regression line that is shown below 56.3166+1.7078x The standard error for the slope is 0.1378. Show all steps of a two-sided significance test of independence. (a) List the hypotheses: (ъ) Calculate the test statistic. (c) Estimate the p-value (d) State your conclusion and interpret in context to this problem. 2. Refer to the previous question, find a 95% confidence interval for the true slope for all 6. nations in the world. Does zero fall within this interval? What does that mean in terms of the two variables? Are they independent or dependent?

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