EBK BUSINESS STATISTICS
7th Edition
ISBN: 9780134462783
Author: STEPHAN
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Problem 10.4. We continue with the situation in Problem 8.8. Assume
that the two sample sizes are nį = 19 and n2 = 12 and the two sample
variances are s = 0.81 and s = 0.49. Is there enough evidence that fam-
ilies from culled populations have a lower bunching intensity than families
from non-culled populations? Use a test of hypothesis at level a = 0.005.
Suppose that the two populations are normally distributed with equal vari-
%3D
ances.
Problem 5.2.: The daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%?
Please Refer to Problem 5.2.:
Question: The decision rule to be used at α=5% is: “Reject Ho of tc > ttab = 66, otherwise fail to reject Ho.”
Problem 1.
Consider a battery with a completely unknown voltage (Po = c0). Two independent
measurements of the voltage are taken to estimate the voltage, the first with a variance of 4,
and the second with a variance of 1.
a. Write the weighted least squares voltage estimate in terms of the two measurements z1 and
2.
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- 1.Consider the following two simple regression models : Model I : Y, = B, + B,X, + µ; : Y, = a, +a, (X, - )+v, Model II (1) What is the estimator for B1? What is the estimator for a1? Are they the same to each other? Do they have the same variance? (2) What is the estimator for B2? What is the estimator for a2? Are they the same to each other? Do they have the same variance?arrow_forwardConsider the following scenario for Questions 6 through 9: The City of Bellmore’s police chief believes that maintenance costs on high-mileage police vehicles are much higher than those costs for low-mileage vehicles. If high-mileage vehicles are costing too much, it may be more economical to purchase more vehicles. An analyst in the department regresses yearly maintenance costs (Y) for a sample of 200 police vehicles on each vehicle’s total mileage for the year (X). The regression equation finds: Y = $50 + .030X with a r2 of .90 What is the IV? What is the DV? If the mileage increases by one mile, what is the predicted increase in maintenance costs? If a vehicle’s mileage for the year is 50,000, what is its predicted maintenance costs? What does an r2 of .90 tell us? Is this a strong or weak correlation? How can you tell?arrow_forwardThis problem is based on problems 18.1, 18.2, 18.9, & 18.10 from Lomax & Hahs-Vaughn, 3rd ed.You are given the following data, where X1X1 (GRE total score) and X2X2 (undergraduate GPA) are used to predict YY (graduate GPA): YY X1X1 X2X2 3.3 115 2.7 4 130 2.6 3.2 125 2.8 3.1 90 2.8 3.2 135 3.5 3.8 125 3.6 3.2 105 3.1 3.6 110 3.5 Determine the following multiple regression values.Report intercept and slopes for regression equation accurate to 3 decimal places: Intercept: a=a= Partial slope X1X1: b1=b1= Partial slope X2X2: b2=b2= Report sum of squares accurate to 3 decimal places: SSreg=SSreg= SSres=SSres= Test the significance of the overall regression model (report F-ratio accurate to 3 decimal places and P-value accurate to 4 decimal places): F-ratio = P-value = Report the variance of the residuals accurate to 3 decimal places: MSres=MSres= Report the standard error of the partial slope estimate for undergraduate GPA along…arrow_forward
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