Examine at 5% LOS whether the two population have (Given that Fo.os(8, 6) = 4.15) 4 (1) 0 (4) 4 the same variance. 256
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- The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.6 and 5.3, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? You may need to use the appropriate technology to answer this question. Use a = 0.10. State the null and alternative hypotheses. Ho: 0, + 0,2 2 02 2 %D 2 Hoi 01 2 02 2 Ha: 01 2 > 02 Ho: 01 2 > 02 2 2 Ha: 02 2 2 Ho: 01 02 Ha: 01 + 02 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places. Remember: When using WebAssign technology to find p-values, use the entire test statistic (not the rounded answer from the previous question.)) p-value %3D State your conclusion. Reject Ho. We can conclude that there is a difference between the population variances. Reject Ho. We cannot…The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.01. Weight, x 5920 5370 6500 5100 5890 4800 Variability in 1.76 1.91 1.50 braking distance, y EEE Click here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Ho: P Ha: P 0 0 1.86 1.62 1.67 MTwo coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for 20 commutes. The first worker's times have a variance of 12.2. The second worker's times have a variance of 16.9. The first worker thinks that he is more consistent with his commute times and that his commute time is shorter. Test the claim at the 10% level.What is the F statistic? (Round your answer to two decimal places.)
- A stereo manufacturer claims his top-of-the-line turntable has an average lifespan of more than 15 years. When asked to provide evidence that supports this claim, he obtains from his files the names of 15 customers who have purchased this high quality turntable and asks each how long their turntables ran before needing replacement. From these 15 measurements he computes and average lifespan of 17 years with a variance of 4 years. The correct alternative hypothesis is: O A. The average lifespan of turntable is 15 years. B. The average lifespan of turntable is at least 15 years. O C. The average lifespan of turntable is more than 15 years. O D. None of the preceding1. In the experiment of A and B consumers, 20 sample points are set for A consumers, and t he average value of word-of-mouth is 10.1 with a variance of 2.2; 19 sample points are set for B consumers, and the average value of word-of-mouth is 10.9 with a variance of 2.7. Co mpare whether there is significant difference between the average word-of-mouth of A and B consumers. (a=0.05) (10')Suppose that weights of college mathematics textbooks in the United States are normally distributed with mean µ = 2.25 lbs and variance σ2 = 0.2025 lbs. Find the weight that corresponds to Q3 and interpret this measure of position in the context of the problem.
- Consider two inbred lines of guava trees, G1 and G2, grown on the same farm. The average diameter of G1 guavas is 6 cm, with a variance of 1.5 cm2, while the average diameter of G2 guavas is 8 cm. , with a variance of 2.8 cm2. Based on the description above, determine which of the following statements is false. MultipleChoice VE for G2 > 0 GV for G1 = 0 PV for G1 > PV for G2 VE for G1 >0Let X-1: correct, X=0 : wrong And P= Pr(X=1)=2/5 What is the variance? .32 O.6 O .4Consider a regression analysis with n= 51 and four potential independent variables. Suppose that one of the independent variables has a correlation of 0.49 with the dependent variable. Does this imply that this independent variable will have a very small Student's t statistic in the regression analysis with all four predictor variables? Choose all that apply. A. The correlation between the independent variable and the dependent variable could result in a very small Student's t statistic as the correlation creates a high variance. B. Correlation between the independent variable and the dependent variable is not necessarily evidence of a small Student's t statistic. C. A high correlation among the independent variables could result in a very small Student's t statistic as the correlation increases the coefficient standard errors. D. Correlation between the independent variable and the dependent variable is evidence of a small Student's t statistic.
- Two coworkers commute from the same building. They are interested in whether or not there is any variation in the time it takes them to drive to work. They each record their times for 20 commutes. The first worker's times have a variance of 12.1. The second worker's times have a variance of 16.9. The first worker thinks that he is more consistent with his commute times and that his commute time is shorter. Test the claim at the 10% level. What is s1 in this problem? What is s2 in this problem?Example 7.15 If B₁ = 1 and ß₂ = 4 and variance = 9, find the values of μ3 and μ and comment upon the nature of the distribution.In clinical trials of a medication whose purpose is treat migraine headaches, 0.4% of the patients in the study experienced a side effect. If a random sample of 500 users of the medication were selected, the variance, Var(X)=4. Select one: O True O False
