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- 15. The U.S. Energy Information Administration claimed that in 2017, U.S. residential customers used an average of 10,399 kilowatt hours (kWh) of electricity. A local power company believes that residents in their area use more electricity on average than EIA’s reported average. To test their claim, the company chooses a random sample of 100 of their customers and calculates that these customers used an average of 10,608 kWh of electricity in the prior year. Assuming that the population standard deviation is 1361 kWh, is there sufficient evidence to support the power company’s claim at the 0.05 level of significance? (a) Symbolically, state the null and alternative hypothesis and state which is the claim. (b) Calculate the standardized test statistic. You must show a filled out standardized test statistic formula. (c) Find either the critical values and identify the rejection regions or find the p-value. Also, decide whether to reject or fail to reject the null hypothesis and be sure…6. A school desires to estimate the average score that would be obtained on a reading comprehension exam for students in the sixth grade. The school has students divided into three tracks, with the fast learners in track I and the slow learners in track III. It was decided to stratify on tracks since this method should reduce variability of test scores. The sixth grade contains 55 students in track I, 80 in track II, and 65 in track III. A stratified random sample of 50 students is proportionally allocated and yields simple random samples of n 1= 14, n 2= 20, y n3 = 16 from tracks I, II, and III, respectively. The test is administered to the sample of students with the following results: Estimate the average score for the sixth grade, and place a bound on the error of estimation. （Answer: Mean = 59.99; Error = 3.032） 7. Suppose the average test score for the class in Exercise 6 is to be estimated again at the end of the school year. The cost of sampling are equal in all strata, but the…3. Construct all random samples consisting two observations from the given data. You are asked to guess the average weight of the six watermelons by taking a random sample without replacement fromı the population. Watermelon B. C D. E Weight (in pounds) 19 14 15 9. 10 17
- Adela Noriegam, a researcher wants to determine how employee salaries at a certain company are related to the length of employment, previous experience, and education. The researcher selects eight employees from the company and obtains the following data: Employee Salary,y Employment (in yrs), x1 Employment (in yrs), x2 Employment (in yrs), x3 A 57310 10 2 16 B 57380 5 6 16 C 54135 4 1 12 D 56985 6 5 14 E 58715 8 8 16 F 60000 20 0 12 G 59400 9 4 18 H 60720 15 7 17 What is the regression equation? Leave your answer in 2 decimal places Y = ()+() +() +10) The following table shows the sample subjects cross-classified by gender and the type of violent victimization reported. Can we conclude on the basis of these data that victimization status and gender are not independent? Let a =0.01. Gender Women Men Total No victimization 611 308 919 Partner 42 20 62 Non-partner 16 17 33 Total 669 345 10141. A researcher plans to conduct a survey among students in a public high school. If the population of thisschool is 5,000, find the sample size and the percentage from the N population. (Margin of error is 5%)A = {9,10,11,7,13}B = {10,10,10,10,10}C = {1,1,10,19,19}a. Calculate the mean of each data set.b. Calculate the standard deviation of each data set.c. Which set has the largest standard deviation?
- a) observed value of the test statistic b) the distribution of the test statistic: either X12 , X42 or X22c) p value and if this shows strong evidence for an association5. Use the data set 1. This is the result of a randomized trial in Uganda where 10 students in the same village were selected and given a solar-powered reading lamp. The second group was not given any lamp. The number of students out of 10 who improved their school grades for both groups were recorded. The experiment was repeated in 50 villages. Test the hypothesis that solar-powered reading lamps are effective in improving school grades in Uganda.1. A researcher wishes to determine if the following distances (in meters) traveled by a random sample of ten world-class long jumpers are highly affected by the speed (in meters per second) at takeoff. The distances recorded from the sample long jumpers are as follows: 7.67, 8.22, 7.94, 7.16, 8.08, 7.35, 7.89, 7.76, 7.25, and 7.43. On the other hand, the speeds are recorded as follows: 8.9, 9.2, 8.1, 8.6, 9.0, 8.4, 8.8, 9.1, 8.0, and 8.2. What will be the distance, assuming that the speed is 9.4 meters per second? Round your answer to two decimal places. There is no need to place the unit. 2. A certain regression line equation has the slope equal to 720.25 and an intercept that is equal to -182.4. What will be the predicted score for the dependent variable if the independent variable is 281.5? Round your answers to two decimal places. Do not place any unit.
- 22. A recent college graduate is in the process of deciding which one of three graduate schools he should apply to. He decides to judge the quality of the schools on the basis of the Graduate Management Admission Test (GMAT) scores of those who are accepted into the school. A random sample of six students in each school produced the following GMAT scores. Assume that the data are normally distributed. School 1 650 620 630 580 710 690 GMAT Scores School 2 505 550 700 630 600 650 School 3 590 510 520 500 490 530 a) Set up the ANOVA Table. Use a = 0.10 to determine the critical value. b) Can he infer at the 10% significance level dete the GMAT scores differ among the three schools? c) Use Fisher's LSD method with a = 0.05 to determine which population means differ. d) Use Tukey's method with a=0.05 to determine which population means differ.1. A dog groomer is often asked if small dogs bark more than larger dogs. To test this, he logs the number of separate barking episodes per day for three size dogs: small, medium, and large. In a separate file you will find the number of barking episodes for 12 dogs. On average, small dogs barked the most Mean: 7.25 On average, medium sized dogs barked the least Mean: 2.75 A. Do the different size dogs bark a significantly different number of times? Test with an α = 0.05. B. If appropriate, use Tukey’s HSD post hoc test and report where the differences are. If inappropriate, state why. C. Calculate and interpret the effect size.1. Big Blossom Greenhouse was commissioned to develop an extra large rose for the Rose Bowl Parade. A random sample of blossoms from Hybrid A bushes yielded the following diameters (in inches) for mature peak blooms.
