1. Find the variance of the t - distribution with 35 degrees of freedom. 2. Find the value of ta for a 95% confidence interval when the sample size is 25. 2 3. Find an interval of values for Z using the standard normal distribution, corresponding to an area of 91.3%
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- Suppose you want to estimate the proportion of cars that are sport utility vehicles (SUVs) being driven in Kansas City, Missouri, at rush hour by standing on the corner of I-70 and I-470 and counting SUVs. You believe the figure is no higher than 0.40. If you want the error of the confidence interval to be no greater than .03, how many cars should you randomly sample? Use a 90% level of confidence. Appendix A Statistical Tables (Round your answer up to the nearest integer.) Sample enter a number of cars rounded to the nearest integerWhen constructing a confidence interval for the population mean of a nonmoral distribution when the population variance is unknown and the sample size is large (n > 30), an analyst may acceptably use: either a z-statistic or a t-statistic. only a z-statistic at α with n degrees of freedom. only a t-statistic at α/2 with n degrees of freedom.A car-rental company is interested in the amount of time its vehicles are out of operation for repair work. State all assumptions and find a 98% confidence interval for the mean number of days in a year that all vehicles in the company's fleet are out of operation if a random sample of 10 cars showed the following number of days that each had been inoperative. 16 13 23 26 18 15 14 12 7 State all assumptions. Select all the assumptions below. A. The sample size is at least 30 B. It is a random sample C. The variance is less than the mean D. The sample comes from a normal population 20
- 8. assignment variable at which the treatment status does NOT change In Regression Discontinuity framework, the cutoff is defined as the level of the True False 9. What regression equation do we use for regression discontinuity framework? a) Y = Bo + B1 T + B2Xu+ Ei b) Y = Bo + B,T+ B2C + ei c) Y, = Bo + B, T+ B2 (Xi-C) + ei d) Y, = Bo + B1T + B2 (Xu + C) + € 10. Regression Discontinuity Design accomplices apples-to-apples comparison by comparing individuals as far from the cutoff as possible. True FalseBased on a random sample of size 75, you observe a sample mean of 85.63 and a sample standard deviation of 19.71. Which of the following are the endpoints of a 90% confidence interval for the population mean? (Because of potential roundoff, choose the closest.) a. 82.69 to 88.57 b. 81.84 to 89.42 c. 79.61 to 91.65 d. 81.10 to 90.16In a random sample of 250 homeowners from a population of homeowners in a Florida resort community, 32 report that they had water damage during the past rainy season. The endpoints of a 95% confidence interval for the proportion of all homeowners who had water damage are closest to which of the following? a. 0.081 to 0.175 b. 0.073 to 0.182 c. 0.093 to 0.163 d. 0.087 to 0.169
- The widths of 79 randomly selected window blinds were found to have a standard deviation of 2.37. Construct the 95% confidence interval for the population standard deviation of the widths of all window blinds in this factory. Round your answers to two decimal places. Lower endpoint: Upper endpoint:Risk analysis intervals are preferred over chance and consequence numbers for unknown reasons.Bo Using data from 50 workers, a researcher estimates Wage = ẞe + B₁Education + B2Experience + B3Age + ε, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. A portion of the regression results is shown in the following table. Intercept Education Experience Age Coefficients Standard Error t Stat p-Value 7.17 4.26 1.68 0.0991 1.81 0.35 5.17 0.0000 0.45 0.10 4.50 0.0000 -0.01 0.06 -0.17 0.8684 a-1. Interpret the point estimate for ẞ1. As Education increases by 1 year, Wage is predicted to increase by 1.81/hour. As Education increases by 1 year, Wage is predicted to increase by 0.45/hour. As Education increases by 1 year, Wage is predicted to increase by 1.81/hour, holding Age and Experience constant. As Education increases by 1 year, Wage is predicted to increase by 0.45/hour, holding Age and Experience constant. a-2. Interpret the point estimate for $2. As Experience…
- Emenyi Company Limited is considering using Markov analysis to analyze brand switching between three different brands of its Detox medicated soap; Detox White, Detox Green and Detox Orange. The company’s marketing specialist conducted a survey and gathered data which she utilized to estimate the following transition matrix. The matrix shows the probability of moving between brands each month: From White Green OrangeWhite 0.78 0.11 0.11 Green 0.04 0.94 0.02 Orange 0.20 0.04 0.76 The current (month 1) market shares are 50%, 20% and 30% for Detox White, Detox Green and Detox Orange respectively. Required (i) What will be the expected market shares for each of the three brands after two months have elapsed (that is, in month 3)?(ii) What is the long-run prediction for the expected market share for each of the three brands?A physicist examines 44 seawater samples for iron concentration. The mean iron concentration for the sample data is 0.1850.185 cc/cubic meter with a standard deviation of 0.04460.0446. Determine the 80%80% confidence interval for the population mean iron concentration. Assume the population is approximately normal.8. Suppose the population is normally distributed. Specify the appropriate hypothesis test and determine the appropriate critical z or t point(s) for each of the following tests concerning the population mean : (a) upper-tailed test: a - 0.025, n - 25,_ - 3.0. (b) lower-tailed test: a - 0.05, n - 30, s - 9.0. (c) two-tailed test: a - 0.02, n - 5I, s - 6.5. (d) two-tailed test: a - 0.10, n - 36, - 3.8.