A small p value implies: a higher possibility of rejecting of the null hypothesis. a large t-statistic. the central limit theorem is not appropriate. a small standard error of the estimator.
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- 1) In the method,two independent variable are assumed to have; a)Low collinearity b)High collinearity c)No collinearity d)Perfect collinearity 2) If variance of coefficient cannot be applied, we cannot conduct test for; a) Correlation b) Determination c)Significant d) Residual termA study compared grade point averages (GPA) for students in a class: students were divided by 6 locations where they usually sat during lecture (i.e. left or right front, left or right center, left or right rear). A total sample size of 12 students was studied (2 students from each section) using one-way analysis of variance. i. The sum of squared errors is SSE = 50. What is the value of the Mean Square Error (MSE )? 08.33 04.17 ONone of these O10.00 ii. The sum of squares for location is SSX= 60. What is the Mean Square for X(MSX )? O12 O10 O30 ONone of these1) A researcher estimates an AR(1) with an intercept and finds that the OLS estimate of β1 is 0.95, with a standard error of 0.02. Does a 95% confidence interval include β1=1? A.Yes, since the value of the t-statistic for the null hypothesis β1=1 is −2.50 and the 5% critical value of the augmented Dickey-Fuller statistic is −2.86, the null hypothesis is not rejected. Thus β1=1 is in the 95% confidence interval. B.No, the interval, calculated as β1±1.96SEβ1, is from 0.91 to 0.99. C.No, since the value of the t-statistic for the null hypothesis β1=1 at the 5% level is −2.50. D.No, because the critical value of the augmented Dickey-Fuller statistic at the 5% significance level is −2.86.
- Suppose we have sample data on (y,x) of size n. Consider regressing y on x and a constant using the least square method (OLS estimation). The estimated equation is y = 2.59 +5.19 x + e where e is the residual. The standard errors for the constant and the coefficient were 0.51 and 1.58 respectively. To test the null hypothesis of zero coefficient (for x) at a given significance level, we may use t-statistic. Compute the t-statistic for the coefficient. Make sure the answer is round up to the nearest hundredth. e.g. 3.015 --> 3.02A statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken. This test was taken by a large group of students, and the average score was 78.5. A random sample of eight students was asked to predict this average score. Their predictions were as follows:72 83 78 65 69 77 81 71Assuming a normal distribution, test the null hypothesis that the population mean prediction would be 78.5. Use a two-sided alternative and a 10% signifi- cance level.The ANOVA below corresponds to the Full Model (Model 1) WINS = bo + 61ERA + b2 Saves + b3 Runs + b4 Batting + b5 HRs + b6 WHIP + e Use the SAS output below to answer the question below: Analysis of Variance Sum of Mean Square F Value Pr > F Source DF Squares Model 6 426.66280 55.79 <.0001 Error 23 Corrected Total 29 Root MSE 2.76539 R-Square Dependent Mean 81.06667 Adj R-Sq 0.9189 Coeff Var 3.41125 The adj-R2is: (use 3 decimal places) 0.921 0.919 0.081 0.929
- ASSISTANCE REQUIRED FOR PART "e" i- vi ONLY, please. Also can you please show step by step how to get null and alternative in the hypothesis? A car company wants to know the monthly sales made in ($000), based on the brand of vehicle.The data collected was entered on a MINITAB spreadsheet for analysis. Exhibit II below was subsequently generated. Exhibit 2 Model N Mean Median Tri.Mean Std Dev S.E. Mean Hyundai 23 109 135 107.64 * 1.34 Toyota 27 165 124 143.65 9.5 ** a) Determine the values of * and **. b) Give the unbiased point estimate for the average monthly earning from Hyundai Vehicles.c) Give the unbiased point estimate for the variance of monthly earning from Hyundai Vehicles.d) Assuming normality, construct and interpret a 90% confidence interval for the average monthly earning from Toyota Vehicles. e) You are required to test at the 5% level of significance the hypothesis that the average monthly earnings on Hyundai Vehicles is equal to $110,000 versus the…A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. If α = 0.05, what is the critical t value? 2) A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. what is the degree of freedomUnanswered 4 attempts left a Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of 15 minutes or less. If a longer mean survey time is necessary, a premium rate is charged. Suppose a sample of 35 surveys shows a sample mean of 17 minutes. Use o = 4 minutes. a. Formulate the null and alternative hypotheses for this application. Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer b Q2a Homework Unanswered Due Apr 4th, 11:50 PM d U Ho H15; HA 15 c Ho με 15; Η, : μ > 15 H : μ > 15; Μ, :μ 15 F Ho:μ > 15; H, μ < 15 8 Ho: H≤15: HA: µ ≥ 15 Unanswered. 4 attempts left Submit Q2b-d Homework Unanswered Due Apr 4th, 11:59 PM Submit
- Economic topic. Solve it A radio shop sells, on an average, 200 radios per day with a standard deviation of 50 radios After an extensive advertising campaign, the management will compute the average sales for the next 25 days to see whether an improvement has occurred. Assume that the daily sales of radios is normally distributed: (i) Write down the null and the alternative hypotheses. (ii) Test the hypothesis at 5% level of significance if X = 216. %3D (iii) How large must Xbe in order that the null hypothesis is rejected at 5% level of significance.25 An economist would like to test the hypothesis that the average daily screen time that a person spends on mobile devices is greater than 300 minutes. A random sample of 30 smartphone users was selected and their daily screen time was recorded. The standard deviation for the 30 smartphone owners using their devices is 112.19 minutes and the sample mean of the daily screen time is 297.17 minutes. Using a = 0.05, the test statistic of the sample mean is -1.38 -0.138. 0.138 O 1.38A transport company wants to compare the fuel efficiencies of the two types of lorry it operates. It obtains data from samples of the two types of lorry, with the following results: Type Average mpg Standard deviation Sample size A B 31.0 32.2 7.6 6.8 33 40 Test the hypothesis that there is no difference in fuel efficiency, using the 95% confidence level.