The contingency table to the right shows counts of the types of gasoline bought during the week and during weekends. (a) Find the value of chi-squared and Cramer's V for this table. (b) Interpret these values. What do these tell you about the association in the table? ETTE Weekday Weekend Total Premium 138 64 202 Plus 107 36 143 Regular 485 135 620 Total 730 235 965 (a) x =(Round to two decimal places as needed.) %3D
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- Gaben wants to investigate first if gender is associated with whether the student exhibits excessive hours in playing online games. In his research, a student is said to exhibit excessive gaming if he/she plays for more than 10 hours per week. The following results were obtained. The assumptions of the Chi-square test of independence were __________. Based on the p-value of _______, there is ___________ evidence to say that there is an association between whether the student exhibits excessive gaming or not and his/her gender. Moreover, the Cramer’s V value of _____________ indicates that there is a _________________ association between the two variables.What does the chi-square test of independence test for? a.if the two variables tested combine somehow to influence the frequencies observed b.if the two variables are significantly similar to each other c.if the two variables tested are both dependent on the frequencies c.if the two variables are significantly different from each other1. What is the Cramer-Rao lower bound for the variance of the unbiased estimator of the parameter ?? 2. Use the one-parameter regular exponential family definition to find the functions, ℎ(?),?(?),?(?) and ?(?).
- Two varieties of lettuce were grown for 16 days in acontrolled environment. The following table shows the totaldry weight (in grams) of the leaves of nine plants of thevariety “Salad Bowl” and six plants of the variety “Bibb.” Compute the standard error of (Y1 - Y2) for these data.Assume an industrial psychologist has polled a group of adults on which characteristic of an automobile is most important to them, appearance, performance, or economy. Some of these adults have kids and some don't. The number people preferring each of these response categories is given below. PREFERENCE Appearance Performance Economy __________________________________________________________ | | | | Kids |_____ |_____ |_____ | | 70 | 60 | 120 | |_________________ |_________________ |_____________________| | | | | No…Assume that the following tables are the results of Diagnostic tests. Why do you use the following test? What is the Null hypothesis? Interpret the results. White Test F-statistic 3.017495 Prob. F(14,29) 0.58 Obs*R-squared 26.08995 Prob. Chi-Square(14) 0.52 Why do you use the following test? What is the Null hypothesis? Interpret the results. Lagrange multiplier (LM) test F-statistic 22.78404 Prob. F(1,38) 0.0000 Obs*R-squared 16.49278 Prob. Chi-Square(1) 0.0000 Why do you use the following test? How can you interpret the results? Variance Inflation Factors Coefficient Uncentered Centered Variable Variance VIF VIF…
- When a group of subjects entered a room, researchers recorded both the color of shirt worn by thesubject, and whether or not the subject smiled. The results are recorded below. With 0.05significance, test the claim that color of shirt and smiling are independent. Use your calculator.Smiled No SmileGreen Shirt 15 10Blue Shirt 13 7Yellow Shirt 5 8calculate the covariance. round ro three decimal placesAssume an industrial psychologist has polled a group of adults on which characteristic of an automobile is most important to them, appearance, performance, or economy. Some of these adults have kids and some don't. The number people preferring each of these response categories is given below. PREFERENCE Appearance Performance Economy __________________________________________________________ | | | | Kids |_____ |_____ |_____ | | 70 | 60 | 120 | |_________________ |_________________ |_____________________| | | | | No Kids |_____…
- A physician hypothesizes that females have higher systolic blood pressure than males. The physician obtains the blood pressure from a sample of patients during their annual check-up. Below is the systolic blood pressure for the sample. What can be concluded with an α of 0.01? male female 1061199810510013210911398105 13710594115127122131124111136 A)Obtain/compute the appropriate values to make a decision about H0. Critical Value= Test Statistic= B) Compute the corresponding effect size(s) and indicate magnitude(s). d= r2=Assume an industrial psychologist has polled a group of adults on which characteristic of an automobile is most important to them, appearance, performance, or economy. Some of these adults have kids and some don't. The number people preferring each of these response categories is given below. PREFERENCE Appearance Performance Economy __________________________________________________________ | | | | Kids |_____ |_____ |_____ | | 70 | 60 | 120 | |_________________ |_________________ |_____________________| | | | | No…The management of the local zoo wants to know if all of their animal exhibits are equally popular. If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At α=0.005, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the Zoo Elephants Lions/Tigers Giraffes Zebras Monkeys Birds ReptilesNumber of visitors 152 175 185 144 145 171 163 Step 2 of 4 : Calculate the expected value for the number of visitors for the birds exhibit. Enter your answer as a fraction or a decimal rounded to three decimal places. Step 3 of 4: Compute the value of the test statistic. Round any calculations to at least six decimals places and round your final answer to three…