b) The Ekatahuna Widget factory is to replace its old machines, and must choose among the three types now available on the market. One of each type (A1, A2 and A3) is borrowed for testing. The 21 workers are randomly allocated, seven to each new machine. Each worker is timed for assembling 10 widgets using the old type of machine, and x (in seconds) is the average time taken. Then, after practice, the worker is timed for 10 widgets on the new machine, with Y being the average time in seconds. A1 A2 Аз y y y 23 22 21 23 24 22 25 24 23 24 25 22 26 26 24 26 26 24 28 27 25 28 28 26 30 28 26 27 30 29 32 30 28 29 32 29 33 31 31 34 33 198 32 Sum 197 188 178 191 184 Note: Ey = 22 +24? + ...+32 = 15327; Ex = 23 +...+32 = 15893 and Exy = 15572 Conduct the analysis of covariance, and test the significance of the covariate and adjusted treatment means.

We are interested in estimating the proportion of people that can identify Nebraska but not Vermont. In a class of 55 students, each student was requested to select a sample of 6 people, show each person a map of the US and ask the person to identify the states of Vermont and Nebraska. The following numbers are the counts that each student got, that is, each number is the count of people in the student sample of 6, that could identify Nebraska but not Vermont.3344010110020030002020001100002010000001000200000001010Note: You can cut and past these numbers into an excel spreadsheet to help you calculate the mean and the standard deviation and compute the confidence interval. If you have trouble pasting them, paste them to a text file first and then copy from there.When we collect all the students' data, we have a sample size of 6x55=330.Of the sample of 330 people, what proportion were able to locate Nebraska but not Vermont? (round answer to 3 decimals) Find a 95% confidence interval for…

A third-grade teacher is interested in comparing the effectiveness of two styles of instruction in language comprehension: imagery, in which the students are asked to picture a situation involving the word, and repetition, in which the students repeat the definition of the word multiple times. After 6 weeks of instruction, she gives the students a language comprehension test. The following scores are the number of correct answers for each student. Determine whether the two styles of instruction differ in their effectiveness. Imagery: 12, 13, 11, 11, 13, 13, 15, 12, 9, 12  Repetition: 6, 11, 10, 12, 9, 10, 11, 12, 10, 8 Answer the quetions in picture provided using above information. Thank you

An interdepartmental task force is being formed to investigate an increase in violent crimes. 1/5 of the task force will be police officers from the local precinct. 1/4 will be ATF agents, and the remaining 22 will be from the FBI. How many people are participating in the task force?

A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s)       Annual Revenue ($ millions)11.5                   118 10.0                   135 9.0                     100 5.5                     37 3.3                     32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA   df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677     Total 4 8925.2           Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…

A researcher wants to determine the specificity of mammograms to determine how effective they are at diagnosing women who have breast cancer. Assume the researcher obtained the results below from a study:  Out of a total of 18 women with breast cancer, 12 screened positive and 6 screened negative on the mammogram. Out of a total of 82 women without breast cancer, 5 screened positive and 77 screened negative on the mammogram. Calculate and interpret the specificity of mammograms for detecting breast cancer.

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 21% of your total grade, each major test is worth 20.5%, and the final exam is worth 38%. Compute the weighted average for the following scores: 88 on the lab, 86 on the first major test, 97 on the second major test, and 84 on the final exam

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 17% of your total grade, each major test is worth 23%, and the final exam is worth 37%. Compute the weighted average for the following scores: 75 on the lab, 70 on the first major test, 95 on the second major test, and 63 on the final exam. Enter your answer as a whole number.