How long it takes paint to dry can have an impact on the production capacity of a business. An auto body & paint business invested in a paint-drying robot to speed up its process. An interesting question is, "Do all paint-drying robots have the same drying time?" To test this, suppose we sample five drying times for each of different brands of paint-drying robots. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. Suppose the following data were obtained. Robot 1 Robot 2 Robot 3 Robot 4 127 145 134 149 137 133 144 141 135 143 137 136 125 146 137 141 141 128 128 153     Find the value of the test statistic. (Round your answer to two decimal places.)   Find the p-value. (Round your answer to four decimal places.) p-value =

Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information: x 1 2 3 4 5 y 12.2 20.9 14.4 19.6 20.0 Σx = 15; Σy = 87.1 ; Σx2 = 55; Σy2 =1577.17; Σxy = 275.6 (a) Draw a scatter diagram.   (b) Find the equation of the least-squares line. (Round your answers to two decimal places.) ŷ = +   x (c) Find r. Find the coefficient of determination r2. (Round your answers to three decimal places.) r =   r2 =   Explain what these measures mean in the context of the problem. The correlation coefficient r measures the strength of the linear relationship between a bighorn sheep's age and the mortality rate. The coefficient of determination r2 measures the explained…

Do lizards play a role in spreading plant seeds? Some research carried out in a country would suggest so. The researchers collected 400 seeds of this particular type of fig, 100 of which were from each treatment: lizard dung, bird dung, rock hyrax dung, and uneaten figs. They planted these seeds in batches of 5, and for each group of 5 they recorded how many of the seeds germinated. This resulted in 20 observations for each treatment. The treatment means and standard deviations are given in the accompanying table. Treatment n Uneaten figs 20 | 2.80 0.30 Lizard dung 20 2.75 0.36 Bird dung 20 2.10 0.35 Hyrax dung 20 1.85 0.29 n USE SALT (a) Construct the appropriate ANOVA table, and test the hypothesis that there is no difference between the means for the number of seeds germinating for the four treatments. (Use a = 0.05. Round your mean squares to three decimal places and F statistic to two decimal places.) Source of Variation Sum of Squares Mean df F Square Treatments 3 13.45 4.483333…

Question 1 W Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. A marketing director for a beverage company conducted a study to investigate people's soda preferences in two regions of the country. The director selected a random sample of 100 people from the east coast and a random sample of 100 people from the west coast to survey. The responses are summarized in the following table. East Coast West Coast Regular soda 44 37 Diet soda 39 42 No preference 17 21 Total 100 100 Do the data provide convincing statistical evidence, at the level of a = 0.05, that the preferences are different between the two regions of the country? Complete the appropriate inference procedure to support your answer.