In a 2° factorial experiment with two factors A and B and three replicates, the contrast of factor A was found to be equal to 4.5. Then, the sum of squares of the factor A is SSA = 1.6875
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- Based on the chart (attached) Calculate the sum of squares (SS) for overall grade average using the definitional formulaA regression study was done for 20 cities with latitude and average May temperature as the explanatory variable and response variable respectively. The latitude is ranged from 26 to 47 degrees and the average May temperature is measured in degrees Fahrenheit. Given that the regression equation is ?̂ = 49.4 − 0.313?. (i) Find the proportion of variation that explained by the average May temperature if the total sum of squares and the error sum of squares are 4436.6 and 1185.8 respectively. (ii) By using suitable coefficient(s), comment on the strength of the relationship between the latitude and the average May temperature.Athletes performing in bright sunlight often smear black eye grease under their eyes to reduce glare. Does eye grease work? In one study, 16 student subjects took a test of sensitivity to contrast after three hours facing into bright sun, both with and without eye grease. (Greater sensitivity to contrast improves vision, and glare reduces sensitivity to contrast.) This is a matched pairs design. The differences in sensitivity, with eye grease minus without eye grease, are given in the table. 0.07 0.64 −0.12 −0.05 −0.18 0.14 −0.16 0.03 0.05 0.02 0.43 0.24 −0.11 0.28 0.05 0.29 Click to download the data in your preferred format. CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! How much more sensitive to contrast are athletes with eye grease than without eye grease? Give a 95% confidence interval to answer this question. Give your answers to four decimal places. lower bound: upper bound:
- An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 20 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 20 differences (Variety A - Variety B) givex¯=3.2x¯=3.2 and s=4.63s=4.63. Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu >> 1 for the mean is greater than 1, mu << 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) H0H0 : HaHa : (b) Find the test statistic, t = (c) Answer the question: Does this sample provide evidence that Variety A had a higher yield than Variety B? (Use a 5% level of significance) (Type: Yes or No)A magazine collected the ratings for food, decor, service and the cost per person for a sample of 104 restaurants. They combined the ratings to create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by Yi=−28.781+1.0138Xi, where Xi is the summated ratings and Yi is meal cost. For these data, SYX=8.246, X=61.63, and hi=0.026171 when X=53 A. Construct a 95% confidence interval estimate of the mean cost of a meal for restaurants that have a summated rating of 53. B. Construct a 95% prediction interval of the cost of a meal for an individual restaurant that has a summated rating of 53.A biologist collected data on a sample of 20 porcupines. She wants to be able to predict the body mass of a porcupine (M, in grams) based on the length of the porcupine (L, in cm). Her least squares regression equation is M = – 3089 + 175.6L. Predict the body mass of a porcupine that is 51 cm long. Report your answer using one decimal place. O 5661.0 g O 5732.5 g O 5866.6 g O 6139.2 g eTextbook and Media Save for Later Last saved 3 minutes ago. Attempts: 2 of 3 used Submit Answer Saved work will be auto-submitted on the due date. Auto- submission can take up to 10 minutes.
- Biologists in Minnesota are interested in determining if there is a difference in the invasion rate of Asian Carp (which can be detrimental to the environment) between the Mississippi River and Lake Mille Lacs. In the Mississippi River, it was found that 206 of 579 fish caught were Asian Carp. In Lake Mille Lacs, 28 of 132 fish caught were Asian Carp. Let p, = the true proportion of Asian Carp in the Mississippi River and let p2 = the true proportion of Asian Carp in Lake Mille Lacs. A test of Ho: P₁ = P2 vs. Ha: P₁ P₂ resulted in a p-value of 0.0015. Which of the following is a correct conclusion? (A) The test is not appropriate, since the researchers should have conducted a one-sided test. (B) The test is not appropriate, since the sample size is too small to conduct an inference test for proportions. (C) The test is not appropriate, since the two sample sizes are very different. (D) The p-value of this test is large, indicating we have sufficient evidence to conclude that a…A researcher want to know if there is a relationship between sleep and anxiety. The researcher randomly selected n = 5 participants and asked each to rate their sleep quality and anxiety level on a scale of 1 to 5. The data are below: Sleep X Anxiety Y 2 2 3 3 2 2 4 2 5 2 Calculate the Sum of Squares for X (SSX)CloudRack provides web hosting services on their 5 servers. When a person requests a page from one of their hosted websites, the server must find the page and send it to the person's browser. These requests arrive at the rate of 400 per second. The coefficient of variation of the interarrival times is 1. The processing time for a server is 0.01 second with a coefficient of variation of 1. (Round your answer to 4 decimal places.) On average, how much time does a request take to be filled (i.e., include time waiting for a server and the actual processing by the server)? seconds