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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- Determine the Availability and downtime per yearPlease solve for parts D, E, and F.Q1: A FSHN student was trying to see if onion cut in water produces significantly less tears compared to onion cut in the air. She did an experiment on 6 onions. She cut onions into half, one half was chopped in water & the other half was chopped in the air. Here is the amount of tears (in ml) she collected: air: 3.2 2.3 2.6 2.8 3.0 3.7 water: 0.2 0.03 0.09 0.1 0.01 0.15 a) What kind of test would you use to analyze this data? and Why? T test unequal variance, because there is different between variance b) Do you think the onion chopped in the air produce significantly more tears than onion cut in water? Give two reasons from the analysis to support your answer.
- In North America, between 100 million and 1 billion birds die each year by crashing into windows on buildings, more than any other human-related cause. This figure represents up to 5% of all birds in the area. One possible solution is to construct windows angled downward slightly so that they reflect the ground rather than an image of the sky to a flying bird. An experiment by Klem et al. (2004) compared the number of birds that died as a result of vertical windows, windows angled 20 degrees off vertical, and windows angled 40 degrees off vertical. The angles were randomly assigned with equal probability to six windows and changed daily; assume for this exercise that windows and window locations were identical in every respect except angle. Over the course of the experiment, 30 birds were killed by windows in the vertical orientation, 15 were killed by windows set at 20 degrees off vertical, and 8 were killed by windows set at 40 degrees off vertical. a. Clearly state an appropriate…Researchers suspect that 18% of all high school students smoke at least one pack of cigarettes a day. At Wilson High School, with an enrolment of 300 students, a study found that 50 students smoked at least one pack of cigarettes a day. At a = 0.04, test the claim that 18% of all high school students smoke at least one pack of cigarettes a day.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.
- In a survey of 1150 adult males, 805 said they use the Internet. In a survey of 1050females, 746 said they use the Internet. Atα= 0.05, can you reject the claim that the proportion of Internet users are the same for both groups?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…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
- A researcher selected a sample of 268 former student-athletes from a list of graduates of a large university. A total of 14% of the sample of athletes had earned graduate degrees as compared to 17% of all graduates. What is the Z obtained value?A personal trainer wanted to test the effectiveness of two different workout routines. She took a random sample of 70 of her clients and, in a random order, had them complete one of the two routines for two weeks. Then, after a one-month waiting period, she asked them to come back and do the other routine for two weeks. After each two-week period of the exercise routines, she measured their performance on a physical fitness aptitude test. She found the average difference in aptitude scores between the two routines for each client was 30.4 with a standard error of 3.2. What would be her 85% confidence interval for the average difference in the effectiveness of the two routines? (3 decimal places) ( , )A researcher designed a study to test whether caffeine use enhanced performance time to run a 100 meter sprint. The participants (n=30) ran a 100 meter sprint before the consumption of caffeine on day 1 and then they ran another 100 meter sprint on the following day 2 after ingesting caffeine. The average time taken to run the 100 meter sprint on day 1 was (M1) and the average to run on day 2 after caffeine was (M2). The variance for this study was calculated to be (S2). Does caffeine use improve the running time in the 100 meter sprint (e.g., lower time)? Use all of the data provided to you below and test at an alpha of 0.05. M1 = 26.53M2 = 14.69S2 = 207.75n=30 a) state null and alternate hypothesis b) what is the critical value c) what is the obtained value d) conclusion