In a Random Block, Design there are only two blocks. Let k be the number of treatments and :X, and X , be - the average yield of the two blocks respectively. Show that the between blocks sum of squares is given as k (X 2 X ) 2 -
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- 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2If we know that the firm’s profit, X, is uniformly distributed between losing 0.5million dollars to profiting 0.5 million dollars,(a) What is the average?(b) What is the P(losing 0.2 million dollar < x < profiting 0.1 million dollar)?There are two traffic lights on a commuter's route to and from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X1, X2 is a random sample of size n = 2). Can you help me with 3 and 4?
- a major cereal manufacturer is awarding prize certificates in its #1 cereal. a random sample of 60 cereal boxes is selected and 5 are found to contain prize certificates. find the 90% C.I for the true proportion of prize certificates.The critical value of t for a two tail test with 6 degrees of freedom is 2.447 1.943 2.365 1.985If We can assert with 95% that the maximum error is 0.05 and p= 0.2 ,find the sample size...
- In a clinical study, a random sample of 540 participants agree to have their blood drawn, which is to be examined for the presence of antibodies against a certain contagious disease. It is found in 22% of the blood samples, which experimenters hope to extrapolate to the general population. From this random sample, 10 participants' blood samples are selected at random. If X is the number of samples out of the 10 who have these antibodies, what can we say about X? A. The sample size is not large enough for us to approximate X using a normal distribution B.The expected value of X is 22 C. X can be approximated using a normal distribution in lieu of a binomial distribution D. X has a sampling distribution that is normalA study found that 1 out of 200 adult males have green eyes. If a random sample of 400 adult males is obtained, is the sampling of the sample proportion of males that have green eyes approximately normal? A. Yes, the sample size is greater than 10% of the population. B. Yes, the sample was randomly selected C. No, because np < 10 D. No, because nq < 10There are two traffic lights on a commuter's route to and from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X1, X2 is a random sample of size n = 2). x1 0 1 2 p(x1) 0.1 0.2 0.7 ? = 1.6, ?2 = 0.44 (a) Determine the pmf of To = X1 + X2. to 0 1 2 3 4 p(to) (b) Calculate ?To. ?To = How does it relate to ?, the population mean? ?To = · ? (c) Calculate ?To2. ?To2 = How does it relate to ?2, the population variance? ?To2 = · ?2
- A sample of n= 64 scores has a mean of M= 68. Assuming that the population mean is u=60, find the z-score for this sample: If it was obtained from a population with o= 16 Z=A Cohen's d score of 1.2 is considered to be: Small Negligible Medium LargeIn a random sample of 320 cars driven at low altitudes, 50 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed. In an independent random sample of 135 cars driven at high altitudes, 17 of them exceeded the standard. Can you conclude that the proportion of high-altitude vehicles exceeding the standard is less than the proportion of low-altitude vehicles exceeding the standard? Let p1 denote the proportion of low-altitude vehicles exceeding the standard and p2 denote the proportion of high-altitude vehicles exceeding the standard. Use the =α0.10 level of significance and the P -value method with the TI-84 Plus calculator. please state all steps to the p method clearly!
