Construct a table of values for all the nonprincipal Dirichlet characters mod 16.
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- Let A =000 Compute JCF(A).Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening program for the early detection of breast cancer wras started in order to increase the survival rate p of those diagnosed to have the disease. A random sample of 200 women was selected from among those who were screened by the program and who vwere diagnosed to have the disease. Let x represent the number of those in the sample who survive the disease. A USE SALT (a) If you wish to determine whether the community screening program has been effective, state the alternative hypothesis that should be tested. O Hgip + O H;: p > O H: p= O Hgi p O Ho: P = O Hoi p * (c) If 194 women in the sample of 200 survive the disease, can you conclude that the community screening program was effective? Test using a = 0.05. Find the test statistic and the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)…Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passes the test, a success (S) occurs; if it fails the test, a failure (F) occurs. Assume that 82.0% of the components in the lot will succeed in passing the test. Let X represent the number of successes among the three sampled components. Find ux. (Round the final answer to three decimal places.)
- An electronics store has received a shipment of 25 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other thirteen have a single slot. Suppose that eight of the 25 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O hypergeometric with N = 25, M = 12, and n = 8 O binomial with n = 12, x = 8, and p = 8/12 O binomial with n = 25, x = 12, and p = 8/25 O hypergeometric with N = 12, M = 8, and n = 12 (b) Compute P(X = 2), P(X S 2), and P(X 2 2). (Round your answers to four decimal places.) P(X = 2) = P(X S 2) = P(X 2 2) (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value radios…An electronics store has received a shipment of 20 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other eight have a single slot. Suppose that eight of the 20 radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots. (a) What kind of distribution does X have (name and values of all parameters)? O binomial with n = 20, x = 12, and p = 8/20 8, and p = 8/12 O binomial with n = 12, x = Ⓒhypergeometric with N = 20, M = 12, and n = 8 O hypergeometric with N = 12, M = 8, and n = 12 (b) Compute P(X = 2), P(X ≤ 2), and P(X ≥ 2). (Round your answers to four decimal places.) P(X=2) 1.47 P(X ≤ 2) = 0.914 P(X22) = 0.316 X X (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value…LetC = {0000000, 1110100, 0111010, 0011101, 1001110,0100111, 1010011, 1101001}.What is the error-correcting capability of C? What is the error-detecting capability of C?
- The data file includes the text of three books of the Bible (Joshua, Jonah and Philippians) using the ESV translation. While these are all great books, our only interest for this project is how often each letter is used. Identify those letters whose Cls do not overlap with any the CIs of any of the other letters. (For example the CI [0.042, 0.052] overlaps with [0.050, 0.060] because the upper bound of the first CI is greater than the lower bound of the second CI.) List the letters with the non-overlapping Cis and specify how many such letters there are.Find the first three values of the linear congruential generator X; = 2x;–1 +3 (mod 13) starting with xo=6. Ox1=2, x2=7, x3=4 Ox1=2, x2=7, x3=1 Ox1=2, x2=5, x3=8 Ox1=2, x2=8, x3=6just need ans for the wrong one.
- A certain company produces fidget spinners with ball bearings made of either plastic or metal. Under standard testing conditions, fidget spinners from this company with plastic bearings spin for an average of 2.7 minutes, while those from this company with metal bearings spin for an average of 4.2 minutes. A random sample of three fidget spinners with plastic bearings is selected from company stock, and each is spun one time under the same standard conditions; let x¯1x¯1 represent the average spinning time for these three spinners. A random sample of seven fidget spinners with metal bearings is selected from company stock, and each is likewise spun one time under standard conditions; let x¯2x¯2 represent the average spinning time for these seven spinners. What is the mean μ(x¯1−x¯2)μ(x¯1−x¯2) of the sampling distribution of the difference in sample means x¯1−x¯2x¯1−x¯2 ? 3(2.7)−7(4.2)=−21.33(2.7)−7(4.2)=−21.3 A 3−7=−43−7=−4 B 2.7−4.2=−1.52.7−4.2=−1.5 C…Consider the 26 design in eight blocks of eight runs each with ABCD, ACE, and ABEF as the independent effects are chosen to be confounded with blocks. Generate the design. Find the other effects confounded with blocks.A) Use the moment-generating function to calculate the first moment u1 B) A) Use the moment-generating function to calculate the first moment u2 C)What is the mean and variance of the random variable Y



