COMPLEX ANALYSIS Please answer all questions Calculate lim using properties of limits. 5iz-3 2z+6i1 004-2
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Q: QUESTION 3 4 31 Let A = 2 -5 4 and B = 915 (a) A +6B (b) BT 100 340. Compute the following. -253
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- Are you an impulse shopper? A survey of 1000 grocery shoppers indicated that 24% of males and 57%of females make an impulse purchase every time they shop. Assume that the survey consisted of 500 males and 500 females. Complete parts (a) and (b) below. Question content area bottom Part 1 a. At the 0.01 level of significance, is there evidence of a difference in the proportion of males and females who make an impulse purchase every time they shop? Let group 1 be the males, and let group 2 be the females. State the null and alternative hypotheses. Choose the correct answer below. A. H0:π1≥π2 H1:π1<π2 BH0:π1≠π2 H1:π1=π2 C.H0:π1≤π2 H1:π1>π2 D.H0:π1=π2 H1:π1≠π2 E.H0:π1<π2 H1:π1≥π2 F.H0:π1>π2 H1:π1≤π2 Part 2 Calculate the test statistic. χ2STAT= (Round to three decimal places as needed.) Part 3 Determine the critical value. The critical value is - (Round to three decimal places as needed.) Part 4 State…Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…The manufacturer of large liquid crystal display (LCD) is difficult. Some defectsare minor and can be removed; others are unremovable. The number of unremovabledefects for each of n = 45 displays1 0 5 3 0 7 6 0 0 4 6 85 0 9 1 0 8 6 0 3 2 0 00 6 0 10 0 6 0 0 1 0 0 00 1 5 1 0 5 0 0 2has mean ̅ x= 2.667 and s = 3.057 unremovable defects. Conduct a test of hypothesis withthe intent of showing that the mean number of unremovable defects is less than 3.6. Take α= 0.025.
- The management of the local zoo wants to know if all of their animal exhibits are equally popular. If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At α=0.005, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the Zoo Elephants Lions/Tigers Giraffes Zebras Monkeys Birds ReptilesNumber of visitors 152 175 185 144 145 171 163 Step 2 of 4 : Calculate the expected value for the number of visitors for the birds exhibit. Enter your answer as a fraction or a decimal rounded to three decimal places. Step 3 of 4: Compute the value of the test statistic. Round any calculations to at least six decimals places and round your final answer to three…An agricultural scientist tests six types of fertilizer, labeled A, B, C, D, E, and F, to determine whether any of them produces an increase in the yield of lima beans over that obtained with the current fertilizer. For fertilizer C, the increase in yield is statistically significant at the 0.05 level. For the other five, the increase is not statistically significant. The scientist concludes that the yield obtained with fertilizer C is greater than that of the current fertilizer. Explain why this conclusion is not justified.Of the total 161 patients with diabetes ketoacidosis (DKA), 13 had DKA before and after the pump therapy, 128 did not have DKA either before or after, 7 had DKA before but not after, and 13 did not have DKA before but after.a) Draw a 2 by 2 table b) Is there any evidence of a difference in the effect? c) Write a brief summary of what the result show.
- 5 aginThe management of the local zoo wants to know if all of their animal exhibits are equally popular. If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At α=0.05, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the ZooElephants Lions/Tigers Giraffes Zebras Monkeys Birds ReptilesNumber of visitors 137 129 161 147 160 134 131 Step 3 of 4 : Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places. Step 4 of 4: Draw a conclusion and interpret the decision. (Reject or fail to reject, Is there enough evidence or not?)The management of the local zoo wants to know if all of their animal exhibits are equally popular. If there is significant evidence that some of the exhibits are not being visited frequently enough, then changes may need to take place within the zoo. A tally of visitors is taken for each of the following animals throughout the course of a week, and the results are contained in the following table. At α=0.05, determine whether there is sufficient evidence to conclude that some exhibits are less popular than others. Animal Exhibits at the Zoo Elephants Lions/Tigers Giraffes Zebras Monkeys Birds Reptiles Number of visitors 139 136 169 125 174 137 174 Copy Data Step 3 of 4 : Compute the value of the test statistic. Round any intermediate calculations to at least six decimal places, and round your final answer to three decimal places.
- In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 40 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 40-minute interval) one otter initiates social grooming of another. Lambda = 6.8 (b) Find the probabilities that in your 40 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) =In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 30 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 30-minute interval) one otter initiates social grooming of another. a) What is ?? b) Write out the formula for the probability distribution of the random variable r. P(r) = _________ c) Find the probability that one otter will initiate social grooming four or more times during the 30-minute observation period. (Round your answer to four decimal places.)In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 30 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 30-minute interval) one otter initiates social grooming of another. a) Find the probabilities that in your 30 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) = b) Find the probability that one otter will initiate social grooming less than four times during the 30-minute observation period. (Round your answer…