The following table gives the number I = I(t), in millions, of adult Americans with Internet access in year t. %3D t = Year 2000 2003 2009 I = Millions of adult Americans 105 155 185 (a) Find I(2009). I(2009) = million adult Americans Explain what I(2009) means. O This means that 185 million adult Americans had Internet access in 2009. This means that 445 American households had Internet access in 2003.
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.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…Assume that σ12 = σ22 = σ2. Calculate the pooled estimator of σ2 for s12=50, s22=57 and n1 =n2 =18.1. The following data represent the operating time in hours for 4 types of pocket calculators before a recharge is required.Fx101 Fx202 Fx303 Fx404 6.4 5.9 7.1 5.3 6.1 5.8 7.1 4.9 6.5 5.9 7.2 6.1 6.2 5.1 7.3 7.1 6.3 5.0 7.4 4.9Test at 0.01 level of significance if the operating times for all four calculators are equal. Use 4 decimal placesSTATISTICS = _____COMPUTED VALUE = _____TABULAR VALUE = _____CONCLUSION = _____
- Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 149 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. P-value?Resistors labeled as 100 Ω are purchased from two different vendors. The specification for this type of resistor is that its actual resistance be within 5% of its labeled resistance. In a sample of 180 resistors from vendor A, 150 of them met the specification. In a sample of 270 resistors purchased from vendor B, 233 of them met the specification. Vendor A is the current supplier, but if the data demonstrate convincingly that a greater proportion of the resistors from vendor B meet the specification, a change will be made. a) State the appropriate null and alternate hypotheses. b) Find the P-value. c) Should a change be made?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…
- Let X1, . . . , Xn ∼ iid Unif(θ1, θ2), where both θ1 and θ2 are unknown. Find the MOM estimator and compare them to the MLE.A random sample of 80 poultry farms of one variety gave an average production of 240 eggs per bird. Another random sample of 50 poultry farms of another variety gave an average production of 195 eggs per bird. At a=0.05 is there sufficient evidence to support that there is a significant difference between the egg production of the two varieties of birds. Assume o1 =18 eggs and o2=15 eggs