3. The government wishes to model the number of calls made to a particular citizen's advice helpline. Over the last month they estimate that there have been on average 1.8 calls/hour. What distribution would be best to model this random variable? O Normal Distribution O Poisson Distribution O Binomial Distribution O Uniform Distribution O T-Distribution
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- Fiting a straight ine to a set of data yields the following predicion line. Complete (a) through (e) below a. Interpret the meaning of the Yintercept, Choose the correct anower below O A. The Yintercept, be =4, imples that the average value of Yis 4. OB. The Yintercept, b7, implies that when the value of Xs0, the mean value of Yis 7 OC. The Yantercept, by4, implies that tor each increase of 1 unt in X, the value ofYa expected to increase by 4 unts •D. The Yintercept, 4, implies that when the value of Xis 0, the mean value of Y is 4 b. Interpret the meaning of the slope, b Choose the comect answer below OA The slope, by4, implies that for each increase of 1 unit in X, the value of Yis expected to increase by 4 units OB. The slope, by =7, implies that the average value of Y is 7. O C. The slope, b,=7, imples that for each increase of 1 unit in X, the value of Y is expected to increase by 7 units %3D OD. The slope, b,7, implies that for each increase of 1 unit in X, the value of Yis…Differentiate the function. 2x3 y = 7 4x3 dy dx 3. ||Question: It is known that the mean diameters of rivets produced by two firms A and B are practically the same but the standard deviations may differ. For 22 rivets produced by firm A, the standard deviation is 2.9 mm. while for 16 rivets manufactured by firm B, the standard deviation is 3-8 mm. Compute the statistic would use to test whether the you products of firm A have the same variability as those of firm B and test its significance?
- ll by adding 5 to each of the numbers in the set 3.6 117 7 1 we obtain the set 8, 116, 12, 10 Show that the two sets have the standard deviation Same deviation but different means How are the mean related ?The reliability of an estimator is assessed in terms of its _____. Select one: a. mean b. ease of computation c. coefficient of variation d. variance18. An insurance agent has claimed that the average age of policy-holders who insure through him is less than the average for all agents, which is 30-5 years. A random sample of 100 policy-holders who had insured through him gave the following age distribution : Age last birthday 16-20 21-25 26-30 31-35 36-40 No. of persons 12 22 20 30 16 : Calculate the arithmetic mean and standard deviation of this distribution and use these values to test his claim at the 5% level of significance. You are given that Z (1-645) = (0-95.
- asnwer for 2.This problem involves empirical probability. The table shows the breakdown of 95 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is in the Army. Male Female Total Army 24 10 34 Navy 27 8 35 Marine Corps 5 1 6 Air Force 146 20 Total 70 25 95 The probability that a randomly selected single parent in the U.S. military is in the Army is (Type an integer or decimal rounded to the nearest hundredth as needed.)Give typing answer with explanation and conclusion Suppose that the government must undertake an irreversible policy decision regarding the extent of air pollution regulation. The government is making this decision in a situation of uncertainty, however. In particular, there is some probability p that the benefits will remain the same as they are this year for all future years, but there is some probability 1 - p that benefits will be less in all future years. If we take into consideration the multiperiod aspects, should we err on the side of overregulation or underregulation, compared to what we would do in a single-period choice?
- Alocal toy manufacturer is using a production line that runs 8 hours per day and produces a toy that requires a total of 7 tasks to be performed. The daily demand is 100 toysTimes of the tasks are 273, 2.01, 2.13, 2.0, 2.61, 2.71 and 2.95 minutes for A, B C, D, E , and Grespectively. However, due to the nature of the product there are precedence rules that must be observed. Such that Task A does not need any predecessors: task B requires task A to be completed. To start task Deach require task B to be completedTask must be completed prior to stating task E. Task F needs both task D and task E to be completed. Finally, task G can start only once task Fiscompleted.Given we apply the most remaining tasks rule for balancing the assembly line, with broken according to longest task time firstWhat will the estimated idle time in minutes for THIRD workstation?The following table shows the results of a survey conducted by Impulse Research for the Downtown Cookie Company. In the survey, 1050 adults were asked to identify their favorite cookie. a. b. Favorite Cookie Chocolate chip Peanut butter Oatmeal Sugar/shortbread Other Total Frequency 483 231 147 126 63 1050 Determine the probability distribution. What is the probability of selecting a person whose favorite cookie was chocolate chip? C. What is the probability of selecting a person whose favorite cookie was not chocolate chip? d. What is the probability of selecting a person whose favorite cookie was chocolate chip or a person whose favorite cookie was peanut butter?K The first statistics exam had a mean of 71 and a standard deviation of 15 points; the second had a mean of 82 and a standard deviation of 5 points. Anna scored a 84 on both tests. Megan scored 94 on the first exam and 74 on the second. They both totaled 168 points on the two exams, but Anna claims that her total is better. Explain. The total of Anna's z-scores is, which is greater than Megantotal of (Round to one decimal place as needed.)