2. The following distribution shows the pork barrel given to 100 Congressmen for the year 2019. Determine Q₁ and Q₂ Amount P 1-100 101-200 201-300 301-400 401 - 500 No. of Donations 5 12 47 20 16
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- What is a sample space?A researcher read that firearm-related deaths for people aged 1 to 18 years were distributed as follows: 74% were accidental, 16% were homicides, and 10% were suicides. In her district, there were 68 accidental deaths, 27 homicides, and 5 suicides during the past year. At α = 0.10, test the claimFind the mode of the following amounts (in thousands of dollars) in checking accounts of randomly selected people aged 20-25. 2,4,4,7,2,9,9,2,4,4,11
- The table shows the annual compensation of 40 randomly chosen CEOs (millions of dollars). 4.91 1.79 23.00 7.34 13.40 5.22 2.22 4.94 193.74 16.26 24.98 8.68 10.19 16.34 2.59 3.62 86.09 13.11 27.77 6.61 8.96 5.59 1.87 4.88 24.19 15.46 18.97 5.72 8.28 2.70 0.74 3.70 36.83 16.45 20.29 7.34 9.57 4.29 1.66 2.33 The table shows the annual compensation of 40 randomly chosen CEOs (millions of dollars). 4.91 1.79 23.00 7.34 13.40 5.22 2.22 4.94 193.74 16.26 24.98 8.68 10.19 16.34 2.59 3.62 86.09 13.11 27.77 6.61 8.96 5.59 1.87 4.88 24.19 15.46 18.97 5.72 8.28 2.70 0.74 3.70 36.83 16.45 20.29 7.34 9.57 4.29 1.66 2.33 (c) Identify any unusual values. (Round your answers to 2 decimal places.) ______________ million ______________ millionThe annual salary for a sample of U.S. governors in 2017 are as follows: $120395, $177467, $130273, $139339, $177412, $99636, $150000, $159300, $123427, $108167, $149730, $110834, $105000, $142265, $148886, $98600, $106078, $109470, $160135, $175000, $150000, $105000. 1. Find the mean and the standard deviation for the sample of annual salaries. 2. What is the associated t - score for a 99% confidence level? 3. What is the margin of error for a confidence level of 99%? 4. Find a 99% confidence interval for the mean salary of U.S. governors in 2017. Assume the data is normally distributed.Construct a frequncy distribution using 5 classes. 4, 16 13 0 5 20 23 23 6 29 20 0 13 27 29 5 5 18 4 7
- a) What proportion of 20% of defective items should a supervisor in the quality system of a plastic products company accept when they ask him to evaluate a routine inspection procedure for orders of 100 identical articles, knowing that the procedure consists of taking a sample of 10 items and the one to accept the order if no more than 2 defective items are found? b) How many defective items are expected to appear in the sample?Suppose you are a researcher and you are interested in determine the consumption behavior of all first year students at Mzumbe University. Due to limited resources you decide to select only 500 students to represent the entire group. Use the stratified sampling with probability proportional to size to identify the number of students from each programme that will be included in the sample. Assume that the total number of students in each degree programme is as indicated in the table below; Course Econ BAF HRM Education Computer No of students 500 800 1000 400 200 Source: Hypothetical dataThe control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process ( due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following.
- Suppose that a single-sampling plan with n=50 and c=1 is being used for receiving inspection where the supplier ships the product in lots of size N=3,000, If the lot fraction defective is p = 0.02. Determine the probability of rejecting the lot.A company has established a sampling plan where it has defined that its sample size is 80 with an acceptance value of 2. With this information, establish the probability of acceptance for the following values of defective products (1%, 3% and 5% ). Determine the probabilities of acceptance for those same defective portions if the sample is increased to 120 and 170 units. a. What is the Probability of Acceptance for n=80, c=2 and p=0.01? b. What is the Probability of Acceptance for n=80, c=2 and p=0.03? c. What is the Probability of Acceptance for n=80, c=2 and p=0.05? d. What is the Probability of Acceptance for n=120, c=2 and p=0.01? e. What is the Probability of Acceptance for n=120, c=2 and p=0.03? F. What is the Probability of Acceptance for n=120, c=2 and p=0.05? g. What is the Probability of Acceptance for n=170, c=2 and p=0.01? h. What is the Probability of Acceptance for n=170, c=2 and p=0.03? I. What is the Probability of Acceptance for n=170, c=2 and p=0.05? J. Which plan…