There are few methods of interpolations (Newton's, Lagrange, Gregory-Newton) which able to identify or predict the daily number of cases for Covid-19. Apply at least two (2) methods to find the number of cases on 2nd March 2021 based on Figure 1.0 data.
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- An educational study to be conducted requires a test score in the middle 60% range. If μ = 100 and σ = 15, Find the highest and lowest acceptable scores that would enable a candidate to participate in the study. Assume the variable is normally distributed.A sample data has a distribution that has a single mode and is strongly positively skewed. An analyst computes three measures of location for this data; the mean, the median and mode. State the largest of these three location measures. Suggest, with a reason, which would be the best measure of location.A teacher is comparing the academic performance through the General Weighted Average of Senior High School students in three consecutive semesters. The semesters cover two terms (first semester and second semester) of face-to-face (before covid-19 pandemic) and one term of modular distance learning (during the covid-19) pandemic. What statistical test best fit?
- An analysis was conducted by the Statistics Consulting Center atVirginia Polytechnic Institute and State University in which acertain treatment was applied to a set of tree stumps. The chemicalGarlon was used the with the purpose of regenerating the roots ofthe stumps. A spray was used with four levels of GarlonPage 23 of 23concentration. After a period of time the height of the shoots wasobserved. Does the concentration of Garlon has a significantimpact on the height of the shoots? Use α = 0.05.A quality control engineer is considering the optimal design of an X- chart. Based on his experience with the production process, there is a probability of .03 that the process shifts from an in-control to an out-of-control state in any period. When the process shifts out of control, it can be attributed to a single assignable cause; the magnitude of the shift is 2σ. Samples of n items are made hourly, and each sampling costs $0.50 per unit. The cost of searching for the assignable cause is $25, and the cost of operating the process in an out-of-control state is $300 per hour.a. Determine the hourly cost of operating the system when n = 6 and k = 2.5.b. Estimate the optimal value of k for the case n = 6. If you are doing the calculations by hand, use k = 0.5, 1, 1.5, 2, 2.5, and 3.0. If you are using a computer, use k = 0.1, 0.2, . . . , 2.9, 3.0.c. Determine the optimal control chart design that minimizes average annual costs.The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson process with a mean of 3.5 accidents per year. Find the mean waiting time between accidents. year
- Every year, all incoming high school freshmen in a large school district take a math placement test. For this year’s test, the district has prepared two possible versions: Version 1 that covers more material than last year’s test and Version 2 test that is similar to last year’s test. The district suspects that the mean score for Version 1 will be less than the mean score for Version 2. To examine this, over the summer the district randomly selects 90 incoming freshmen to come to its offices to take Version 1, and it randomly selects 75 incoming freshmen to come take Version 2. The 90 incoming freshmen taking Version 1 score a mean of 113.0 points with a standard deviation of 16.8 . The 75 incoming freshmen taking Version 2 score a mean of 117.0 points with a standard deviation of 18.5 . Assume that the population standard deviations of the test scores from the two versions can be estimated to be the sample standard deviations, since the samples that are…To qualify for security officers’ training, recruits are tested for stresstolerance. The scores are normally distributed, with a mean of 62 and a standarddeviation of 8. If only the top 15% of recruits are selected, find the cutoff score.The highway Loss Data Institute routinely collects data on collision coverage claims. Collision coverage insures aigainst physical damage to an insured individual's vehicle. The data represent a random sample of 18 collision coverage claims based on the data obtained from the highway Loss Data Institute for 2004 models. a) Find and Interpret the first, the second and the third quartiles for collision claims. (For Q2, use the vlookup function) b) Compute the interquartile rangec) Find any outliers.d) Sketch the boxplot and comment on the shape of the distribution. data (in $) 6751 189 10034 9908 1185 735 3461 370 802 2336 1414 618 21147 4668 180 2332 1953 1657
- A researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5 flasks get no drugs (ND). Doubling time of the yeast cells are measured in each flask, data is in the table. Test if mean doubling time is different in Caffeine (C ) when compared to no drug (ND) using an ANOVA method, report an approximate p-value for the level of significance.A cellphone provider has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 124 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of the subscribers would upgrade. Complete parts (a) and (b) below. Question content area bottom Part 1 a. At the 0.05 level of significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced cost? Determine the null hypothesis, H0, and the alternative hypothesis, H1. A. H0: π≥0.20 H1: π<0.20 B. H0: π≠0.20 H1: π=0.20 C. H0: π≤0.20 H1: π>0.20 D. H0: π=0.20 H1: π≠0.20 What is the test statistic? ZSTAT=enter your response…Suppose administrators at a large school district decide to institute mandatory study halls at their middle schools in an effort to boost their students' academic performance. After one year, a guidance counselor decides to test whether students' grade point averages (GPAs) have improved compared to the previous school year. The counselor selects a random sample of 40 eighth-graders from throughout the district who were also enrolled in the district for seventh grade. He records their GPAs for grades seven and eight, and for each student, calculates the difference between the two. The counselor's data is summarized in the given table. Variabledescription Samplemean Sample standarddeviation Standarderror estimate seventh grade GPA x¯= 2.64796 s=0.45763 SE=0.07236 eighth grade GPA x¯=2.78543 s=0.54764 SE=0.08659 difference (8th - 7th) x¯=0.13747 s=0.34586 SE=0.05469 The counselor plans to use this information to conduct a matched-pairs t‑test of the null hypothesis H0:μ=0…