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- only c A tutorial school has been running IELTS mock examination for many years. Below is the summary presented by the tutorial school related to the IELTS mock examination in one of the many online classes selected randomly in year 2022. IELTS score in mock examination Number of students <4 0 5 2 6 5 7 15 8 10 9 3 A report presented by this tutorial school 5 years ago indicated that the population mean score of IELTS mock examination was 7.05 points and the population proportion of students got 7 points or above was 0.67. (a) Construct a 95% confidence interval estimate of population mean score a student get in the IELTS mock examination in 2022. (b) Test, at 1% level of significance, if the population proportion of students get 7 points or above in 2022 is higher than that in year 2017. (The report must include the (i) null hypothesis and alternative hypothesis, (ii)…Conduct a related-sample t-test using data set below. Each row represents a pair of scores.2) Determine the critical values ( = .05, two-tailed) you should use to evaluate this t-test.3) Compute r^2 for this t-test. A B18 435 4031 1430 1840 3025 2711 1730 1828 1220 20Q4 Deep leaming is a type of Machine Learning, inspired by the function and structure of a human brain, where machines can learn by experience and acquire skills without any human involvement. Table Q4 shows the relation of data amount and the performance of a deep learning technique capability to perform COVID-19 face mask identification among crowd in Pasar Rabu, Taman Universiti, Parit Raja. Table Q4 Independent variable Dependent variable Face mask identification Set of experiment Training data size, x аccuracy (%), у 1 100 30 200 40 3 300 50 400 55 500 60 6. 600 70 7 700 75 8 800 80 9 900 85 10 1000 90 10 10 10 Given > r; = 4600, = 635, > = 2860000 i=1 i=1 i=1 10 10 = 43875, >r yi = 322000 (a) Determine Sr, Syy, and Sry (b) Determine B. B. (c) Determine the estimated regression line equation.
- Question 6 with clear expectations, and diagram pleaseDefine the concept of Weighted Least Squares?The accompanying summary quantities resulted from a study in which x was the number of photocopy machines serviced during a routine service call and y was the total service time (min). n = 17 (y - y)² = 22,218.08(y-y)² = 2615.58 (a) What proportion of observed variation in total service time can be explained by a linear probabilistic relationship between total service time and the number of machines serviced? (Give the answer to three decimal places.) (b) Calculate the value of the estimated standard deviation se. (Give the answer to three decimal places.) What is the number of degrees of freedom associated with this estimate?
- 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.The financial services call center also monitors call duration, the amount of time spent speaking to customers on the phone. The file CallDuration contains the following data for time, in seconds, spent by agents talking to 50 customers. (use the following class intervals: 60 but <120; 120 but <180; 180 but <240; 240 but <300; 300 but < 360; 360 but <420; 420 but less than 1500 ) (in Minitab, in the recode window remember to set “endpoints to include” to “both endpoints”) a. Construct a frequency distribution and a percentage distribution . b. Construct cumulative percentage distributions. c. What can you conclude about call center performance if a call duration target of less than 240 seconds is set?Samples of 400 printed circuit boards were selected from each of two productionlines A and B. Line A produced 40 defectives, and line B produced 80 defectives.Using an estimate for each line, do the data indicate that the two lines produce adifferent fraction of defective circuit boards, with 97% confidence.
- A local chess club claims that the length of time to play a game has a mean of 23 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is ▼ less than equal to less than or equal to greater than not equal to greater than or equal to 23 minutes, but you ▼ fail to reject reject the null hypothesis, ▼ Upper H 0 : mu less than 23H0: μ<23 Upper H 0 : mu equals 23H0: μ=23 Upper H 0 : mu not equals 23H0: μ≠23 Upper H 0 : mu less than or equals 23H0: μ≤23 Upper H 0 : mu greater than or equals 23H0: μ≥23 Upper H 0 : mu greater than 23H0: μ>23 . A type II error will occur if the actual mean of the length of time to play a game is ▼ not equal to greater than or equal to equal to greater than less than or equal to less than 23 minutes, but you ▼ fail to reject reject the null hypothesis, ▼…What is Lagrangian multiplier?Dimwit, a social media company, wants to become more competitive in the marketplace. They have developed an algorithm that tracks the response and resolution times when customers call for technical support. The company has a service standard of 4 days for the mean resolution time with the standard deviation of 10.3 days. However, the Director of the technical support group has been receiving some complaints of long resolution times. During one week, a sample of 36 customer calls resulted in a sample mean of 5.3. Even though the sample mean exceeds the 4-day standard, does the manager have sufficient evidence to conclude that the mean service time exceeds 4 days, or is this particular sample mean simply a result of sampling error? Use a significance level equal to 1% to test your hypothesis.