Hypothesis TestSuppose population 1 consists of all students who picked up all the tests they completed prior totaking the final exam. Suppose population 2 consists of all students who had one or more teststhat they completed that were not picked up prior to taking the final exam.Based on years of grading final exams and observing grades, STAT 210 instructors conjecture thatthe mean final exam grade for all students who picked up all their tests is greater than the mean final examgrade for all students who had one or more tests that were not picked up.A simple random sample of 56 students who picked up all tests they completed was selected, andthe mean score on final exam for this sample of students was 83 with a standard deviation of10.4. An independent simple random sample of 51 students who had one or more tests thatwere not picked up was selected, and the mean score on the final exam for this sample ofstudents was 67 with a standard deviation of 24.2. Both distributions are skewed heavily tothe left. If appropriate, use this information to test the hypotheses stated in question 10 at thea=.01 level of significance.12What is the value of the test statistic?O4.100O8.0848O5.512O4.368

Given, For sample 1 : sample size (n1) = 56 sample mean (x̄1) = 83 sample variance (s1) = 10.4 For…

Answered: Suppose population 1 consists of all…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Below is the summary A tutorial school has been running IELTS mock examination for many years. 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 5 2 5 7 15 8 10 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 ihe 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) rejection region(s), (iii) calculation of test statistics, and (iv) conclusion.) (c) If the confidence interval estimate in part…
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(5) A certain educational institute has 15 centers located at different places in a city. There are three telephone operators in each center. The manager wanted to estimate the average number of calls received per telephone per week for this institute. He decided to select four centers and the number of calls received on last week for each operator were recorded. The data collected are given in Table 02. Answer the following questions. Table 02: Number of calls received for each operator 25, 15, 30 18, 12, 10 20, 18, 22 15, 20, 18 Center 1 4 (i) (ii) What is the sampling method used in this study? Justify your answer. Estimate the average number of telephone calls received per telephone operator.
21a)
An investigator analyzed the leading digits from 794 checks issued by seven suspect companies. The frequencies were found to be 218, 130, 106, 83, 65, 48, 48, 37, and 59, and those digits correspond to the leading digits of 1, 2, 3, 4, 5, 6, 7, 8, and 9, respectively. If the observed frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amounts appear to result from fraud. Use a 0.025 significance level to test for goodness-of-fit with Benford's law. Does it appear that the checks are the result of fraud? Leading_Digit Actual_Frequency Benford's_Law:1) 218 30.10%2 )130 17.60%3) 106 12.50%4) 83 9.70%5) 65 7.90%6) 48 6.70%7) 48 5.80%8) 37 5.10%9) 59 4.60% Calculate the test statistic, χ2 =? (Round to three decimal places as needed.) Calculate the P-value=? (Round to four decimal places as needed.)
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