The table below shows a frequency distribution of marks for 400 students in computer programming in a faculty of science. Determine the percentage of students whose marks are at least 50 but ?less than 90 Marks 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99 Number of Students 14 46 58 76 68 62 48 22 6 45% 50% 30% 80%
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- Suppose the probability of incorrectly transmitting a single bit is . Compute the probability of correctly receiving a -word coded message made up of -bit words.Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the probability of transmitting a 4-bit code word with (a) at most one error, and (b) exactly four errors.If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are ________ different salaries. Guaranteed not to be earning 2.Earning very 3.Definitely earning 4.0Not earning
- Assume that in your liguistics class you have earned the test scores 83, 74, 54, and 64; and only one test remains. If you need a mean score of 70 to earn a "C", then what minimum score must you obtain on the last test?Nine students have been chosen to take part in a study. Each student will be taught statistics by two completely different methods and then tested on their knowledge in each class. The results of the first technique are labeled as Group 1 and the results of the second technique are labeled Group 2 as follows: Group 1 ___ Group 2 76 83 92 91 83 72 84 93 65 75 71 87 60 75 81 79 72 74 You can assume that the average difference between these two groups is -5.00. Further, you can assume that the sample variance of the differences is 77.0. Use the appropriate procedure to test the claim that scores in these two groups are the same, using a = .10.Assume that a tennis coach from Texas wants to develop a rally test that can classify players’ performance level accurately. The coach randomly selected 20 tennis players, 10 players are Super Champs (high level), another 10 are Challengers (low level). The coach feeds 10 balls to each of players and sets up the cutoff score of 8. Namely, if a player who can return 8 out of 10 balls to a specific area, is considered a high level. Otherwise, they are considered as low level performance. The table below showed the numbers that players can return balls to the specific area. What is the contingence coefficient? SuperChamps Challegers 10 8 10 8 10 7 9 7 9 6 8 5 8 6 8 3 7 4 7 5 a. .70 b. .75 c. .80 d. .85
- The matchsticks in 10 packages of matches randomly selected from the matches produced by a match factory were counted and found as 39, 43, 35, 46, 47, 38, 41, 40, 45 and 36, respectively. Accordingly, what is the arithmetic average of the garbage in the packages produced by this match factory?The following list gives the number of public libraries in each of 8 cities. 8, 8, 11, 7, 10, 7, 9, 9 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."An investigator analyzed the leading digits from 766 checks issued by seven suspect companies. The frequencies werefound to be 212,144,104,54,64,48,40,43 and 57, and those digits correspond to the leading digits of 1,2,3,4,5,6,7,8, and 9, respectively. If the obserced frequencies are substantially different from the frequencies expected with Benford's law shown below, the check amonts appear to result form fraud. Use a 0.02 significance level to test for goodness of fit with bendford's law. Does it appear that the checks are the result of fraud? Leading Digit 1 2 3 4 5 6 7 8 9Actual Frequency 212 144 104 54 64 48 40 43 57Benford's Law: Distribution ofLeading Digits30.1% 17.6% 12.5% 9.7% 7.9% 6.7% 5.8% 5.1% 4.6% State the conclusion as: (3)________________H0. There (4)___________sufficient evidence to warrant rejection of the claim that the leading digits are from a population with a distribution that conforms to Benford's law. It (5) __________ that the checks are the result of fraud.
- Calculate the point prevalence for Alzheimer’s disease among individuals 65 years of age or older in a county that has 200,000 individuals who are 65 years of age or older, if 22,223 individuals who are 65 years of age or older have the disease. 0.0111 0.1111 0.8889 0.9889All outbound packages from a distribution center are routed to a person for packing. 60% of packages are easy and can be packed at a rate of 45 packages per hour. The remaining packages are more difficult and can only be packed at a rate of 12 packages per hour. There is no specialization, packages are randomly assigned to any available packer. What is the average packing rate for each packer?A group of researchers wishes to see if the total number of diseases that occurred in six countries are the same. The data are shown in the table. At α = 0.05 is there enough evidence to reject the claim that the number of diseases in the six countries are the same? Philippines - 8,6,7,10,16 India -6,13,16,10,7 Thailand. -5,8,16,22,12 Singapore. -14,12,8,9,15 Korea. -5,4,32,21,17 Japan. -6,18,15,24,16