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- Please answer all thoroughly and clearly Grade 12 Data ManagementIn a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 80% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours. A random sample of 625 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P(P >0.84), which is the probability that more than 84% of the people in the sample pass the test. Round your answer to four decimal places. 0 XA manufacturing company that produces laminate for countertops is interested in studying the relationship between the number of hours of training that an employee receives and the number of defects per countertop produced. Ten employees are randomly selected. The number of hours of training each employee has received is recorded and the number of defects on the most recent countertop produced is determined. The results are as follows. Hours of Training Defects per Countertop 1 5 4 1 7 0 3 3 2 5 2 4 5 1 5 2 1 8 6 2 Copy Data The estimated regression line and the standard error are given. Defects per Countertop=6.717822−1.004950(Hours of Training)se=1.229787se=1.229787 Suppose a new employee has had 5 hours of training. What would be the 90% prediction interval for the number of defects per countertop? Round your answer to two decimal places.
- A recent study investigated whether renowned violinists were able to classify the age of a violin. In the study, violins constructed before 1900 and violins constructed after 2010 were used. The violinists played each violin and were asked to classify the violin as old (constructed before 1900) or new (constructed after 2010). The responses are shown in the following table. Violin Correctly Classified Incorrectly Classified Total New (constructed after 2010) 15 18 33 Old (constructed before 1900) 18 13 31 Total 33 31 64 Which of the following statements is supported by the results in the table? A.) The proportion of all new violins that are correctly classified is equal to the proportion of all old violins that are correctly classified. B.) The proportion of all new violins that are incorrectly classified is equal to the proportion of all old violins that are correctly classified. C.) The proportion of all incorrectly classified violins that are old is equal to the…Superpowers A total of 415 children from the United Kingdom and the United States who completed a survey in a recent year were randomly selected. Each student's country of origin was recorded along with which superpower they would most like to have: the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The data are summarized in the following table. Country U.K. U.S. Fly 54 45 Freeze time 52 44 Invisibility 30 37 Superpower 20 23 Superstrength Telepathy 44 66 a. What proportion of students in the sample are from the United States? b. Find the distribution of superpower preference for the students in the sample using relative frequencies. c. What percent of students in the sample are from the United Kingdom and prefer telepathy as their superpower preference?Oxygen consumption was measured in twelve individuals while they sat with their eyes closed listening to an exciting adventure story read by Taylor Swift or a restful instrumental medley performed by Metallica. Based on the results shown, is oxygen consumption less when listening to the music? Story Music 6.1 5.4 7.2 6.7 5.7 5.4 6.4 4.2 5.8 4.0 6.2 4.1
- part a and bDoes the background music affect the behavior of supermarket shoppers? An experiment to answer this question was conducted in a supermarket during the relatively stable summer shopping months. Two days were selected in midweek. One day was assigned to receive no background music. During the second day slow-tempo background music was played. The daily sales (in dollars) for twelve weeks are shown in the accompanying table. None Slow tempo $15,172 $15,917 15,485 16,110 13,922 13,818 12,204 14,709 15,501 13,982 14,106 16,416 14,608 14,727 12,946 14,823 15,002 14,825 14,670 15,949 16,202 15,488 13,286 13,055 Estimate the difference in the actual average daily sales between no-music days versus slow-tempo days using a 95% confidence interval. Does the data suggest that, on the average, background music positively affects daily sales? Show all necessary work.Suppose a researcher is interested in examining the relationship between a person's gender and whether he or she likes the taste of Vegemite (a dark- brown food paste, made from yeast, that is popular in Australia). She collects a sample of n = 10 people and asks them whether they like the taste of Vegemite. The following table summarizes the results. Male Female Does Not Like the Taste of Vegemite 4 1 Likes the Taste of Vegemite 2 3 The researcher wants to calculate the correlation between a person's gender and whether he or she likes the taste of Vegemite. To do so, the researcher first creates a table of the data by converting each variable to a numerical value. She assigns 0 to "male" and 1 to "female." She then assigns 0 to "does not like the taste of Vegemite" and 1 to "likes the taste of Vegemite."
- See pictures for graphic Archie is fed up with waiting in line at his local post office and decides to take action. Over the course of the next few months, he records the waiting times for each of a random selection of 25 post office visits made by him and other customers. These waiting times (in minutes) are summarized in the followingA psychologist wanta to determine the effect of relaxing music on a person's reaction to a stressful event. Participants were randomly assigned to one of three groups. A participant was brought into a room with no windows and only one door. In the background, either soft classical music, or no music at all was playing. After a set amount of time, a fire alarm went off, and smoke started to come from under the door. A hidden video camera records the participants behavior that is later scored by the experimenter for level of panic from 0-100. Which statistical test would be best to determine if there is a significant difference between groups? One sample t test Dependent samples t test Independent t test ANOVALast two please!