P(5' U T)= [ Choose ] P(odd and T)= [ [ Choose ] P(even and H)= [ Choose ]
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- During the second semester of SY 2019 – 2020, students in Mathematics in the Modern World were asked to rate their extent of preparation and level of difficulty. Five classes were considered for this study. Suppose 15 students from each class were randomly selected, (4) is there a significant relationship between their level of difficulty and prelim scores? (5) is there a significant relationship between their level of difficulty and midterm scores? (6) is there a significant relationship between the extent of preparation and level of difficulty in their prelim scores?During the second semester of SY 2019 – 2020, students in Mathematics in the Modern World were asked to rate their extent of preparation and level of difficulty. Five classes were considered for this study. Suppose 15 students from each class were randomly selected, (1) is there a significant relationship between their prelim and midterm scores? (2) is there a significant relationship between their extent of preparation and prelim scores? (3) is there a significant relationship between their extent of preparation and midterm scores?A credit card company randomly generates temporary 5 digit pass codes for cardholders. Mehgan is expecting her credit card in the mail. Determine to the nearest hundredth of a percent, the probability that her pass code will consist of 5 different digits.
- An automobile owner found that 20 years ago, 76% of Americans said they would prefer to purchase an American automobile. He believes that the number is much less than 76% today. He selected a random sample of 56 Americans and found that 38 said that they would prefer an American automobile. Can it be concluded that the percentage today is less than 76% if a=0.01?Camille believes that 50% of first-time brides in the United States are younger than their grooms. She performs a hypothesis test to determine if the percentage is the same or different from 50%. Camille samples 100 first-time brides and 53 reply that they are younger than their grooms. For the hypothesis test, she uses a 3% level of significance.A factory has two production lines produces certain goods. The newer production line produces 90% of all goods, with a defection rate of 3%; the other has a defective rate of 5%. What is the overall defective rate in the factory? If a product is found defective, what is the chance that it was produced by the newer production line?
- The University of the East Europe is interested in the overall performance of its students in the academic year 2020/2021. There were 1460 students registered for this academic year. The University decides to select a sample of 150 students from each of the 5 faculties- Science, Medicine, Law, Social Science and Humanities in proportion to the number of students in each faculty. i). Identify the population of interest for this scenario. iv). If the medical faculty has 584 students registered, calculate how many medical students would be part of the sample of 150.A survey by the Arthur Andersen Enterprise attempted to determine what the leading challenges are for the growth and survival of small businesses. Although the economy and finding qualified workers were the leading challenges, several others were listed in the results of the study, including regulations, listed by 30% of the companies, and the tax burden, listed by 35%. Suppose that 71% of the companies listing regulations as a challenge also listed the tax burden as a challenge. Assume these percentages hold for all small businesses. 1. If a small business is randomly selected, find the following probabilities: (a) The small business lists either the tax burden or regulations as a challenge. (b) The small business lists either the tax burden or regulations but not both as a challenge. (c) The small business does not list regulations as a challenge given that it lists the tax burden as a challenge. (d) The small business does not list regulations as a challenge given that it does not…A survey by the Arthur Andersen Enterprise attempted to determine what the leading challenges are for the growth and survival of small businesses. Although the economy and finding qualified workers were the leading challenges, several others were listed in the results of the study, including regulations, listed by 30% of the companies, and the tax burden, listed by 35%. Suppose that 71% of the companies listing regulations as a challenge also listed the tax burden as a challenge. Assume these percentages hold for all small businesses. 1. If a small business is randomly selected, find the following probabilities: (a) The small business lists either the tax burden or regulations as a challenge. (b) The small business lists either the tax burden or regulations but not both as a challenge. (c) The small business does not list regulations as a challenge given that it lists the tax burden as a challenge. (d) The small business does not list regulations as a challenge given that it does not…
