13. A committee of 12 is to be randomly selected from 15 science teachers and x math teachers. If the expected number of science teachers on the committee is 4.7, what is x?
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A: As per company guidelines I solved only First questions.thank you
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- A random semple of n,= 144 people ages 16 to 19 were taken from the kland of Dahu, Hawall, und B were found to be high school dropouts. Another random sample ef n,-131 people ages 16 to 19 were taken frem Sweeteater County, wyomng, and 11 were found to be hgh sdool dropouts. Do theme data Indicate that the population proportion of high school dropouts on Oahu is different (ether way) from that of Sweetwwater County? Use a 1% level of stgniticance. (a) what is the level of ugniicance? State the nul and altemate hypotheses O Hi P, = Pai H: P, P2 (b) what samping distribution will you use? What assumptions are you making? O The standard normal. The number of trials is sufficiently large. O The standard normal. we assume the population distributions are approximately normal. O The Student's t. We assume the population distributions are approximately normal. O The Student's t. The number of trials is suffidently laroe. what is the value of the sample test statastic? (Test the difference p,…In order to conduct an experiment, 5 subjects are randomly selected from a group of 43 subjects. How many different groups of 5 subjects are possible.4. The English teacher at your school wants to randomly select students to present a scene from a Shakespeare play in class. There are four roles to fill, two for males and two for females. Describe a process that would use random numbers to select the people to contact. There are 9 males and 11 girls in this class.
- Suppose we want to estimate the proportion of the Helena population who have used marijuana within the last month. We select 4328 participants and ask them each to first privately draw a card from a standard 52-card deck. If they get a “club” they are asked to respond truthfully to the question “Have you used marijuana within the last month?”If they get any other suit they are asked to respond to the question “Does your phone number end in an odd digit?”The study is blinded in the sense that the researcher doesn’t know which question the participant is answering. Hence, participants are guaranteed anonymity and are more likely to be truthful in their responses. The researchers only get a “yes” or “no” answer from each respondent and don’t know the actual results of the card draw. What is the expected probability of a person’s phone number ending in an odd digit? What is the expected probability of a person’s phone number not ending in an odd digit?A box contains 5 balls. Two are numbered 3, one is numbered 4, and two are numbered 5. The balls re mixed and one is selected random. After a ball is selected, its number is recorded. Then it replaced. If the experiment is repeated many times, find the mean of the numbers on the balls(round off uour final answer to decimal placesQ1) Below find the records of 12 randomly selected used pickup trucks (none used commercially) and 11 randomly selected used passenger cars, the time (in years) that they were kept by the original owner before being sold: Used pickup trucks | 3 | 2.5 2.9 5 4.2 3.1 3.3 4 5.3 3.8 4.5 Used passenger cars | 2.2 3 2.8 4.3 4 3.3 2.9 2.1 2 3.1 3 It is known that the standard deviation of used pickup trucks is 2 years and of used passenger cars is 1 year. (a) Investigate, at the 5% significant level, whether the mean time (in years) that used pickup trucks were kept by the original owner before sold is larger than used passenger cars. (b) What assumption is needed to perform the test in (a). (c) Construct the 96% confidence interval for the mean difference of time (in years) were kept by the original owner before sold between used passenger cars and used pickup trucks. Use this confidence interval to tell whether there is difference in the mean time (in years) between these 2 tynes of…
- 2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:7. A random sample of 400 men and 400 women was randomly selected and asked whether they planned to attend a concert in the next month. The results are listed below. Perform a homogeneity of proportions test to test the claim that the proportion of men who plan to attend a concert in the next month is the same as the proportion of women who plan to attend a concert in the next month. Use a = 0.05. Меп Womeп Plan to attend concert 230 255 Don't plan to attend concert 170 145Suppose that it is known that a certain disease occurs in 4% of the population. Suppose also that we have a certain medical test to determine if person has this disease. The test produces a positive reading on 99.4% of those infected with the disease. Suppose that this test gives a positive result in healthy patients 2% of the time. Assume we have 100,000 random individuals that follow the above information perfectly. Determine the number of false positives. Type your numeric answer and submit A Submit Unanswered 19 nter 6 Notes Pa docx Show all
- 11.) A shipment of 11 printers contains 2 that are defective. Find the probability that a sample of 4, drawn from the 11, will not contain a defective printer.15. A box contains 18 batteries of which 2 are known to be defective. You reach in and remove 5 batteries. Find the expected number of defective ones.
