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In a large class, the midterm had the average of 50 points with SD of 22. The final scores averaged out to 60 with SD of 20. The correlation between midterm as well as final scores was 0.60. The sca
A university found that the 30% of its students withdraw without completing the introductory statistics course. Suppose that 20 students registered for the course.
In a sample of 9 workers, determine the probability that exactly three workers take public transportation daily (to 4 decimals)? In a sample of 9 workers, determine the probability that at least thre
Determine the probability that a simple random sample of 40 two bedroom apartments will offer a sample mean monthly rental in +- $25 of the population mean?
The College Board American College Testing Program reported a population mean SAT score of u = 1020 (The World Almanac 2003). Assume that the population standard deviation is 100. What is the probab
A result of entry level exam reveals that 22% of students fail that exam. In hypothesis test conducted at a level of significance of 2%, a P-value of 0.0128 was obtained. Choose the best interpretat
Label and explain each step of the hypothesis testing procedure, and be sure to specify whether this is a one-tailed or two-tailed test.
A company is searching for the engineer to fill a new position. Assume that 15% of all potential applicants for the position would qualify for the personal interview. Applicants are considered seque
A class in advanced probability theory include six men and four women. An exam is given and the students are ranked according to their performance. (Suppose that no two students obtain the same mark
A chess tournament has ten competitors of which three are Russian, five are French and two are English. If the tournament result lists just the nationalities of the players in the order in which the
LA Magnet schools will accept students whose IQ scores are in the 99th percentile only. If IQ scores have the normal distribution with the mean of 100 and standard deviation of 15, Determine t
A manufacturer claims that average lifetime of a particular fuse is 1500 hours. Information from a sample of 35 fuses shows that the average lifetime is 1380.
The distribution of the bacteria in milk is roughly normal. The average bacteria count is the M = 2500 and the SD = 300. In 42 random samples of the milk determine the probability that the average b
Discuss why the Poisson approximation to the binomial would be a good choice for the random variable r. What is n? What is p? What is λ to the nearest tenth?
Among the 15 scientists working on a research project, 10 have Ph.D.'s. If four of these scientists are chosen at random to attend a convention.
How many different powerball plays are there? Leave the answer as the quotient, don't compute the final number. If a player purchased one ticket, what is the probability that he or she will hit the ja
Indicate which test you are performing; show the hypotheses, the test statistic and the critical values and mention whether one-tailed or two-tailed.
Suppose the probability of a flood in a given year at a certain place is 0.02. Thus, the probability of no flooding in a given year is 0.98.
Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from Table A-6 using a = 0.05. Is there a linear correlation between the number of
He thought that knowing the probability of serving 12 customers per 15 minutes could be helpful to him in the decision making process.
In addition to the 90% confidence interval, also find the 95% confidence interval. Compare the margin of error of the two intervals.
The time between calls to a corporate office is exponentially distributed with a mean time of 10 minutes. What is the probability of more than 3 calls in one-half hour
What proportion of people have IQ scores between 82.0 and 121.0? What proportion of people have IQ scores higher than 130.0?
For your second part, describe how your report could make a type I error and a type II error.
Considering a system with three redundant components having constant but different failure rates ?1, ?2 and ?3. Derive the R(t) and MTTF for the system.