Compared to the F distribution, the t distribution has?
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Compared to the F distribution, the t distribution has?
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- Using The F Distribution Table, find the P -value interval for a right-tailed F test, with F=1.42, d.f.N. =24, and d.f.D. =27 . The P-value interval isConsider a t-distribution with 9 degrees of freedom. Find to.34.Aleks spins a 9 sided spinner 56 times. Each of the nine sides has a different colour on it. He records the number of times that he spins the colour purple. Is it reasonable to approximate this distribution with a normal distribution? Give a reason.
- The lengths of your statistics class has a continuous uniform distribution between 46 minutes and 58 minutes. Let X be the length of a class in minutes. If one section is randomly selected, answer the following questions What is the distribution of X? What is the probability that the class is at most 55 minutes long? What is the probability that the class is less than 51 minutes or more than 56 minutes long?Customers of a restaurant have been complaining about food poisoning over the past week. A health professional was called to investigate. She tested a representative sample of the eggs and reported that 24% of the sample eggs tested positive for the salmonella bacterium. If a second health professional tests 66 eggs at random, what is the probability that exactly 14 test positive for salmonella? Use a normal distribution to approximate the answer and write it as a decimal rounded to the nearest hundredth.According to a recent survey of 1400 people, 65% feel that the president is doing an acceptable job. We are interested in the population proportion of people who feel the president is doing an acceptable job. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Please label each part
- Which of the following distributions would be most likely to have a tail, and why? A. The GPAs of NMSU students, because some students have a 4.0. B. Class scores on a quiz, with 10 points possible, because the most common scores are 7, 8, and 9. C. The time it takes to install a new piece of computer software, because usually it’s quick, but occasionally it takes hours or even days. D. The amount of money you spend each month on food, because food prices change a little from day to day, and sometimes things are on sale.B. Explain the following: 1. What is a t-distribution? 2. When is a z-test and the t-test used?Find the m.g.f of uniform distribution and hence find its mean and variance.
