D=4, H1:8-9. show that the sequential probability ratio test can e statistic X2, with a=0.05 and 3-0.10?
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- Assume that adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard deviation σ= 15. Find the probability that a randomly selected adult has an IQ less than 127. The probability that a randomly selected adult has an IQ less tha 127 isAssume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.The mean points obtained in an aptitude examination is 188188 points with a variance of 361361. What is the probability that the mean of the sample would be greater than 186.6186.6 points if 7373 exams are sampled? Round your answer to four decimal places.
- you should calculate the required probabilities using tables A model for normal human body temperature, X, when measured orally in F, is that it is normally distributed, X N(98.2, 0.5184). According to the model, what proportion of people have a normal body temperature of 99 F or more? (0) (i) Find the normal body temperature such that, according to the model, only 10% of people have a lower normal body temperature. (ii) Let W denote normal human body temperature, when measured orally in C. Given that W =59 (X-32) and X N(98.2, 0.5184), what is the distribution of W?Please do not give solution in image formate thanku.On a test of spatial reasoning, it is found that scores for men follow a normal distribution with mean mu = 200 and standard deviation sigma = 60 Scores for women also follow a normal distribution, but with mu = 180 and sigma = 20 What percentage of men's scores fall between 200 and 305 in the distribution (Round your answer to 2 decimal places . What is the probability that a randomly selected woman will have a score greater than 200? (Include 4 decimal places in your answer.) Suppose individuals who score in the top 5% of the distribution for their gender are eligible to receive a scholarship to a prestigious architecture program . What score would be needed for a man to earn this scholarship ? What score would be needed for a woman to earn the scholarship (described in previous question ) ? Would a score of 250 on this test be a better score for a man or a woman Explain your answer to the previous question. How did you arrive at your decision?
- Find the probability that the value of the exponential random variable with mean rate of 3.2 will be having a value lower than 0.808Assume the flying height of an airplane is a Gaussian Random variable X with ax = 5000 m and ox=2000 m. Find the probability of the airplane flying higher than 10000 m. Use the table method.H= 322 +A Q32. Explain M.G.F of poisson distribution.