A random variable X denotes the number of consumers in a sample of 300 who favor a particular product over all competitors. What are the possible values of X?
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- Suppose x is a uniform random variable with a = 20 and b = 60. Find the probability that a randomly selected observation exceeds 52Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about ? = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 32 27 39 36 31 37 31 Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and ? = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from ? = 28 ml/kg? Use a 0.01 level of significance. (a) What is the level of significance?State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: ? = 28 ml/kg; H1: ? > 28 ml/kg; right-tailed H0: ? ≠ 28 ml/kg; H1: ? = 28 ml/kg; two-tailed H0: ? = 28 ml/kg; H1: ? ≠ 28 ml/kg; two-tailed H0: ? = 28 ml/kg; H1: ? < 28 ml/kg; left-tailed (b) What sampling distribution…Academy for Science, Technology & Maritime Transport Compute the variance of random variable, Y. Y 1 P(Y) 0.25 0.5 0.25 Select one: a. 0.34 b. 0.5 C. 0.25 d. 0.7 Type here to search
- Researchers studying starfish collected two independent random samples of 40 starfish. One sample came from an ocean area in the north, and the other sample came from an ocean area in the south. Of the 40 starfish from the north, 6 were found to be over 8 inches in length. Of the 40 starfish from the south, 11 were found to be over 8 inches in length. Which of the following is the test statistic for the appropriate test to investigate whether there is a difference in proportion of starfish over 8 inches in length in the two ocean areas (north minus south) ? 6−11640+1140√ A 6−110.1540+0.27540√ B 0.15−0.275(0.15)(0.275)(140+140)√ C 0.15−0.275(0.2125)(0.7875)(140+140)√ D 0.15−0.275(0.2125)(0.7875)140+140√A random sample of 100 items is selected from a population of size 350. What is the probability that the sample mean will exceed 200 if the population mean is 195 and the population standard deviation equals 20?a-d
- In a study, it was found that 42.5% of the population drink soda at least once a day. You randomly select 8 people. Let X be the number of people in the sample that drink soda at least once a day.Then X has what distribution?Total blood volume (in ml) per body weight (in kg) is important in medical research. For healthy adults, the red blood cell volume mean is about μ = 28 ml/kg.† Red blood cell volume that is too low or too high can indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 34 26 40 37 28 36 29 Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and σ = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from μ = 28 ml/kg? Use a 0.01 level of significance. (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume that x has a normal distribution with known σ.The Student's t, since n is large with unknown σ. The standard normal, since we assume that x has a normal distribution with unknown σ.The Student's t, since we assume that x…How do you describe a discrete random variable?
- You decided to plant roses. The probability that a planted roses seedgerminates is 0.80. You plant nine seeds and let the binomial random variable X denotes the number ofroses seeds that successfully germinate. What is the average number of roses you could expect togerminate? What is the variance and standard deviation of X?nd markers without ink. Assume that the box contains 17 markers: 12 that contain ink and 5 tha ontain ink. A sample of 8 markers is selected and a random variable Y is defined as the number arkers selected which do not have ink. ow many different values are possible for the random variable Y? Part 2Suppose that a random variable X can take the values {0, 1, 2 ,3,4,5,8,9} all with equal probability. Then the standard deviation of X.* Your answer