Listed is a series of experiments and associated random variables. In each case, identify the values that the random variable can assume and state whether the random variable is discrete orcontinuous.(a) Take a 30-question examination.random variable x = number of questions answered correctlyIdentify the values that the random variable can assume.0, 1, 2, ...0, 1, 2,30O x > 00 < x < 30none of theseState whether the random variable is discrete or continuous.continuousdiscrete(b) Observe cars arriving at a tollbooth for 3 minutes.random variable x = number of cars arriving at tollboothIdentify the values that the random variable can assume.О0, 1, 2, ..0, 1, 2,60x > 0O 0 (c) Audit 44 tax returns.random variable x = number of returns containing errorsIdentify the values that the random variable can assume.O 0, 1, 2, ..0, 1, 2,44.../x > 00 < x < 44none of theseState whether the random variable is discrete or continuous.continuousdiscrete(d)Observe an employee's work.random variable x = number of nonproductive hours in a nine-hour workdayIdentify the values that the random variable can assume.O 0, 1, 2, .0, 1, 2,x > 00

a) X- number of questions answered Correctly The values of the random variables can assume is…

Answered: Listed is a series of experiments and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and ? = 0.86 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is ? = 4.60 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.60 grams? Use ? = 0.10. (a) Compute the z value of the sample test statistic. (Round your answer to two decimal places.) (b) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Let a be a random variable representing the percentage of protein content for early bloom alfalfa hay. The average percentage protein content of such early bloom alfalfa should be u = 17.2%. A farmer's co-op is thinking of buying a large amount of baled hay but suspects that the hay is from a later summer cutting with lower protein content. A small amount of hay was removed from each bale of a random sample of 50 bales. The average protein content from the samples was determined by a local agricultural college to be -15.8% with a sample standard deviation of S = 5.3%- At a = .05, does this hay have lower average protein content than the early bloom alfalfa?
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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o= 0.88 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is = 4.65 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.65 grams? Use x=0.10. (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? OH μ 4.65 g; right-tailed OH = 4.65 g; H₂ μ< 4.65 g; left-tailed OH = 4.65 g; Hμ 4.65 g; two-tailed (b) What sampling distribution will you use? Explain the rationale…
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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 u = 28 ml/kgt. 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. 31 26 43 37 32 38 29 Let x be a random variable that represents Roger's red blood cell volume. Assume that x has a normal distribution and o = 4.75. Do the data indicate that Roger's red blood cell volume is different (either way) from u = 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? O Ho: H = 28 ml/kg; H,: µ > 28 ml/kg; right-tailed O Ho: H = 28 ml/kg; H,: u < 28 ml/kg; left-tailed O Họ: H + 28 ml/kg; H,: µ = 28 ml/kg; two-tailed O Ho: H = 28 ml/kg; H,: µ + 28 ml/kg; two-tailed (b) What sampling distribution will you…
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A study of alchoholism to see habit difference i man and women. A random sample of 34 men and 18 women shown on the table. What test can be suitable in this experiment if there is habit difference between women and men. 2. What statistical property is examined here 3.does the data show a difference?

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