Given Po(3) for a sample size of 20. Find probability for sample mean a. P(X<2.5) Type your answer...
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Given Po(3) for a sample size of 20. Find probability for sample mean
a. P (X < 2.5)
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- After probability, part b is I also am asked to solve for “the mean of sampling distributionQ15. The sampling distribution of the mean is the hypothetical distribution of means from all possible samples of size n. a. TrueB. FalseC. None of the aboveSolve the last part what is the source of variability in the random variable? B. The sample size was weing
- In a survey of 500 drivers from the South, 408 wear a seat belt. In a survey of 370 drivers from the Northeast, 288 wear a seat belt. At a = 0.07, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha The claim is "the proportion of drivers who wear seat belts in the South is greater than in the Northeast." Let p, represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State Hg and H Choose the correct answer below. O B. Ho: P1 = P2 OC. Ho: P, * P2 O A. Ho: P1 > P2 H: P, SP2 H: P, *P2 Ha: P1 = P2 O D. Ho: P1 P2 OF. Ho: P1 2 P2 H,: P, OC. zWhat is the P(-2.5 < t < 2.5) with a sample size of 15 ?Illustration #2: Let X be a random variable with the following probability distribution -4 P(X=x) 0.2 0.3 0.4 0.1 30. Find the mean and variance.
- A manufacturer collected a sample of 56 bolts of cloth from a day's production. Each bolt is carefully inspected and the number of imperfections is recorded in the following table. According to the given table, mean is median is mode is (Round your answer to three decimal places if needed.) Number of imperfections 1 Number of bolts 39 9. 3 3. 2. 5.In 1995, the median price of a PC was $1200. Suppose that a random sample of100 persons who bought their PCs during that year recorded the amount spent (byeach of them) on his/her PC. State the approximate sampling distribution of ˆp, theproportion of persons who spent more than $1200 on a PC. Find the probabilitythat more than 60% of this group spent more than $1200. NOTE: Please explain each part, so the problem can be used as a Study GuideThe sampling distribution of the mean depends on the sample size. O False O true
- Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) 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 = 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 σ = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.30 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.30 grams? Use ? = 0.10. (a) What is the level of significance? (Enter a number.) State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ = 4.3 g; H1: μ > 4.3 g; right-tailed H0: μ < 4.3 g; H1: μ = 4.3 g; left-tailed…The probability that a house in an urban area will be burglarized is 5%. If 20 houses are randomly selected, what is the mean of the number of houses burglarized? O A. 0.5 OB. 10 O C. 1 O D. 1.5 CThe random variable X represents the number of cars per household in a town of 1000 households. Find the probability of randomly selecting a household that has at least one car. Please show your . Thank you.
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