Statistics homework

Anonymous
timer Asked: Nov 7th, 2016

Question description

Probability questions

tatSection 8.1 Group Problems The reading speed of second grade students is approximately normal, with a mean of 90 words per minute and a standard deviation of 10 wpm. Section 8.2 Group Problems 1) A simple random sample of size n=1460 is obtained from a population whose size N= 1,500,000 and whose population proportion with a specified characteristic is p=0.42 b) What is the probability of obtaining x = 657 or more individuals with the characteristic? a) Describe the sampling distribution of 𝑝̂ . c) What is the probability of obtaining x = 584 or fewer individuals with the characteristic? 2) According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are going in their lives is 0.82. 3) A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 50 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of 𝑝̂ , the sample proportion of adults who respond yes is approximately normal, how many more adult Americans does the researcher need to sample if (a) 10% of all adult Americans support the changes? Hint: Solve the normal condition, np(1 – p) ≥ 10, for n. (b) 20% of all adult Americans support the changes?

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