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A Suppose you are told that a 95% confidence interval

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A Suppose you are told that a 95% confidence interval for the average price of a

gallon of regular gasoline in your state is from $3.35 to $3.80. Use the fact that the confidence interval for the mean is in the form x − E to x + E to compute the sample mean and the maximal margin of error E. (Round your answers to two decimal places.)

x = $

E = $

B A research group conducted an extensive survey of 2933 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, “What does success mean to you?” 1500 responded, “Personal satisfaction from doing a good job.” Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find a 90% confidence interval for p. (Round your answers to three decimal places.)

What are the upper and lower limits?

 
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how do i compute lower limit and upper limit?

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how do i compute lower limit and upper limit?
Three-circle, red-on-white is one distinctive

pattern painted on ceramic vessels of the Anasazi period found at an archaeological site. At one excavation, a sample of 171 potsherds indicated that 68 were of the three-circle, red-on-white pattern.

(a) Find a point estimate p̂ for the proportion of all ceramic potsherds at this site that are of the three-circle, red-on-white pattern. (Round your answer to four decimal places.)

(b) Compute a 95% confidence interval for the population proportion p of all ceramic potsherds with this distinctive pattern found at the site. (Round your answers to three decimal places.)

lower limit    

upper limit  

 
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please help with finding upper limit and lower limit

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please help with finding upper limit and lower limit how to solve
Three experiments

investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administering a “need for closure scale” to a group of students enrolled in an introductory psychology course. The “need for closure scale” has scores ranging from 101 to 201. For the 66 students in the highest quartile of the distribution, the mean score was x = 178.30. Assume a population standard deviation of σ = 8.17. These students were all classified as high on their need for closure. Assume that the 66 students represent a random sample of all students who are classified as high on their need for closure. Find a 95% confidence interval for the population mean score μ on the “need for closure scale” for all students with a high need for closure. (Round your answers to two decimal places.)

lower limit    

upper limit  

 
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could you give me a breakdown of these problems

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could you give me a breakdown of these problems please and how it can be

solved?

A research group conducted an extensive survey of 2905 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, “What does success mean to you?” 1515 responded, “Personal satisfaction from doing a good job.” Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find a 90% confidence interval for p. (Round your answers to three decimal places.)

lower limit    

upper limit

  1. The personnel office at a large electronics firm regularly schedules job interviews and maintains records of the interviews. From the past records, they have found that the length of a first interview is normally distributed, with mean μ = 34 minutes and standard deviation σ = 9 minutes. (Round your answers to four decimal places.)

(a) What is the probability that a first interview will last 40 minutes or longer?

(b) Six first interviews are usually scheduled per day. What is the probability that the average length of time for the six interviews will be 40 minutes or longer?

 
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