MATH 225N Week 6 Assignment; Point Estimates, Margins of Error, and Confidence Intervals

  • MATH 225N Week 6 Assignment; Point Estimates, Margins of Error, and Confidence Intervals
  • $15.00


Term Summer 2021
Institution MATH 225N Statistical Reasoning for the Health Sciences
Contributor Patricia
  1. Question: Randomly sampled employees at an office were asked to take part in a survey about overtime. The office manager wanted to find out how many employees worked overtime in the last week. The proportion of employees that worked overtime was 0.83, with a margin of error of 0.11.

Construct a confidence interval for the proportion of employees that worked overtime in the last week.

  1. Question: Amy, a nature photographer, randomly sampled photographs she took within the last year. She wanted to find out how many of her photographs contained flowers. The proportion of photographs that had flowers was 0.61, with a margin of error of 0.04.

Construct a confidence interval for the proportion of her photographs taken within the last year contained flowers

  1. Question: A researcher is trying to estimate the population mean for a certain set of data. The sample mean is 45, and the error bound for the mean is 9, at a 99.7% confidence level. (So, x¯=45and EBM = 9.) Find and interpret the confidence interval estimate.
  2. Question: Randomly sampled math majors at a large university were asked to take part in a survey about the curriculum. The dean wanted to find out how challenging the math coursework was for students. The proportion of math majors that stated the curriculum was challenging was 0.92, with a margin of error of 0.07.

Construct a confidence interval for the proportion of math majors that stated the curriculum was challenging.

 

 

Instituition / Term
Term Summer 2021
Institution MATH 225N Statistical Reasoning for the Health Sciences
Contributor Patricia
 

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