Confidence Intervals. For each of the following problems include the confidence interval (don't forget units) and answer the follow-up question.   Nordstrom's CEO claims that its customers, on average, spend 15 minutes in the shoe department.  You do an observational study of 50 customers in the Corte Madera Nordstrom's and find that the mean amount of time these customers spend is 12 minutes with a standard deviation of five minutes.  Construct a 90% confidence interval for the mean amount of time Corte Madera Nordstrom's shoppers spend in the shoe department.  Does your confidence interval support or refute the CEO's claim?  Explain. Your cousin in New York says, "everyone here has had COVID."  You don't think that's true and get an SRS of 130 Marin County residents and find 98 of them have had COVID.  Construct a 95% confidence interval for the proportion of Marin County that has had COVID.  According to the Institute of Health Metrics and Evaluation,  82 percent of Americans have been infected with the coronavirus at least once. How does your interval compare to that percent? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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Confidence Intervals. For each of the following problems include the confidence interval (don't forget units) and answer the follow-up question.  

  1. Nordstrom's CEO claims that its customers, on average, spend 15 minutes in the shoe department.  You do an observational study of 50 customers in the Corte Madera Nordstrom's and find that the mean amount of time these customers spend is 12 minutes with a standard deviation of five minutes.  Construct a 90% confidence interval for the mean amount of time Corte Madera Nordstrom's shoppers spend in the shoe department.  Does your confidence interval support or refute the CEO's claim?  Explain.
  2. Your cousin in New York says, "everyone here has had COVID."  You don't think that's true and get an SRS of 130 Marin County residents and find 98 of them have had COVID.  Construct a 95% confidence interval for the proportion of Marin County that has had COVID.  According to the Institute of Health Metrics and Evaluation,  82 percent of Americans have been infected with the coronavirus at least once. How does your interval compare to that percent? Explain.
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