gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Symptoms of a latex allergy include conjunctivitis, hand eczema, nasal congestion, a skin rash, and shortness of breath. Each in a sample of 46 hospital employees who were diagnosed with latex allergy based on a skin-prick test reported on their exposure to latex gloves. Summary statistics for the number of latex gloves used per week are ¯xx¯ = 19.3 and s = 11.9. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy. Form a 95% confidence interval for the average number of latex gloves used per week by

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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Health care workers who use latex gloves with glove powder on a daily basis are particularly susceptible to developing a latex allergy. Symptoms of a latex allergy include conjunctivitis, hand eczema, nasal congestion, a skin rash, and shortness of breath. Each in a sample of 46 hospital employees who were diagnosed with latex allergy based on a skin-prick test reported on their exposure to latex gloves. Summary statistics for the number of latex gloves used per week are ¯xx¯ = 19.3 and s = 11.9.

  1. Give a point estimate for the average number of latex gloves used per week by all health care workers with a latex allergy.
  2. Form a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy.
  3. Give a practical interpretation of the interval you found in part b.
  4. Give the conditions required for the interval in part b to be valid.

 

Expert Solution
Step 1

We have given that 

Sample size n =46

Sample mean =19.3

Sample standard deviation =11.9

95% confidence interval. 

 

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