Healthcare 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 (Current Allergy & Clinical Immunology, March, 2004). Summary statistics for a number of latex gloves used per week are  = 19.3 and s = 11.9.    Form a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy. Form a 90% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy.  Please show step by step and formula used.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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Healthcare 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 (Current Allergy & Clinical Immunology, March, 2004). Summary statistics for a number of latex gloves used per week are  = 19.3 and s = 11.9.   

  1. Form a 95% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy.
  2. Form a 90% confidence interval for the average number of latex gloves used per week by all health care workers with a latex allergy.

 Please show step by step and formula used.

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