The water quality in a popular bay was tested for heavy metal contamination. The average heavy metal concentration from a sample of 36 different locations is 3 grams per millilitre with a standard deviation of 0.5. What is the margin of error (in two decimal places) if the confidence level used is 95%? Confidence Level 1−α Significance Level α α/2 zα/2 90% = 0.90 0.10 0.05 1.645 95% = 0.95 0.05 0.025 1.96 98% = 0.98 0.02 0.01 2.33 99% = 0.99 0.01 0.005 2.576       What is the lower limit(two decimal places) of the 95% confidence interval? What is the upper limit(two decimal places) of the 95% confidence interval?

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The water quality in a popular bay was tested for heavy metal contamination. The average heavy metal concentration from a sample of 36 different locations is 3 grams per millilitre with a standard deviation of 0.5.

  1. What is the margin of error (in two decimal places) if the confidence level used is 95%?

Confidence Level 1−α

Significance Level α

α/2

zα/2

90% = 0.90

0.10

0.05

1.645

95% = 0.95

0.05

0.025

1.96

98% = 0.98

0.02

0.01

2.33

99% = 0.99

0.01

0.005

2.576

 

 

 

  1. What is the lower limit(two decimal places) of the 95% confidence interval?
  2. What is the upper limit(two decimal places) of the 95% confidence interval?
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