Confidence interval for the difference between site

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Reference no: EM132167167

A drug manufacturer is investigating if the drug content in their pills differs between two manufacturing locations: Site 1 and Site 2. Use subscripts 1 and 2 to refer to Site 1 and Site 2, respectively.

Site 1 Site 2

Mean 89 mg 89.5 mg

Standard deviation 3 mg 7 mg

Sample size 25 25

  • Construct the correct null and alternate hypotheses. You will use α = 0.01 when conducting this hypothesis test.
  • What would the critical value be if the hypothesis test were one-sided? Answer as a positive value to three decimal places.
  • What would the critical value be if the hypothesis test were two-sided? Answer as a positive value to three decimal places.
  • What is the value of the test statistic? Answer to three decimal places.

The confidence interval for the difference between site 1 and site 2 is found to be (-4.8, 3.8). Fill in the blanks below to make the sentence correct. There is (sufficient/ not sufficient) evidence that there is a difference between the two sites because the value (-0.5/0/0.5) (is included/ is not included) in the confidence interval.

Reference no: EM132167167

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