In: Statistics and Probability
Show ALL work including steps used during computations
using formulas and diagrams when appropriate. Write a statement
explaining the meaning of your computations (conclusions) for all
problems- hypothesis tests and confidence intervals.
Given below are the birth weights of babies born to mothers who
took special vitamin supplements while pregnant:
3.53 4.57 3.93 4.33 3.39 3.68 4.68 3.52 3.84
3.12 4.29 2.27 4.13 4.47 3.22 3.43 2.64 3.40
a. Make a 95% confidence interval for the mean weight of babies whose mothers take vitamin supplements.
b. Do a hypothesis test to determine if these babies weight is more than the mean weight for the population of all babies which is 3.39 kg using α = .025
c. In a short paragraph, describe the relationship between your answer to part (a) and your answer to part (b).
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