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Background:The length of human pregnancy is known to have a mean of 266 days

Background:

The length of human pregnancy is known to have a mean of 266 days

and a standard deviation of 16 days. Based on records from a large women's hospital, a random sample of 25 women who were smoking and/or drinking alcohol during their pregnancy and their pregnancy lengths are recorded in the data file linked below. Do the data provide enough evidence to support the (well-known) fact that women who smoke and/or drink alcohol during their pregnancy have shorter pregnancies than women in general (in other words, are more likely to have premature labor)?

Comment:

It is reasonable to assume that the known standard deviation of 16 days applies also to women who smoke and/or drink during their pregnancy.

Download the data here:

  • Excel: [LINK]
  • Text: [LINK]

1) State the null and alternative hypotheses, and define clearly what the parameter μ represents

2) Have the conditions that allow us to safely use the z-test been met? Support your answer with appropriate graphs, if needed.

3)Compute the test statistic (use z Compute the test statistic )and interpret its value1. Given that the tabulation meon M= 266 dy'sandpopulation " standard deviation = 6' = 16 daysandSample Size = n= 25D state the null and alternate by pothesisHere Me representstheNull...

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