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Lesechka [4]
3 years ago
10

Is smoking during pregnancy associated with premature births? To investigate this question, researchers selected a random sample

of 128 pregnant women who were smokers. The average pregnancy length for this sample of smokers was 265 days. From a large body of research, it is known that length of human pregnancy has a standard deviation of 16 days. The researchers assume that smoking does not affect the variability in pregnancy length. Find the 90% confidence interval to estimate the length of pregnancy for women who smoke. (Note: The critical z -value to use, z c , is: 1.645) ( , ) Your answer should be rounded to 3 decimal places.
Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

Confidence interval is 128±2.326 days (between 125.674 days and 130.326 days) in 90% confidence level

Step-by-step explanation:

Confidence interval can be calculated as M±ME where

  • M is the average pregnancy days of smoking women and
  • ME is the margin of error in 90% confidence level.

Margin of Error in 90% confidence level can be calculated using the formula:

ME=\frac{z*s}{\sqrt{N} } where

  • z is the z-value in 90% confidence level (1.645)
  • s is the standard deviation of pregnancy length (16)
  • N is the sample size (128)

putting these  numbers in the formula, we get:

ME=\frac{1.645*16}{\sqrt{128} } =2.326

then confidence interval is 128±2.326 ( between 125.674 and 130.326 ) in 90% confidence level

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