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4. Two baby-food manufacturers are competing, and manu- facturer of brand A believes that their brand causes more weight gain in infants than...

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help with question 4 part c-d. please show work to answers

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1 . Two baby -food manufacturers are competing , and manu
facturer of b rand A believes that their brand causes more
weight gain in infants than manufacturer of brand B . A
sample of size 15 fed their babies brand A for two months
and saw an average weight gain of 36.93 ounces , with a
standard deviation of 4 . 23 ounces . A sample of size 25
fed their babies brand B and saw an average weight gain
of 31 36 ounces with a standard deviation of 3 .35 ounces
Assume the standard deviations reported are true popu
lation values
( a ) Create a 95% confidence interval for the difference in
weight gain between the two baby food brands
( b ) Interpret your interval from ( a ) in terms of the prob -
Tem
( C ) Do we know the probability that the true difference
in averages lies within the interval calculate in ( a ) ?
Explain
( d ) What assumptions did we need to make for this con
fidence interval , and why ?

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