A study of iron deficiency among infants compared samples ofinfants following different feeding regimens. One group containedbreast-fed infants, while the infants in another group were fed astandard baby formula without any iron supplements. Here aresummary results on blood hemoglobin levels at 12 months of age.
Group | n | x | s |
---|
Breast-fed | 23 | 13.3 | 1.7 |
Formula | 18 | 12.6 | 1.8 |
(a)
Is there significant evidence that the mean hemoglobin level ishigher among breast-fed babies? State H0 andHa.H0:
____H0:?breast-fed >?formula; Ha:?breast-fed = ?formula
_____H0: ?breast-fed formula; Ha:?breast-fed =?formula
____H0: ?breast-fed ??formula; Ha:?breast-fed < ?formula
____H0: ?breast-fed =?formula; Ha:?breast-fed > ?formula
Carry out a t test. Give the P-value. (Use? = 0.01. Use ?breast-fed ??formula. Round your value for t tothree decimal places, and round your P-value to fourdecimal places.)
What is your conclusion?
____Reject the null hypothesis. There is significant evidencethat the mean hemoglobin level is higher among breast-fedbabies.
____Reject the null hypothesis. There is not significantevidence that the mean hemoglobin level is higher among breast-fedbabies.
____ Fail to reject the null hypothesis. There is notsignificant evidence that the mean hemoglobin level is higher amongbreast-fed babies.
____Fail to reject the null hypothesis. There is significantevidence that the mean hemoglobin level is higher among breast-fedbabies.
(b)
Give a 95% confidence interval for the mean difference inhemoglobin level between the two populations of infants. (Roundyour answers to three decimal places.)
________, _________ Answers
__C)
State the assumptions that your procedures in (a) and (b)require in order to be valid.
____We need two dependent SRSs from normalpopulations.
____We need sample sizes greater than40.
____ We need two independent SRSs from normalpopulations.
_____We need the data to be from a skeweddistribution.