Hypothesis Test of the Difference Between Two INDEPENDENT Means
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Transcribed Image Text:A study of iron deficiency among infants compared different feeding regimens. One group contain breast fed infants, while the other
group received a standard baby formula without iron supplements. After six months the hemoglobin levels in the infants' blood were
measured. The table summarizes these results.
23 breast fed babies: mean hemoglobin = 13.3 with a st. dev. = 1.7, 19 formula fed babies: mean hemoglobin = 12.4 with a st. dev. =
1.8.
Sample Size
Mean
Standard Deviation
Breast fed
23
13.3
1.7
Formula Fed
19
12.4
1.58
You will be using a 95% confidence level to test the claim that breast fed babies have higher hemoglobin levels than formula fed
babies. You may assume both samples come from normally distributed populations.
*Please let the breast fed babies be sample 1 and the formula fed babies be sample 2.*
Transcribed Image Text:Question 1
The null hypothesis, Ho, is [ Select ]
[ Select ]
[ Select ]
The alternative hypothesis, H , is [ Select ]
[ Select ]
[ Select ]
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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![Question 1
The null hypothesis, Ho, is [ Select ]
[ Select ]
[ Select ]
The alternative hypothesis, H , is [ Select ]
[ Select ]
[ Select ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F179814dc-d0d7-4146-a8e8-7ff40bbb6634%2F46711319-f135-41a0-b69f-ebd79fbe7952%2Fa8xnwg5_processed.jpeg&w=3840&q=75)
