A hypothesis regarding the weight of newborn infants at community hospital is th

Question

A hypothesis regarding the weight of newborn infants at community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded. The sample mean is 7.6 pounds and the sample standard deviation is 1.177 pounds. They wish to test whether the mean weight of infants has increased. What is the decision if the level of significance is .05?

A) Fail to reject the null hypothesis.

B) Cannot calculate because the population standard deviation is unknown.

C) Reject the null hypothesis and conclude the mean is higher than 6.6 lb.

D) Reject the null hypothesis and conclude the mean is lower than 6.6 lb.

Explanation / Answer

t = Xbar - Mu / (s/sqrt(n))

=(7.6-6.6)/(1.177/sqrt(7)) = 2.25

At df = 7-1 = 6, and t = 2.25

The P-Value is .032721.

The result is significant at p < .05. We reject null hypothesis as pvalue > .05

So, option C is the right option

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