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fluffykitty21
04.08.2020 •
Mathematics
The mean weight of newborn infants at a community hospital is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. Does the sample data show a significant increase in the average birthrate at a 5% level of significance?
A. Fail to reject the null hypothesis and conclude the mean is 6.6 lb.
B. Reject the null hypothesis and conclude the mean is lower than 6.6 lb.
C. Reject the null hypothesis and conclude the mean is greater than 6.6 lb.
D. Cannot calculate because the population standard deviation is unknown
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Ответ:
The correct option is A
Step-by-step explanation:
From the question we are told that
The population is![\mu = 6.6](/tpl/images/0717/2801/692ab.png)
The level of significance is![\alpha = 5\% = 0.05](/tpl/images/0717/2801/42802.png)
The sample data is 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds
The Null hypothesis is![H_o : \mu = 6.6](/tpl/images/0717/2801/0e059.png)
The Alternative hypothesis is![H_a : \mu 6.6](/tpl/images/0717/2801/48458.png)
The critical value of the level of significance obtained from the normal distribution table is
Generally the sample mean is mathematically evaluated as
substituting values
The standard deviation is mathematically evaluated as
substituting values
Generally the test statistic is mathematically evaluated as
substituting values
Looking at the value of t and
we see that
hence we fail to reject the null hypothesis
What this implies is that there is no sufficient evidence to state that the sample data show as significant increase in the average birth rate
The conclusion is that the mean is![\mu = 6.6 \ lb](/tpl/images/0717/2801/54416.png)
Ответ:
3g/4=2b
3g/8=b
So 3/8 gal will fill the entire bin.