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malikvanison
18.08.2020 •
Mathematics
Natalie and Kaiden baked a strawberry cake in their culinary arts class. They baked the cake in a rectangular pan with dimensions 4 inches×6 inches . Natalie and Kaiden decide to share the cake evenly by cutting in half along the diagonal from one corner of the pan to the other.
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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)