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IgorLugansk [536]
3 years ago
6

Alina has 3/2 hours to complete her homework. She plans to split apart rhentime equally between 3 assignments. Which expression

represents the time Alina will spend on each assignment?
A. 3 divided by 3/2
B. 3/2 minus 3
C. 3/2 divided by 3
D. 3 divided by 1/2
Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0
C. 3/2 divided by 3

Alina has 3/2 hours to complete her homework. She should divide her 3/2 hours by the 3 assignments to determine how much time she will spend on each assignment. This turns out to be 1/2 hours, or 30 minutes, on each assignment. 3/2 hours is the same thing as 90 minutes, so this answer makes sense. We want the time to be divided by the number of assignments, not vice versa.
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Answer:

The null and alternative hypotheses are:

H_{0}:\mu= 50.07

H_{a}:\mu>50.07

Under the null hypothesis, the test statistic is:

t=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}} }

Where:

\bar{x} = 52.86 is the sample mean

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\therefore t=\frac{52.86-50.07}{\frac{7.0132}{\sqrt{10}} }    

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Now, the right tailed t critical value at 0.05 significance level for df = n-1 = 10-1 = 9 is:

t_{critical}=1.833

Since the t statistic is less than the t critical value at 0.05 significance level, therefore,we fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the average phone bill has increased.


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