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djverab [1.8K]
3 years ago
5

There were 12,351 visitors to a history center last year. What is this number rounded to the nearest hundred

Mathematics
1 answer:
Goshia [24]3 years ago
4 0
A 3 is in the 100's place a 50 in the ten's place and a 1 in the one's place. When rounded to the nearest 100's place the new answer is 12400
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A random sample of 25 ACME employees showed the average number of vacation days taken during the year is 18.3 days with a standa
Norma-Jean [14]

Answer:

a) Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

b) df=n-1=25-1=24  

For this case the p value is given p_v = 0.0392

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 5% of signficance.  

c) Type I error, also known as a “false positive” is the error of rejecting a null  hypothesis when it is actually true. Can be interpreted as the error of no reject an  alternative hypothesis when the results can be  attributed not to the reality.

So for this case a type I of error would be reject the hypothesis that the true mean is less or equal than 15 and is actually true.

Step-by-step explanation:

Data given and notation  

\bar X=18.3 represent the sample mean

s=3.72 represent the sample standard deviation

n=25 sample size  

\mu_o =15 represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean for vacation days is higher than 15, the system of hypothesis would be:  

Null hypothesis:\mu \leq 15  

Alternative hypothesis:\mu > 15  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Part b: P-value  and conclusion

The first step is calculate the degrees of freedom, on this case:  

df=n-1=25-1=24  

For this case the p value is given p_v = 0.0392

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 15 at 5% of signficance.  

Part c

Type I error, also known as a “false positive” is the error of rejecting a null  hypothesis when it is actually true. Can be interpreted as the error of no reject an  alternative hypothesis when the results can be  attributed not to the reality.

So for this case a type I of error would be reject the hypothesis that the true mean is less or equal than 15 and is actually true.

3 0
2 years ago
What is the volume of a rectangle prism that has a length of 2cm width of 3cm and a height of 5cm
nexus9112 [7]

Answer:

30

Step-by-step explanation:

V=lwh

V=2*3*5

V=6*5

V=30

4 0
3 years ago
Read 2 more answers
510
Hoochie [10]

Answer:

$574.41

Step-by-step explanation:

multiply 30 by dollar to pesos

6 0
3 years ago
2,236.8 to the nearest ten
german

Answer:

Already rounded to the nearest tenth.

2236.8

Step-by-step explanation: k

6 0
3 years ago
Read 2 more answers
Josiah, the manager of a pet store, bought 72 oz of water conditioner to use in his fish tanks. His small tanks would require 2
kodGreya [7K]
If we are going to analyze the problem very well, the equation that we will be able to make would be: 2x + 6y = 72

72 is the oz of water conditioner to use in his fish tanks.

small tanks would require 2 oz of conditioner

 large tanks would require 6 oz of conditioner

There is only one point which satisfy's the above equation.That is the points of (0, 12) and (36, 0)
6 0
3 years ago
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