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umka2103 [35]
3 years ago
6

1. The math team held several fund-raising activities during the school year. Some

Mathematics
1 answer:
Alika [10]3 years ago
3 0
Have fun with me taking points
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According to the Census Bureau, 3.39 people reside in the typical American household. A sample of 26 households in Arizona retir
Vikki [24]

Answer:

t=\frac{2.73-3.39}{\frac{1.22}{\sqrt{26}}}=-2.758    

df=n-1=26-1=25  

p_v =P(t_{(25)}  

Since the p value is lower than the significance level 0.1 we have enough evidence to reject the null hypothesis, and we can conclude that the true mean is significanlty lower than 3.39 personas at 10% of significance.

Step-by-step explanation:

Data given and notation  

\bar X=2.73 represent the sample mean

s=1.22 represent the sample standard deviation

n=26 sample size  

\mu_o =3.39 represent the value that we want to test

\alpha=0.1 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)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is less than 3.39 persons, the system of hypothesis would be:  

Null hypothesis:\mu \geq 3.39  

Alternative hypothesis:\mu < 3.39  

The statistic is given by:

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

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{2.73-3.39}{\frac{1.22}{\sqrt{26}}}=-2.758    

P-value

The degreed of freedom are given by:

df=n-1=26-1=25  

Since is a one sided lower test the p value would be:  

p_v =P(t_{(25)}  

Conclusion  

Since the p value is lower than the significance level 0.1 we have enough evidence to reject the null hypothesis, and we can conclude that the true mean is significanlty lower than 3.39 personas at 10% of significance.

3 0
3 years ago
The value of the digit 2 in 425.3 is
mr_godi [17]

The answer for this question is 20.0

6 0
2 years ago
For each expression, use the distributive property to
love history [14]

Answer:

1. 4x + 8

2. 14x

3. 8x + 12

4. 6x + 6y + 6z

Step-by-step explanation:

you pretty much take the number on the outside and multiply on by one with numbers on the inside.

4 0
3 years ago
How comes proofs are so hard
Mama L [17]
They get easier once you keep doing them, It took me a little while to learn.

Do you have a exact question? I can help you
8 0
3 years ago
Suppose a simple random sample of size nequals49 is obtained from a population with mu equals 78 and sigma equals 28.
VLD [36.1K]

Answer:

0.0735,0.0179,0.7026

Step-by-step explanation:

Given that a simple random sample of size nequals 49 is obtained from a population with mu equals 78 and sigma equals 28.

Sample size = 49

Population mean = 78

Population std deviation = 28

Std error of sample mean = \frac{\sigma}{\sqrt{n} } \\=4

a) \bar x: N(78, 4)

b) P(\bar x >83.8)\\=0.0735

(by converting to Z and finding value from Z table)

c) P (x overbar less than or equals 69.6 )​

=P(\bar x \leq 69.6)\\=0.0179

d) P (75.8 less than x overbar less than 88 )

=P(75.8

4 0
3 years ago
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