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Alla [95]
2 years ago
11

Help me here please

Mathematics
1 answer:
Goshia [24]2 years ago
3 0
Hi, I hope this will help you answer the problem

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A average amount of money on deposit in a savings account is $7500. Suppose a random sample of 49 accounts shows the average in
Valentin [98]

Answer:  

z=-3.79

p_v =2*P(z  

Step-by-step explanation:  

1) Data given and notation  

\bar X=6850 represent the mean average amount of money on deposit in savings account for the sample  

\sigma=1200 represent the population standard deviation for the sample  

n=49 sample size  

\mu_o =7500 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

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

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean for the amount of money on deposit in savings account differs from 7500, the system of hypothesis would be:  

Null hypothesis:\mu =7500  

Alternative hypothesis:\mu \neq 7500  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-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".  

3) Calculate the statistic  

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

z=\frac{6850-7500}{\frac{1200}{\sqrt{49}}}=-3.79  

4)P-value  

Since is a two-sided test the p value would be:  

p_v =2*P(z  

5) Conclusion  

If we compare the p value and the significance level given \alpha=0.01 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 average amount of money deposit in savings account its significantly different from 7500 tons at 1% of signficance.  

7 0
3 years ago
Find the measure of angle A. ​
ioda
-30 i believe. If it’s wrong sorry
4 0
3 years ago
Total pay before deductions is known as .<br><br> net pay <br><br> gross pay<br><br> total pay
Effectus [21]
Gross pay.................
6 0
3 years ago
Read 2 more answers
A number minus 6 is few then 8
Alexandra [31]
7 I think is you answer
7 0
3 years ago
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Veronica teaches French in groups of four students. She rents a room for $200 per month. She charges $45 per hour per student. V
alexandr402 [8]
<span>of the task , we know that :
</span>
profit netto = $ 6100
<span>influenza students = 7
</span>hourly rate for one lesson of the French language  = $45

<span>we do not know about
</span>
profit brutto = ?    <span>denoted as x

</span><span>the amount collected lessons
for one student = ?    denoted as y

x = $6100 + $200
</span>y =  \frac{x}{45*7}
<span>
</span>\left \{ {{x=6300} \atop {y= \frac{6300}{315} =2}} \right.
<span>
2 away

</span>y =  \frac{6100 + 200}{45 * 7}  = 2<span>
</span>
4 0
3 years ago
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