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Elza [17]
3 years ago
9

X is greater than or equal to -7

Mathematics
1 answer:
Amanda [17]3 years ago
5 0

Answer:

x ≥ -7

Step-by-step explanation:

greater than or equal to ≥

x ≥ -7

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Suppose the standard deviation of a normal population is known to be 3, and H0 asserts that the mean is equal to 12. A random sa
blagie [28]

Answer:

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

p_v =P(z>1.9)=0.0287  

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 12 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=12.95 represent the sample mean

\sigma=3 represent the population standard deviation for the sample  

n=36 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 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)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 12, the system of hypothesis would be:  

Null hypothesis:\mu \leq 12  

Alternative hypothesis:\mu > 12  

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".  

Calculate the statistic  

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

z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

P-value  

Since is a right tailed test the p value would be:  

p_v =P(z>1.9)=0.0287  

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 12 at 5% of signficance.  

4 0
3 years ago
Read 2 more answers
Please help worth 20 points will mark brainliest
ddd [48]

Answer:

P(t)= 100t + 150

Step-by-step explanation:

If the price for 6 hours of studio time is 600 dollars, that means every hour the studio is used it costs 100 dollars. Since the fixed fee is 150 dollars, that is added to the cost of how many hours the studio is used.

I hope this helped you. If it did Brainilest is appreciated.

3 0
3 years ago
The sentence "two times the difference of -18 and 6 amounts to -48" written as an equation is ?
Gennadij [26K]
2 (-18 - 6) = -48

By order of operations (PEDMAS)  the parentheses are calculated first.
5 0
3 years ago
Please help me!
Tomtit [17]
This is how it would work to find answer

You divide 225 by 45 and the answer you would get is 5 so

 It will take 5h for the train to travel


hope this helps


3 0
3 years ago
Read 2 more answers
(10 times 2) + 5 times 8 =
DerKrebs [107]
The answer is 60 because 10 x 2 is 20 and 5 x 8 is 40 and add those together to get 60
7 0
2 years ago
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