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babymother [125]
3 years ago
14

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
slava [35]3 years ago
4 0

Answer: Where is the picture?

Step-by-step explanation:

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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
Billy did a survey to answer the following question:
kogti [31]

Answer:

7.8

Step-by-step explanation:

Since the average is 7.8 and everyone scored the same score so

that means everyone scored a 7.8

4 0
2 years ago
PLS HELP .........................
Otrada [13]

Answer:

I believe the answer is C :)

Step-by-step explanation:

5 0
2 years ago
Without multiplying, tell whether the product 0.644 x 0.25 will be greater than 1 or less than 1? Explain how you know.
stepladder [879]

Answer:

Less than 1

Step-by-step explanation:

As 0.644 and 0.25 are less than 1, then

0.644=\frac{1}{p}

0.25=\frac{1}{q}

where p and q are greater than 1

then

0.644\times0.24=\frac{1}{p.q}

But p.q is greater than 1, so 1/(p.q) is smaller than 1

7 0
2 years ago
Read 2 more answers
A kitten's weight increase by 12% each week for 4 mouths the little currently weighs 2.6 pounds which will not calculate how muc
krok68 [10]

Answer:

a. 2.6(0.12)

Step-by-step explanation:

Check all of the other answers: b. c. and d. are variations of equations that equal to 2.912. 2.6(0.12) is not the correct equation because it equals to 0.312. The kitten‘s weight must increase, so that is the incorrect equation.

5 0
2 years ago
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