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Leviafan [203]
2 years ago
14

Last year Sandy earned

Mathematics
1 answer:
andreev551 [17]2 years ago
5 0
21,758 is the answer
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Using traditional methods, it takes 10.1 hours to receive a basic driving license. A new license training method using Computer
Law Incorporation [45]

Answer:

We need to conduct a hypothesis in order to check if the technique performs differently than the traditional method, the system of hypothesis would be:  

Null hypothesis:\mu =10.1  

Alternative hypothesis:\mu \neq 10.1

t=\frac{10.5-10.1}{\frac{1.4}{\sqrt{12}}}=0.990    

p_v =2*P(t_{(11)}>0.990)=0.343    

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL  reject the null hypothesis, so we can't conclude that the technique performs differently than the traditional method at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=10.5 represent the sample mean

s=1.4 represent the sample standard deviation

n=12 sample size  

\mu_o =10.1 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 technique performs differently than the traditional method, the system of hypothesis would be:  

Null hypothesis:\mu =10.1  

Alternative hypothesis:\mu \neq 10.1  

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".  

Calculate the statistic

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

t=\frac{10.5-10.1}{\frac{1.4}{\sqrt{12}}}=0.990    

P-value

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

df=n-1=12-1=11  

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

p_v =2*P(t_{(11)}>0.990)=0.343  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL  reject the null hypothesis, so we can't conclude that the technique performs differently than the traditional method at 10% of signficance.  

7 0
3 years ago
Find the value for β that makes cosβ = sin15 true.
Gemiola [76]

Answer:

Step-by-step explanation:

This is an equation for which you need to solve for the value of the missing angle beta.

cos\beta =sin(15)

sin(15) has a decimal answer that you will find on your calculator.  Finding that value makes this equation then

cosβ = .2588190451

Now use the 2nd button and then the cos button to find the angle that has a cos of that decimal.  When you hit 2nd then cos, you should see this on your screen:

cos⁻¹ (

After that open parenthesis, enter you decimal then hit the enter button to find the angle.  You should get 75, which is Choice B.

8 0
3 years ago
Roll 1 Die 1000 times by pressing the "Roll 100 Sets" button ten times. Then do the same for Roll 3 Dice and Roll 12 Dice. Which
Rom4ik [11]

Answer:

all three sampling distributions appear to follow the normal distribution

Step-by-step explanation:

Sampling distribtuions follow a normal distribution.

6 0
3 years ago
Read 2 more answers
Determine the x-intercept, y-intercept and slope of the line described by - 3x + 7y = –21 (Which is not proper Standard Form bec
inessss [21]

Slope = 3/7

y - intercept: y = -3

x - intercept x = 7

6 0
3 years ago
6. The current temperature in Chicago, Illinois is -8° F.
lina2011 [118]
I think the answer is a
3 0
3 years ago
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