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Nataliya [291]
3 years ago
13

I need help with this problem​

Mathematics
1 answer:
dexar [7]3 years ago
5 0

The answer to the equation is 15

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A cereal manufacturer produces cereal in boxes having a labeled weight of 15.7 ounces. Suppose that a random sample of 31 boxes
taurus [48]

Answer:

t=\frac{16.14-15.7}{\frac{1.18}{\sqrt{31}}}=2.076    

p_v =P(t_{(30)}>2.076)=0.0233  

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, and we can conclude that the true mean for the weigths of cereal boxes is higher than 15.7 at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=16.14 represent the sample mean

s=1.18 represent the sample standard deviation

n=31 sample size  

\mu_o =15.7 represent the value that we want to test

\alpha=0.05 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 higher than 15.7 or no, the system of hypothesis would be:  

Null hypothesis:\mu \leq 15.7  

Alternative hypothesis:\mu > 15.7  

If we analyze the size for the sample is > 30 but 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)  

Calculate the statistic

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

t=\frac{16.14-15.7}{\frac{1.18}{\sqrt{31}}}=2.076    

P-value

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

df=n-1=31-1=30  

Since is a one side test the p value would be:  

p_v =P(t_{(30)}>2.076)=0.0233  

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 toreject the null hypothesis, and we can conclude that the true mean for the weigths of cereal boxes is higher than 15.7 at 5% of signficance.  

4 0
3 years ago
Robert drove at an average speed of 60 miles per hour for 6 hours. Nancy drove for 7 hours at an average speed of 56 miles per h
g100num [7]
A)1. 60/6=10
2. 56/7=8
3. 10-8=2

B)1.10
2.8
3.10+8=18

C)1. 360
2.392
3. 360+392=752

D)1. 360
2. 392
3. 360-392=-32
8 0
3 years ago
I don't get prime and composite please send me an example
Neko [114]
2 IS THE ONLY EVEN PRIME NUMBER   a prime number can only be divided by 1 or itself. 4 is a composite and 5 is a prime  hope this helps you.
4 0
3 years ago
Read 2 more answers
3x(-2x)8(-2)=30 what value of x makes the equation true.<br><br> A. 24<br> B.26<br> C.5<br> D.6
Leokris [45]

Answer:

Step-by-step explanation:

5 0
3 years ago
Washing his dad's car alone, eight-year-old Levi takes 2.5 hours. If his dad helps him, then it takes 1 hour. How long does it t
Dmitry [639]

Answer:

Levi's dad takes 1.67 hours to wash the car by himself

Step-by-step explanation:

* Lets explain how to solve the problem

- Levi takes 2.5 hours to wash his dad's car alone

- Levi and his dad take 1 hour to wash the dad's car together

∵ Levi takes 2.5 hours to wash the car alone

∴ The rate of Levi is 1/2.5 car/hr

∵ His dad takes x hours to wash the car alone

∴ The rate of his dad is 1/x car/hr

∵ They working together for 1 hour to wash the car

- The equation of the work is rate of Levi × t + rate of his dad × t = 1

∵ t is the time of working together

∵ t = 1 hour

∴ \frac{1}{2.5}(1)+\frac{1}{x}(1)=1========\frac{1}{2.5}+\frac{1}{x}=1

- Multiply both sides by 2.5x to cancel the denominators

∵ \frac{1}{2.5}(2.5x)=x=====\frac{1}{x}(2.5x)=2.5

∵ 1 × (2.5x) = 2.5x

∴ x + 2.5 = 2.5x

- Subtract x from both sides

∴ 2.5 = 1.5x

- Divide both sides by 1.5

∴ x = 5/3 ≅ 1.67

∵ x is the the time of his dad to wash the car alone

∴ Levi's dad takes 1.67 hours to wash the car by himself

3 0
3 years ago
Read 2 more answers
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