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ivanzaharov [21]
3 years ago
13

PLEASE HELP!!!! I WILL GIVE BRAINLIEST!!!!

Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0
1.not first one because Bella's rate is 3.5 and Sweet T's is 2
2. 3.5*5+11=17.5+11=28.5 -after doing 5 chores - for Bella
   after 5 chores (for Sweet T's)  20
not this one
3. y =ax +b
for Sweet T: d=2c+b, (1,12),  12=2*1+b,  b=10 , d=2c+10,
when c=0 ,d=10 initial saving for Sweet T
for Bella : d=3.5c+11, when c=0 , d=11 initial saving
initial saving of Bella is more 11>10
so not this one
4. so we have only one left, Bella saves per chore 3.5 and Sweet T saves per
 chore 2. Bella save more per chore than Sweet T
this should should be correct answer


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p_v =2*P(Z>2)=0.0455  

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Step-by-step explanation:

Data given and notation  

\bar X=25 represent the sample mean

\sigma=2 represent the sample population deviation for the sample  

n=16 sample size  

\mu_o =24 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 different from 24, the system of hypothesis would be:  

Null hypothesis:\mu = 24  

Alternative hypothesis:\mu \neq 24  

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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{25-24}{\frac{2}{\sqrt{16}}}=2    

P-value

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

p_v =2*P(Z>2)=0.0455  

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, and we can conclude that the true mean differs from 24 at 5% of significance

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Answer:

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