if you drop the radius to less than that, then the Area will also drop to less than 1 unit, in this case it happens to be a decimeter
The owner of Ray’s Deli wants to find out if there is a relationship between the temperature in summer and the number of glasses
2 answers:
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if you drop the radius to less than that, then the Area will also drop to less than 1 unit, in this case it happens to be a decimeter
Answer:
And we can find the probability with the complement rule and the normal standard distirbution and we got:
Step-by-step explanation:
Let X the random variable that represent the time spent reading of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And we can use the z score formula given by:
Using this formula we got:
And we can find the probability with the complement rule and the normal standard distirbution and we got:
Answer:
The degrees of freedom first given by:
Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:
And for this case the rejection region would be:
b) Reject H0 if tcalc >1.7960
Step-by-step explanation:
Information given
5, 7, 4, 6, 7, 5, 5, 6, 4, 4, 7, 5.
System of hypothesis
We want to test if the true mean is higher than 5, the system of hypothesis are :
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
The degrees of freedom first given by:
Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:
And for this case the rejection region would be:
b) Reject H0 if tcalc >1.7960
For this case we have:
If after 2 hours the marathon runner has traveled 22 kilometers we have:
2h -----------> 22km
Applying a rule of three, we can know the time it takes to run 42km. So, we have:
2h -----------> 22km
x -------------> 42km
Where "x" is the time it takes to travel 42km. Resolving we have:
Thus, after 3.82 hours the marathon runner will travel 42km.
Answer:
3.82 hours