Julie and Eric row their boat (at a constant speed) downstream for 40 miles in 4 hours, helped by the current. Rowing at the sam
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Hi there!
In order to fin the average, you need to add all the terms together and then divide the result by the number of terms :
() ÷ 2 = average
Now, I’m assuming that you know that in order to add fractions, both fractions must have the same denominator (bottom number in a fraction). Since these fractions do not have the same denominator, we must give them one.
To find the lowest common denominator (which will help us solve this problem), we must find out what 2 & 3 go into. Well, both numbers go into 6!
So, if the denominator is now 6, you must multiply the numerator (numbers about the “/” line in this case are both 1) by how much you multiplied its denominator by.
For 1/2, you multiplied 2 by 3 to get 6. Therefore, you must multiply the 1 by 3 aswell.
for 1/3, you multiplied 3 by 2 to get 6. Therefore, you must multiply the 1 by 2.
and now you have 3/6+2/6 since the denominators are the same, you can add the numerators normally which gives you 5/6
÷ 2 =
Your answer is :
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
The 99% confidence interval would be given by (0.697;0.903)
And the best option is : 0.697 to 0.903
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
For this case the conditions we have the conditions to assume a normal distribution for the population proportion since:
np=100*0.8=80 >10 , n(1-p) = 10*(1-0.8) =20 >10
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
The estimated proportion is given by . If we replace the values obtained we got:
The 99% confidence interval would be given by (0.697;0.903)
And the best option is : 0.697 to 0.903