Answer:
And rounded up we have that n=3382
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
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 98% of confidence, our significance level would be given by and . And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Since we don't have prior information for the estimated proportion we can assume . And replacing into equation (b) the values from part a we got:
And rounded up we have that n=3382
Take an example: The salary per hour:
Assume x (variable) is the number of hours worked and assume THAT THE RATE PER HOUR IS $10, then:
If you work x hours at the hourly rate of$10, you will generate an income,
say, y that is equal the number of hours worked by the rate per hour, that is:
y = 10.x. The more hour(x) you work, the more income(y) you get.
Hence we created a relationship between y and x , or in English, between the earning and the number of hours worked.
Moreover y depends on x, if there is no x, there is no y and if x increases, y increases. However x is an INDEPENDENT variable because you can
give to x any number & y will follow
Answer:
s = 4
Step-by-step explanation:
The equation for the line of best fit for the data is p=25s+40.
Where p is no. of points and s is no. fo strikes
We need to find the number of strikes made by a bowler with 140 points.
Put p = 140
p=25s+40
140 = 25s+40
Subtract 40 to both sides,
140-40 = 25s+40-40
100 = 25s
⇒ s = 4
So, there are 4 strikes made by a bowler with 140 points.
Answer:
5
Step-by-step explanation:
They are looking for the y intercept. I am assuming that the scale on the x and y axis are counting by 1's. If you start at the origin (0,0) and count up, you will see that the dotting line is going through (0,5)
Given that the maximum speed the cheetah can run is 70 mph, then:
distance traveled will be:
distance=speed×time
speed= 70 mph
=(70)/(60)=7/6 mile per minute
time=t min
distance=7/6t miles
b] Given that t=10, then the distance covered in 10 minutes will be:
distance=7/6(10)=11 2/3 miles
c] The cheetah's average round trip will be given by:
average rate=(70+40)/2=110/2=55 mph
The average rate can be said to be 55 mph.