Search & Filtering
What are the two things you should do before you start finding the equation of the regression line?
A population consisting of 6 measurements 4 ̧ 5 ̧ 8 ̧ 12 ̧ 9 and 12.
a. Solve for the mean of the population.
b. Solve for the variance of the population.
c. Suppose samples of size 4 are to be taken from this population ̧ what is
the mean of the sampling distribution?
d. What is its variance of the sampling distribution?
e. What is the standard error of the mean?
f. Determine whether the estimate for the population mean is good or bad.
Support your answer.
500 children participated in a field demonstration. Their heights averaged 105 cm with a standard deviation of 5cm. How many children belong to upper 15% of the group.
In a certain Barangay, 550 random residents are chosen in which 225 are males. At a=0.01, test the hypothesis that more than 35% of the Barangay population are male residents.
A researcher wishes to determine the proportion of college students who smoke. He determined that from a sample of 150 college students, 35admitted that they smoke.Is it valid to infer that 23% of college students smoke? Use a = 0.05
7. A ball is thrown vertically upward with a speed of 7.1 m/s. Find:
(9 points)
a. Maximum height reached the ball
b. Its time of flight
c. Velocity the ball would return to its starting point
5. A cart is at x = 5.25m and time t = 0. The cart accelerates at
4.15m/s^2. If The speed of the cart at t=0 is 3m/s, find the position
of the cart at t =2s and also determine where the cart is when it
reaches a speed of 5m/s. (3 points)
6. A stone is thrown vertically up with an initial velocity of 4.9m/s from
the top of the building that is 64m high. On its way down, it misses
the top of the building and goes straight to the ground. Find:
(9 points)
a. Its maximum height relative to the ground
b. Its time of flight or the total time it is in air, and
c. Its velocity just before it reaches the ground.
3. Mrs. Mariann Alvarez is approaching a stoplight moving with a
velocity of +25.0 m/s. The light turns yellow, and Ima applies the
brakes and skids to a stop. If Ima's acceleration is -8.00 m/s2, then
determine the displacement of the car during the skidding process.
(Note that the direction of the velocity and the acceleration vectors
are denoted by a + and a - sign.) (3 points)
4. Riza is waiting at a stoplight. When it finally turns green, Riza
accelerated from rest at a rate of a 4.75.00 m/s2 for a time of 4.30
seconds. Determine the displacement of Riza's car during this time
period. (3 points)
1. Jo Ann and her lab partner are completing a free fall lab in physics.
Her partner drops the ball in front of the motion sensor to measure
its speed. Assuming acceleration is constant and air resistance is
negligible, how far does the object fall if it reaches a speed of 9.8
m/s? (3 points)
2. Anneth and her partner disagree about whether or not she can make
a picket fence drop to the ground in exactly 3.0 s. Her partner thinks
the fence is too light to drop that quickly, but she’s convinced it’s possible. Assuming acceleration is constant and air resistance is
negligible, from how high does she have to drop the picket fence for
the smart gate to measure its ground impact at exactly 1.0 s?
Which of these relations on the set of all people are equivalence relations? Determine the properties of an equivalence relation that the others lack.
2a) {(a, b) ∣ a and b are the same age}
2b) {(a, b) ∣ a and b speak a common language}
