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A particle start from rest and moves in a straight Line on a smooth horizontal surface.The speed of the particle given that V=e^2-1/4 when t=1.Show that V=1/4(e^2t-1)
1. The teacher would like to find out if there is significant difference in the performance of the male and female students in 35 item test in English. He wants to consider 0.5% level of significance. The result is shown below:
MALE STUDENTS
sample size = 8
sample mean = 24.27
standard deviation = 9.36
FEMALE STUDENTS
sample size = 7
sample mean = 21.07
standard deviation = 8.25
Solve and find the Arithmetic mean of the following data representing the salary of theemployees in a factory (X = Rs in 1000)
X
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
f
5
8
7
21
23
19
6
in the game of bridge each of 4 players is dealt 13 cars from an ordinary well-shuffled deck of 52 cards. Find the probability that one of the players gets a) 7 diamonds, 2 clubs, 3 hearts, and one spade, b) a complete suit, c) 9 cards are of one suit
Given the following situations, write A, if it is two-tailed, B if one-tailed (left-
tailed), and C if one-tailed (right-tailed). (10 points)
1. Research on processed foods lessens the life span of a person.
2. A government official claims that the dropout rate for local schools is 25%.
3. A civil engineer is trying to prove that his new method of laying blocks is more
effective than the traditional method.
4. A new stockbroker, named XYZ, claims that their brokerage fees are lower than
that of the current fee.
5. A government official claims that the dropout rate for local schools is 25%.
Given the following situations, write A, if it is two-tailed, B if one-tailed (left-tailed), and C if one-tailed (right-tailed). (10 points)
1. A mother wants to prove that listening to classical music improves children's thinking process.
2. The principal of a certain school claims that the dropout rate for the certain municipality is higher than 25%.
3. Research on whether computer aided instruction is the same as lecture method
of a lesson presentation.
4. Research on smoking lessens the life span of a person.
5. Determine whether the mean monthly salary of call center agents is 25,000 a
month.
A. State the null hypothesis (π»π) and the alternative hypothesis (π»π) for each
of the following. (10 points)
1. A medical trial is conducted to test whether or not a new medicine reduces
cholesterol by 25%.
π»π:
π»π:
2. We want to test whether the mean GPA of students in a certain college is different
from 2.0 (out of 4.0).
3. We want to test if college students take less than five years to graduate from
college, on the average.
π»π:
π»π:
4. On a state driverβs test, about 40% pass the test on the first try. We want to test if
more than 40% pass on the first try.
π»π:
π»π:
5. A research on whether computer aided instruction is better than lecture method
of a lesson presentation.
π»π:
π»π:
Forces F1,F3 and F3 act at points with position Vectors r1,r2 and r4 respectively where F1=(3i+5j)N,F2=(2i-4j)N,F3=(-5i-j)N, r1=(i-j)m,r2=(2i+j)m,r3=(-6i+j)m.Show that this system of forces form a couple giving the magnitude of the couple
Find complete integral of 2p1x2x3 + 3p2x3^2 + P2 ^2 P3 = 0
1. Find the volume of the solid generated by revolving the region between the parabola
x = yΒ² + 1 and the line x = 3 about the line x = 3.
2. Find the area of the region bounded above by the curve π¦ = 2π^βπ₯ + π₯, below by the curve y =π/π₯ 2, on the left by x = 0, and on the right by x = 1
