Answer:
95% confidence interval for the population mean is 20.255 and 17.945
Step-by-step explanation:
given data
mean = 19.1
standard deviation = 1.5
n = 9
to find out
95% confidence interval for the population mean
solution
we know 95% confidence interval formula i.e.
mean +/- t * standard deviation/
.............1
here t for 9 students 2.31 ( from t table)
so put all value n t standard deviation and mean in equation 1
= mean +/- t * standard deviation/
= 19.1 +/- 2.31 * 1.5/
= 19.1 +/- 2.31 * 1.5/
= 20.255 and 17.945
95% confidence interval for the population mean is 20.255 and 17.945
consider X-axis along the east-west direction and north-south direction along Y-axis
A = magnitude of distance traveled by hiker in north-east direction = 30 kilometer
θ = angle of direction of displacement of the hiker relative to x-axis or east direction = 45 degree counterclockwise
A' = component of distance traveled by the hiker along the east direction.
Since the angle is given with the x-axis, the Sin provides the component in Y-direction. hence
Using the equation
A' = A Sinθ
Inserting the values
A' = (30) Sin45
A' = 21.2 km
Answer:
80
Step-by-step explanation:
Answer:
0.150,0.595
Step-by-step explanation:
Given that at a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump regular, 30% pay at least $30. Of those who pump midgrade, 50% pay at least $30. And of those who pump premium, 60% pay at least $30.
Regular gas Midgrade Premium gas Total
Percent 40 35 25 100
atleast 30 30% 50% 60%
a) The probability that the next customer pumps premium gas and pays at least $30
=
b) the probability that the next customer pays at least $30
= P(regular and pays atleast 30%)+P(premium and pays atleast 30%)+P(midgrade and pays atleast 30%)
=
Answer:
Step-by-step explanation:
