Answer:
There is enough evidence to support the claim the mean nicotine content is actually higher than advertised.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 1.5
Sample mean, = 1.53
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 0.17
First, we design the null and the alternate hypothesis
We use one-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, we calculate the p-value from the standard normal table.
P-value = 0.038807
Since the p-value is less than the significance level we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Conclusion:
Thus, there is enough evidence to support the claim the mean nicotine content is actually higher than advertised.
Answer : 2.5
Step - by - step explanation :
X / Y = COP
5 / 2 = 2.5 or 2 1/2
Y = 2.5x
Answer:
<em>4.5 qt</em>
Step-by-step explanation:
30% of 15 qt is alcohol.
30% * 15 qt = 0.3 * 15 qt = 4.5 qt
Givens
Slower plane
r = r
t = 2.5 hours
d = d
Faster Plane
r_faster = 1.5 * r
t = 2.5 hours
d1 = d + 127.5
The time is the same for both
t = d/r
d1/r1 = d/r
(d+ 127.5)/1.5r = d/r Multiply each side by r
(d + 127.5)/1.5 = d Multiply both sides by 1.5
d + 127.5 = 1.5d Subtract d from both sides.
127.5 = 1.5d - d
127.5 = 0.5d Divide by 0.5
127.5 / 0.5 = d
255 = d
Now you can go back and figure out the rates.
First find d1
d1 = d + 127.5
d1 = 255 + 127.5
d1 = 382.5
<em><u>Rate of the slower plane</u></em>
d = 255
t = 2.5 hours
r = d/t
r = 255/2.5
r = 102 miles per hour.
<em><u>Faster plane</u></em>
d1 = 382.5 miles
t = 2.5 hours
r1 = d/t
r1 = 382.5/2.5 = 153 miles per hour.
If you would like to solve the equation p + 1/4 = 2, you can calculate this using the following steps:
p + 1/4 = 2
p = 2 - 1/4
p = 8/4 - 1/4
p = 7/4 = 1 3/4
The correct result would be 1 3/4.