Answer:
There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes
Step-by-step explanation:
H0 : μ = 3.8
H1 : μ < 3.8
Test statistic :
(x - μ) ÷ s/sqrt(n)
(3.7 - 3.8) ÷ 0.6/sqrt(60)
Test statistic = - 1.29
The Pvalue from test statistic :
P(z < -1.29) = 0.0985
Reject Null if
Pvalue < α
0.0986 > 0.01 ; Hence, we fail to reject the null ;
There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes
Answer:
And we can find this probability using the normal standard table or excel:
Step-by-step explanation:
Previous concepts
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".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amount of ml of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel:
4/11 + 1/2 = 19/22 hope this helps
Cos60 degrees=1/2, so AK/AB=1/2. Since AK=KD, AK=1/2AD=1/2AB. Therefore, AB=AD. This is a rhombus, with four equal sides. Triangle ABK is congruent to triangle DBK (SAS), since AK=KD, angle AKB=angle BKD=90, and BK=BK. Therefore, BD=AB. The sum of four side lengths is 24. Each side length is equal to 24/4=6. BD=6.