The length of pendulum is 2.485 feet
<h3><u><em>Solution:</em></u></h3>Given that,
The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth
<u><em>Therefore, the given formula is:</em></u>
We have to find the length of pendulum that makes one full swing in 1.75 seconds
So the modify the given equation to find "L"
Substitute T = 1.75 seconds and
Thus length of pendulum is 2.485 feet approximately
As per given , we have
sample size : n= 65
degree of freedom : df=n-1=64
sample mean :
sample standard deviation : s= 5.2
Since , the population standard deviation is not given , so we apply t-test.
Significance level for 90% confidence :
t-critical value for significance level 0.10 and df = 64 would be :
Formula for Confidence interval :
Then , 90% confidence intervals for the population mean number of weekly customer contacts for the sales personnel would be :
∴ 90% confidence intervals for the population mean number of weekly customer contacts for the sales personnel : (18.424, 20.576)
Significance level for 95% confidence :
t-critical value for significance level 0.05 and df = 64 would be :
Then , 95% confidence intervals for the population mean number of weekly customer contacts for the sales personnel would be :
∴ 95% confidence intervals for the population mean number of weekly customer contacts for the sales personnel : (18.212, 20.788)
Answer:
(a) Not mutually exclusive
(b)80%
Step-by-step explanation:
Mutually Exclusive events are events which cannot occur at the same time. An example is walking forward and backward. When events are presented using Venn diagram, if the sets are disjoint, they are mutually exclusive, otherwise they are not.
(a)The given events "burger" and "fries" are not mutually exclusive since their intersection is not empty as can be seen from the attached Venn diagram.
(b) Probability that a randomly selected person from this sample bought a burger OR bought fries.
P(A or B)=
