Answer:
a) the sample size (n) = 156.25≅ 156
Step-by-step explanation:
<u>Step1 </u>:-
Given the two sample sizes are equal so 
Given the standard error (S.E) = 0.04
The standard error of the proportion of the given sample size

Step 2:-
here we assume that the proportion of boys and girls are equally likely
p= 1/2 and q= 1/2


squaring on both sides, we get

on simplification, we get
n= 156.25 ≅ 156
sample size (n) = 156
<u>verification</u>:-
Standard error = 0.04
<span>$152.51
y o u r a n s w e r i s a b o v e
</span>
umm ,this is too long could you maybe putt it in smaller form so I can answer
Answer:
Step-by-step explanation:
The question is incomplete. The complete question is:
An insurance company reported that, on average claims for a certain medical procedure are $942. an independent organization constructed a 95% confidence interval of ($930, $950) for the average amount claimed for the particular medical procedure. what conclusion best evaluates the truthfulness of the number reported by the insurance company?
a) with 95% certainty, the average claim for this medical procedure is $942.
b) with 95% certainty, the average claim for this medical procedure is not $942.
c) the confidence interval is consistent with an average claim of $942 for this medical procedure
Solution:
Confidence interval is used to express how confident we are that the population parameter that we are looking for is contained in a range of given values. Looking at the given confident interval, the lower limit is $930 and the upper limit is $950. We can see that the population mean, $942 lies within these values. The correct option would be
c) the confidence interval is consistent with an average claim of $942 for this medical procedure
Part A:
To determine the values of the times to which the height of the two cannon balls are the same, we equate the given functions.
H(t) = g(t)
Substitute the expressions for each.
-16t² + 48t + 12 = 10 + 15.2t
Transpose all the terms to the left-hand side of the equation.
-16t² + (48 - 15.2)t + (12 - 10) = 0
Simplifying,
-16t² + 32.8t + 2 = 0
The values of t from the equation are 2.11 seconds and -0.059 seconds
Part B:
In the context of the problem, only 2.11 seconds is acceptable. This is because the second value of t which is equal to -0.059 seconds is not possible since there is no negative value for time.