Answer:
A sample of 17 must be selected.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of 
.
That is z with a pvalue of 
, so Z = 2.054.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The standard deviation from a previous study is 4 hours.
This means that 
How large a sample must be selected if he wants to be 96% confident of finding whether the true mean differs from the sample mean by 2 hours?
A sample of n is required.
n is found for M = 2. So
Simplifying both sides by 2:
Rounding up:
A sample of 17 must be selected.
In this question it is important to look at all the information's that are given. Based on those given information's, the answer to the question can be very easily deduced. Now let us concentrate on the problem in hand.
The number of paychecks that Frances gets in 12 weeks = 6
Then
The number of paychecks that Frances gets in 1 week = (6/12)
= (1/2)
So
The number of paychecks that Frances gets in 52 weeks = (1/2) * 52
= 26
So Frances gets 26 paychecks in 52 weeks.
We need specifics about the data
Answer:
smaller number = 3 5/24
larger number = 6 13/24
Step-by-step explanation:
let the larger number = x
smaller number = y
x - y = 3 1/3 equation 1
2(x +y) = 191/2 equation 2
divide equation 2 through by 2
x + y = 9 3/4 equation 3
subtract equation 1 from 3
2y = 6 5/12
y = 77/12 x 1/2 = 3 5/24
substitute for y in equation 1
x - 3 5/24 = 31/3
x = 3 1/3 + 3 5/24
x = 6 13/24
14(1/2) because the 14(1/2) equals 7 and there are 7 days in one week
