The confidence interval for the mean population of drivers who do not like driving at night is 57.79% - 62.21%.
<h3><u>Confidence interval</u></h3>
To determine what is the 92% confidence interval for the population mean of drivers that do not like driving at night, the following calculation must be performed:
- 1500 = 100
- 900 =X
- 900 x 100 / 1500 = X
- 60 = X
- 60 x 0.92 = 55.2
- 60 x 1.08 = 64.8
Therefore, the confidence interval for the mean population of drivers who do not like driving at night is 57.79% - 62.21%.
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Correct answers are:
1) 1/3 (NOT 3/10). .3 repeating is not 3/10, 3/10 is .3.
2) 1/8. To solve, .125 has three places, so use 1000. 1000/125 is 8, that is your denominator. 125/125 is 1 is your numerator.
3) 1/6 (divide 100/16, which is 6 ¼ - round to 6. If you carry this out to 1,000,000/166,667, it is very close to 6.
4) 1/10
5) 2/3 (NOT 3/5)
6) 1/5 (2/10 reduced to 1/5)
7) 3/4 (75/100 reduced)
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Step-by-step explanation:
S = { 1, 2, 3, 4, 5, 6 7, 8 }
n ( S ) = 8
Let A be the event of getting 4,
A = { 4 }
n ( A ) = 1
P ( A )
= n ( A ) / n ( S )
= 1 / 8
Therefore, the probability of spinning a 4 is 1 / 8.
S = { A, B, A, C, A, B }
n ( S ) = 6
Let Y be the event of getting C,
Y = { C }
n ( Y ) = 1
P ( Y )
= n ( Y ) / n ( S )
= 1 / 6
Therefore, the probability of spinning a C is 1 / 6.