Answer:
The standard error for the new sample size is of 23.4.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Interpretation:
From this, we can gather that the standard error is inversely proportional to the square root of the sample size, that is, for example, if the sample size is multiplied by 4, the standard error is divided by the square root of 4, which is 2.
Standard error of 52.4, sample size multiplied by 5. What is the standard error for the new sample size?
The standard error of 52.4 divided by the square root of 5. So
The standard error for the new sample size is of 23.4.
Answer:
4044
Step-by-step explanation:
14 × (pi × d)
14 × 3.14 × 92
4044.32 feet
The answer is: $ 85.81 .
_______________________________________________
Explanation:
_______________________________________________
(1 gal / 22 mi) * (930 mi) =
(1 gal / 22 mi) * (930 mi / 1) = {the units of "mi" ("miles" cancel out} ;
= (1 gal/ 22) * (930 / 1) = (1 gal * 930) ÷ (22 * 1) ;
= (930 gal) ÷ 22 ;
= (465 / 11) gal =
= 42 3/11 gal = 42.2727272727.... gal .
________________________________________________________
(456 /11) gal * ($ 2.03 / gal) =
$85.813636363636363581 -------> round to: $85.81 .
__________________________________________________________
Answer:
Total ways = 5×5×5×5×5
Total ways = 5^5
Total ways = 3125
Therefore, the correct option is C) 5^5
Step-by-step explanation:
John has pairs of red, orange, yellow, blue and green socks.
Which means that John has 5 different colors pairs of socks.
We are asked to find out in how many ways can he wear them over 5 days.
1st Day:
On the first day John has 5 ways to choose from.
2nd Day:
On the second day John has 5×5 ways to choose from.
(Since repetition is allowed)
3rd Day:
On the third day John has 5×5×5 ways to choose from.
4th Day:
On the fourth day John has 5×5×5×5 ways to choose from.
5th Day:
On the fifth day John has 5×5×5×5×5 ways to choose from.
Total ways = 5×5×5×5×5
Total ways = 5^5
Total ways = 3125
Therefore, the correct option is C) 5^5
