Answer:
Correct option: D
Step-by-step explanation:
The distribution of sample means (), computed from various samples drawn from the same population, is known as the sampling distribution of sample means.
According to the Central Limit Theorem, if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and a huge random-samples (<em>n</em> ≥ 30) from the population is selected with replacement, then the distribution of the sample means will be approximately Normally distributed.
Then, the mean of the sample means is given by,
And the standard deviation of the sample means (also known as the standard error)is given by,
The probability curve for the sampling distribution of sample mean is symmetric and bell-shaped.
Thus, the statement that is not a property of the sampling distribution of the sample mean is (D).
Answer:
d= -5
Step-by-step explanation:
The slope of a line is found by finding the ratio of change is y values to change is x values
The points on the line have coordinates at: (-1,7) (-3,d)
where ;
Applying the formula with values as;
The value of d = -5
The coordinates of the points (-1,7) (-3,-5)
Answer: 2/3
Cathy rolls a number cube that is labeled from 1 to 6.
Total outcomes = {1,2,3,4,5,6}
she rolls an even number or a multiple of 3
Outcomes of an even number = {2,4,6}
Outcomes of multiple of 3 = {3,6}
so favorable outcomes of even number or a multiple of 3 = {2,3,4,6}
Probability ( any event) =number of favorable outcomes divide by total number of outcomes
probability(even number or a multiple of 3) =
Answer:
The number of boys are 18 and the number of girls are 30.
Step-by-step explanation:
The ratio of number of girls to the boys = 3 : 5
Let the number of girls is g and boys is b initially.
b : g = 3 : 5
5 b = 3 g ..... (1)
Now, girls are 6 + g and boys are b - 9
So, the ratio is
(b - 9) : (6 + g) = 1 : 4
4 b - 36 = 6 + g
4 b - g = 42 .... (2)
From ( 1 ) and ( 2 )
And , g = 5 x 18/3 = 30
So, the number of boys are 18 and the number of girls are 30.